Experimental observation of Weyl points

Lu, Ling; Wang, Zhiyu; Ye, Dexin; Ran, Lixin; Fu, Liang; Joannopoulos, John D.; Soljačić, Marin

doi:10.1126/science.aaa9273

Title: Experimental observation of Weyl points

Abstract

The massless solutions to the Dirac equation are described by the so-called Weyl Hamiltonian. The Weyl equation requires a particle to have linear dispersion in all three dimensions while being doubly degenerate at a single momentum point. These Weyl points are topological monopoles of quantized Berry flux exhibiting numerous unusual properties. We performed angle-resolved microwave transmission measurements through a double-gyroid photonic crystal with inversion-breaking where Weyl points have been theoretically predicted to occur. The excited bulk states show two linear dispersion bands touching at four isolated points in the three-dimensional Brillouin zone, indicating the observation of Weyl points. Here, we pave the way to a variety of photonic topological phenomena in three dimensions.

Authors:

Lu, Ling ^[1]; Wang, Zhiyu ^[2]; Ye, Dexin ^[2]; Ran, Lixin ^[2]; Fu, Liang ^[1]; Joannopoulos, John D. ^[1]; Soljačić, Marin ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Zhejiang Univ., Hangzhou, Zhejiang (China). Lab. of Applied Research on Electromagnetics (ARE)

Publication Date:: 2019-08-07

Research Org.:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1370988

Grant/Contract Number:: SC0001299; FG02-09ER46577

Resource Type:: Accepted Manuscript

Journal Name:: Science

Additional Journal Information:: Journal Volume: 349; Journal Issue: 6248; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 0036-8075

Publisher:: AAAS

Country of Publication:: United States

Language:: English

Subject:: 14 SOLAR ENERGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)

Citation Formats


                    Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., and Soljačić, Marin. Experimental observation of Weyl points.  United States: N. p., 2019. 
Web.  doi:10.1126/science.aaa9273.

Copy to clipboard


                    Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., & Soljačić, Marin. Experimental observation of Weyl points.  United States.  https://doi.org/10.1126/science.aaa9273

Copy to clipboard


                    Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., and Soljačić, Marin. Wed .  
"Experimental observation of Weyl points".  United States.  https://doi.org/10.1126/science.aaa9273.  https://www.osti.gov/servlets/purl/1370988.

Copy to clipboard


                    
@article{osti_1370988,

  title        = {Experimental observation of Weyl points},

  author       = {Lu, Ling and Wang, Zhiyu and Ye, Dexin and Ran, Lixin and Fu, Liang and Joannopoulos, John D. and Soljačić, Marin},

  abstractNote = {The massless solutions to the Dirac equation are described by the so-called Weyl Hamiltonian. The Weyl equation requires a particle to have linear dispersion in all three dimensions while being doubly degenerate at a single momentum point. These Weyl points are topological monopoles of quantized Berry flux exhibiting numerous unusual properties. We performed angle-resolved microwave transmission measurements through a double-gyroid photonic crystal with inversion-breaking where Weyl points have been theoretically predicted to occur. The excited bulk states show two linear dispersion bands touching at four isolated points in the three-dimensional Brillouin zone, indicating the observation of Weyl points. Here, we pave the way to a variety of photonic topological phenomena in three dimensions.},

  doi          = {10.1126/science.aaa9273},

  journal      = {Science},

  number       = 6248,

  volume       = 349,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1126/science.aaa9273

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 491 works

Citation information provided by
Web of Science

Figures / Tables:

FIG. 1: Weyl points found in the bandstructure of a P-breaking gyroid photonic crystal. a) The Weyl points are monopoles of Berry flux in the momentum space. b) The bcc cell of the DG with a P-breaking defect on the red gyroid, where a₁ = (−1, 1, 1) $\frac{a}{2}$ ,more »

All figures and tables (3 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods
journal, July 1994

Özbay, E.; Abeyta, A.; Tuttle, G.
Physical Review B, Vol. 50, Issue 3
DOI: 10.1103/PhysRevB.50.1945

Photonic band structure: The face-centered-cubic case employing nonspherical atoms
journal, October 1991

Yablonovitch, E.; Gmitter, T.; Leung, K.
Physical Review Letters, Vol. 67, Issue 17
DOI: 10.1103/PhysRevLett.67.2295

Charge Transport in Weyl Semimetals
journal, January 2012

Hosur, Pavan; Parameswaran, S. A.; Vishwanath, Ashvin
Physical Review Letters, Vol. 108, Issue 4
DOI: 10.1103/PhysRevLett.108.046602

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
journal, August 2011

Yang, Kai-Yu; Lu, Yuan-Ming; Ran, Ying
Physical Review B, Vol. 84, Issue 7
DOI: 10.1103/PhysRevB.84.075129

A Bicontinuous Double Gyroid Hybrid Solar Cell
journal, August 2009

Crossland, Edward J. W.; Kamperman, Marleen; Nedelcu, Mihaela
Nano Letters, Vol. 9, Issue 8
DOI: 10.1021/nl803174p

Electromagnetic characterization of millimetre-scale replicas of the gyroid photonic crystal found in the butterfly Parides sesostris
journal, February 2012

Pouya, C.; Vukusic, P.
Interface Focus, Vol. 2, Issue 5
DOI: 10.1098/rsfs.2011.0091

Elektron und Gravitation. I
journal, May 1929

Weyl, Hermann
Zeitschrift f�r Physik, Vol. 56, Issue 5-6
DOI: 10.1007/BF01339504

Weyl semimetals from noncentrosymmetric topological insulators
journal, October 2014

Liu, Jianpeng; Vanderbilt, David
Physical Review B, Vol. 90, Issue 15
DOI: 10.1103/PhysRevB.90.155316

Topological photonics
journal, October 2014

Lu, Ling; Joannopoulos, John D.; Soljačić, Marin
Nature Photonics, Vol. 8, Issue 11
DOI: 10.1038/nphoton.2014.248

Measurement of photonic band structure in a two-dimensional periodic dielectric array
journal, March 1992

Robertson, W. M.; Arjavalingam, G.; Meade, R. D.
Physical Review Letters, Vol. 68, Issue 13
DOI: 10.1103/PhysRevLett.68.2023

Recent developments in transport phenomena in Weyl semimetals
journal, November 2013

Hosur, Pavan; Qi, Xiaoliang
Comptes Rendus Physique, Vol. 14, Issue 9-10
DOI: 10.1016/j.crhy.2013.10.010

Optical Broadband Angular Selectivity
journal, March 2014

Shen, Y.; Ye, D.; Celanovic, I.
Science, Vol. 343, Issue 6178, p. 1499-1501
DOI: 10.1126/science.1249799

Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point
journal, January 2014

Chua, Song-Liang; Lu, Ling; Bravo-Abad, Jorge
Optics Letters, Vol. 39, Issue 7
DOI: 10.1364/OL.39.002072

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Liu, Z. K.; Zhou, B.; Zhang, Y.
Science, Vol. 343, Issue 6173
DOI: 10.1126/science.1245085

Miniature chiral beamsplitter based on gyroid photonic crystals
journal, September 2013

Turner, Mark D.; Saba, Matthias; Zhang, Qiming
Nature Photonics, Vol. 7, Issue 10
DOI: 10.1038/nphoton.2013.233

Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals
journal, October 2014

Potter, Andrew C.; Kimchi, Itamar; Vishwanath, Ashvin
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms6161

Accidental Degeneracy in the Energy Bands of Crystals
journal, August 1937

Herring, Conyers
Physical Review, Vol. 52, Issue 4
DOI: 10.1103/PhysRev.52.365

Fabrication and characterization of three-dimensional biomimetic chiral composites
journal, January 2011

Turner, Mark D.; Schröder-Turk, Gerd E.; Gu, Min
Optics Express, Vol. 19, Issue 10
DOI: 10.1364/OE.19.010001

Observation of unidirectional backscattering-immune topological electromagnetic states
journal, October 2009

Wang, Zheng; Chong, Yidong; Joannopoulos, J. D.
Nature, Vol. 461, Issue 7265
DOI: 10.1038/nature08293

Chern Semimetal and the Quantized Anomalous Hall Effect in ${HgCr}_{2} {Se}_{4}$
journal, October 2011

Xu, Gang; Weng, Hongming; Wang, Zhijun
Physical Review Letters, Vol. 107, Issue 18
DOI: 10.1103/PhysRevLett.107.186806

Dirac Semimetal in Three Dimensions
journal, April 2012

Young, S. M.; Zaheer, S.; Teo, J. C. Y.
Physical Review Letters, Vol. 108, Issue 14
DOI: 10.1103/PhysRevLett.108.140405

Prediction of a Weyl semimetal in ${Hg}_{1 - x - y}$ ${Cd}_{x}$ ${Mn}_{y}$ Te
journal, February 2014

Bulmash, Daniel; Liu, Chao-Xing; Qi, Xiao-Liang
Physical Review B, Vol. 89, Issue 8
DOI: 10.1103/PhysRevB.89.081106

Photonic Floquet topological insulators
journal, April 2013

Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
Nature, Vol. 496, Issue 7444
DOI: 10.1038/nature12066

Imaging topological edge states in silicon photonics
journal, October 2013

Hafezi, M.; Mittal, S.; Fan, J.
Nature Photonics, Vol. 7, Issue 12
DOI: 10.1038/nphoton.2013.274

Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
journal, May 2015

Hirayama, Motoaki; Okugawa, Ryo; Ishibashi, Shoji
Physical Review Letters, Vol. 114, Issue 20
DOI: 10.1103/PhysRevLett.114.206401

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983

Nielsen, H. B.; Ninomiya, Masao
Physics Letters B, Vol. 130, Issue 6
DOI: 10.1016/0370-2693(83)91529-0

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007

Shuichi Murakami,
New Journal of Physics, Vol. 9, Issue 9
DOI: 10.1088/1367-2630/9/9/356

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin
Physical Review B, Vol. 83, Issue 20
DOI: 10.1103/PhysRevB.83.205101

Topological Crystalline Insulators
journal, March 2011

Fu, Liang
Physical Review Letters, Vol. 106, Issue 10
DOI: 10.1103/PhysRevLett.106.106802

Direct creation of three-dimensional photonic crystals by a top-down approach
journal, August 2009

Takahashi, Shigeki; Suzuki, Katsuyoshi; Okano, Makoto
Nature Materials, Vol. 8, Issue 9
DOI: 10.1038/nmat2507

Weyl points and line nodes in gyroid photonic crystals
journal, March 2013

Lu, Ling; Fu, Liang; Joannopoulos, John D.
Nature Photonics, Vol. 7, Issue 4
DOI: 10.1038/nphoton.2013.42

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Burkov, A. A.; Balents, Leon
Physical Review Letters, Vol. 107, Issue 12
DOI: 10.1103/PhysRevLett.107.127205

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

Weng, Hongming; Fang, Chen; Fang, Zhong
Physical Review X, Vol. 5, Issue 1
DOI: 10.1103/PhysRevX.5.011029

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015

Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms8373

Topological photonic crystal in three dimensions
conference, January 2016

Lu, Ling; Fang, Chen; Fu, Liang
CLEO: QELS_Fundamental Science, Conference on Lasers and Electro-Optics
DOI: 10.1364/CLEO_QELS.2016.FM3A.1

Topological Crystalline Insulators
text, January 2010

Fu, Liang
arXiv
DOI: 10.48550/arxiv.1010.1802

Recent developments in transport phenomena in Weyl semimetals
text, January 2013

Hosur, Pavan; Qi, Xiaoliang
arXiv
DOI: 10.48550/arxiv.1309.4464

Works referencing / citing this record:

Discovery of a new type of topological Weyl fermion semimetal state in MoxW1−xTe2
journal, December 2016

Belopolski, Ilya; Sanchez, Daniel S.; Ishida, Yukiaki
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13643

Nontrivial Chern Numbers in Three-Terminal Josephson Junctions
journal, September 2017

Meyer, Julia S.; Houzet, Manuel
Physical Review Letters, Vol. 119, Issue 13
DOI: 10.1103/PhysRevLett.119.136807

Floquet Weyl Magnons in Three-Dimensional Quantum Magnets
journal, July 2018

Owerre, S. A.
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-018-28508-5

Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
journal, January 2019

Slobozhanyuk, Alexey; Shchelokova, Alena V.; Ni, Xiang
Applied Physics Letters, Vol. 114, Issue 3
DOI: 10.1063/1.5055601

Topological phase with a critical-type nodal line state in intermetallic CaPd
journal, August 2018

Liu, Guodong; Jin, Lei; Dai, Xuefang
Physical Review B, Vol. 98, Issue 7
DOI: 10.1103/physrevb.98.075157

Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
journal, February 2016

Lucas, Andrew; Crossno, Jesse; Fong, Kin Chung
Physical Review B, Vol. 93, Issue 7
DOI: 10.1103/physrevb.93.075426

From graphene to fullerene: experiments with microwave photonic crystals
journal, November 2018

Dietz, B.; Richter, A.
Physica Scripta, Vol. 94, Issue 1
DOI: 10.1088/1402-4896/aaec96

Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
journal, January 2016

Liang, Long; Yu, Yue
Physical Review B, Vol. 93, Issue 4
DOI: 10.1103/physrevb.93.045113

Nexus fermions in topological symmorphic crystalline metals
journal, May 2017

Chang, Guoqing; Xu, Su-Yang; Huang, Shin-Ming
Scientific Reports, Vol. 7, Issue 1
DOI: 10.1038/s41598-017-01523-8

Direct observation of topological surface-state arcs in photonic metamaterials
journal, July 2017

Yang, Biao; Guo, Qinghua; Tremain, Ben
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/s41467-017-00134-1

Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics
journal, April 2016

Ozawa, Tomoki; Price, Hannah M.; Goldman, Nathan
Physical Review A, Vol. 93, Issue 4
DOI: 10.1103/physreva.93.043827

Dynamic current-current susceptibility in three-dimensional Dirac and Weyl semimetals
journal, January 2018

Thakur, Anmol; Sadhukhan, Krishanu; Agarwal, Amit
Physical Review B, Vol. 97, Issue 3
DOI: 10.1103/physrevb.97.035403

Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals
journal, February 2016

Belopolski, Ilya; Xu, Su-Yang; Sanchez, Daniel S.
Physical Review Letters, Vol. 116, Issue 6
DOI: 10.1103/physrevlett.116.066802

Diagnosis for Nonmagnetic Topological Semimetals in the Absence of Spin-Orbital Coupling
journal, September 2018

Song, Zhida; Zhang, Tiantian; Fang, Chen
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/physrevx.8.031069

Synthetic gauge flux and Weyl points in acoustic systems
journal, September 2015

Xiao, Meng; Chen, Wen-Jie; He, Wen-Yu
Nature Physics, Vol. 11, Issue 11
DOI: 10.1038/nphys3458

Observation of Weyl nodes and Fermi arcs in tantalum phosphide
journal, March 2016

Xu, N.; Weng, H. M.; Lv, B. Q.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms11006

Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs
journal, March 2016

Xu, Su-Yang; Belopolski, Ilya; Sanchez, Daniel S.
Physical Review Letters, Vol. 116, Issue 9
DOI: 10.1103/physrevlett.116.096801

Topological Maxwell Metal Bands in a Superconducting Qutrit
journal, March 2018

Tan, Xinsheng; Zhang, Dan-Wei; Liu, Qiang
Physical Review Letters, Vol. 120, Issue 13
DOI: 10.1103/physrevlett.120.130503

Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
journal, April 2017

Zhang, Dan-Wei; Liu, Rui-Bin; Zhu, Shi-Liang
Physical Review A, Vol. 95, Issue 4
DOI: 10.1103/physreva.95.043619

Type-I and type-II Weyl fermions, topological depletion, and universal subleading scaling across topological phase transitions
journal, July 2017

Sun, Fadi; Ye, Jinwu
Physical Review B, Vol. 96, Issue 3
DOI: 10.1103/physrevb.96.035113

Topological phonons and thermoelectricity in triple-point metals
text, January 2018

Singh, Sobhit; Wu, QuanSheng; Yue, Changming
American Physical Society
DOI: 10.5167/uzh-159715

RKKY interaction of magnetic impurities in multi-Weyl semimetals
journal, October 2017

Sun, Yong; Wang, Anmin
Journal of Physics: Condensed Matter, Vol. 29, Issue 43
DOI: 10.1088/1361-648x/aa8932

Weyl magnons in noncoplanar stacked kagome antiferromagnets
journal, March 2018

Owerre, S. A.
Physical Review B, Vol. 97, Issue 9
DOI: 10.1103/physrevb.97.094412

Weyl magnons in breathing pyrochlore antiferromagnets
journal, September 2016

Li, Fei-Ye; Li, Yao-Dong; Kim, Yong Baek
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms12691

Topological semimetals with triply degenerate nodal points in $θ$ -phase tantalum nitride
journal, June 2016

Weng, Hongming; Fang, Chen; Fang, Zhong
Physical Review B, Vol. 93, Issue 24
DOI: 10.1103/physrevb.93.241202

Topological Hopf and Chain Link Semimetal States and Their Application to ${Co}_{2} Mn G a$
journal, October 2017

Chang, Guoqing; Xu, Su-Yang; Zhou, Xiaoting
Physical Review Letters, Vol. 119, Issue 15
DOI: 10.1103/PhysRevLett.119.156401

Experimental Observation of $P T$ Symmetry Breaking near Divergent Exceptional Points
journal, November 2019

Sakhdari, M.; Hajizadegan, M.; Zhong, Q.
Physical Review Letters, Vol. 123, Issue 19
DOI: 10.1103/physrevlett.123.193901

Pseudospin Vortex Ring with a Nodal Line in Three Dimensions
journal, January 2017

Lim, Lih-King; Moessner, Roderich
Physical Review Letters, Vol. 118, Issue 1
DOI: 10.1103/physrevlett.118.016401

Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
journal, August 2018

He, Hailong; Qiu, Chunyin; Ye, Liping
Nature, Vol. 560, Issue 7716
DOI: 10.1038/s41586-018-0367-9

Observation of Half-Quantum Vortices in Topological Superfluid ${}^{3}{He}$
journal, December 2016

Autti, S.; Dmitriev, V. V.; Mäkinen, J. T.
Physical Review Letters, Vol. 117, Issue 25
DOI: 10.1103/physrevlett.117.255301

Induced superconductivity in Fermi arcs
journal, July 2019

Faraei, Z.; Jafari, S. A.
Physical Review B, Vol. 100, Issue 3
DOI: 10.1103/physrevb.100.035447

Centrosymmetric Li 2 NaN: a superior topological electronic material with critical-type triply degenerate nodal points
journal, January 2019

Jin, Lei; Zhang, Xiaoming; Dai, Xuefang
Journal of Materials Chemistry C, Vol. 7, Issue 5
DOI: 10.1039/c8tc05930f

Topological nodal line states in three-dimensional ball-and-stick sonic crystals
journal, December 2019

Geng, Zhi-Guo; Peng, Yu-Gui; Shen, Ya-Xi
Physical Review B, Vol. 100, Issue 22
DOI: 10.1103/physrevb.100.224105

Unified Theory of $P T$ and $C P$ Invariant Topological Metals and Nodal Superconductors
journal, April 2016

Zhao, Y. X.; Schnyder, Andreas P.; Wang, Z. D.
Physical Review Letters, Vol. 116, Issue 15
DOI: 10.1103/physrevlett.116.156402

Three Dimensional Photonic Dirac Points in Metamaterials
journal, November 2017

Guo, Qinghua; Yang, Biao; Xia, Lingbo
Physical Review Letters, Vol. 119, Issue 21
DOI: 10.1103/physrevlett.119.213901

Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
journal, December 2015

Xu, Yong; Zhang, Fan; Zhang, Chuanwei
Physical Review Letters, Vol. 115, Issue 26
DOI: 10.1103/physrevlett.115.265304

Topological acoustic polaritons: robust sound manipulation at the subwavelength scale
journal, July 2017

Yves, Simon; Fleury, Romain; Lemoult, Fabrice
New Journal of Physics, Vol. 19, Issue 7
DOI: 10.1088/1367-2630/aa66f8

Type-II Dirac photons
journal, September 2017

Wang, Hai-Xiao; Chen, Yige; Hang, Zhi Hong
npj Quantum Materials, Vol. 2, Issue 1
DOI: 10.1038/s41535-017-0058-z

Presence of exotic electronic surface states in LaBi and LaSb
journal, October 2016

Niu, X. H.; Xu, D. F.; Bai, Y. H.
Physical Review B, Vol. 94, Issue 16
DOI: 10.1103/physrevb.94.165163

Type-II Dirac Photons at Metasurfaces
journal, July 2018

Hu, Chuandeng; Li, Zhenyu; Tong, Rui
Physical Review Letters, Vol. 121, Issue 2
DOI: 10.1103/physrevlett.121.024301

Enhanced photonic spin Hall effect with subwavelength topological edge states: Enhanced photonic spin Hall effect with subwavelength topological edge states
journal, May 2016

Slobozhanyuk, Alexey P.; Poddubny, Alexander N.; Sinev, Ivan S.
Laser & Photonics Reviews, Vol. 10, Issue 4
DOI: 10.1002/lpor.201600042

Topological states in photonic systems
journal, June 2016

Lu, Ling; Joannopoulos, John D.; Soljačić, Marin
Nature Physics, Vol. 12, Issue 7
DOI: 10.1038/nphys3796

Prediction and control of spin polarization in a Weyl semimetallic phase of BiSb
journal, October 2016

Singh, Sobhit; Garcia-Castro, A. C.; Valencia-Jaime, Irais
Physical Review B, Vol. 94, Issue 16
DOI: 10.1103/physrevb.94.161116

Nodal-link semimetals
journal, July 2017

Yan, Zhongbo; Bi, Ren; Shen, Huitao
Physical Review B, Vol. 96, Issue 4
DOI: 10.1103/physrevb.96.041103

Observation of chiral zero mode in inhomogeneous three-dimensional Weyl metamaterials
journal, January 2019

Jia, Hongwei; Zhang, Ruixing; Gao, Wenlong
Science, Vol. 363, Issue 6423
DOI: 10.1126/science.aau7707

Strong Intrinsic Spin Hall Effect in the TaAs Family of Weyl Semimetals
journal, September 2016

Sun, Yan; Zhang, Yang; Felser, Claudia
Physical Review Letters, Vol. 117, Issue 14
DOI: 10.1103/PhysRevLett.117.146403

Anatomy of topological surface states: Exact solutions from destructive interference on frustrated lattices
journal, August 2017

Kunst, Flore K.; Trescher, Maximilian; Bergholtz, Emil J.
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/physrevb.96.085443

A smeared quantum phase transition in disordered holography
journal, April 2018

Ammon, Martin; Baggioli, Matteo; Jiménez-Alba, Amadeo
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/jhep04(2018)068

Electronic cooling in Weyl and Dirac semimetals
journal, September 2015

Lundgren, Rex; Fiete, Gregory A.
Physical Review B, Vol. 92, Issue 12
DOI: 10.1103/physrevb.92.125139

Estimation of line dimensions in 3D direct laser writing lithography
journal, September 2016

Guney, M. G.; Fedder, G. K.
Journal of Micromechanics and Microengineering, Vol. 26, Issue 10
DOI: 10.1088/0960-1317/26/10/105011

Quantum oscillation studies of the topological semimetal candidate $ZrGe M (M = S, Se, Te)$
journal, May 2017

Hu, J.; Zhu, Y. L.; Graf, D.
Physical Review B, Vol. 95, Issue 20
DOI: 10.1103/physrevb.95.205134

${Ca}_{3} P_{2}$ and other topological semimetals with line nodes and drumhead surface states
journal, May 2016

Chan, Y. -H.; Chiu, Ching-Kai; Chou, M. Y.
Physical Review B, Vol. 93, Issue 20
DOI: 10.1103/physrevb.93.205132

Origin of the butterfly magnetoresistance in a Dirac nodal-line system
journal, September 2019

Chiu, Y. -C.; Chen, K. -W.; Schönemann, R.
Physical Review B, Vol. 100, Issue 12
DOI: 10.1103/physrevb.100.125112

Valley-based splitting of topologically protected helical waves in elastic plates
journal, July 2019

Miniaci, M.; Pal, R. K.; Manna, R.
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/physrevb.100.024304

Revealing the Topology of Quasicrystals with a Diffraction Experiment
journal, November 2017

Dareau, A.; Levy, E.; Aguilera, M. Bosch
Physical Review Letters, Vol. 119, Issue 21
DOI: 10.1103/physrevlett.119.215304

Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
journal, May 2018

Lu, Ming; Zhang, Xiao-Xiao
Journal of Physics: Condensed Matter, Vol. 30, Issue 21
DOI: 10.1088/1361-648x/aabbbb

Magnonic Weyl states in Cu 2 OSeO 3
journal, January 2020

Zhang, L. -C.; Onykiienko, Y. A.; Buhl, P. M.
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.013063

Weyl points in systems of multiple semiconductor-superconductor quantum dots
journal, July 2019

Stenger, John P. T.; Pekker, David
Physical Review B, Vol. 100, Issue 3
DOI: 10.1103/physrevb.100.035420

A Layered-Composite Nanometric Sb ₂ Te ₃ Material for Chiral Photonic Bandgap Engineering
journal, May 2018

Goi, Elena; Yue, Zengji; Cumming, Benjamin P.
physica status solidi (a), Vol. 215, Issue 14
DOI: 10.1002/pssa.201800152

Axial anomaly in multi-Weyl and triple-point semimetals
journal, June 2018

Lepori, Luca; Burrello, Michele; Guadagnini, Enore
Journal of High Energy Physics, Vol. 2018, Issue 6
DOI: 10.1007/jhep06(2018)110

Second-order photonic topological insulator with corner states
journal, November 2018

Xie, Bi-Ye; Wang, Hong-Fei; Wang, Hai-Xiao
Physical Review B, Vol. 98, Issue 20
DOI: 10.1103/physrevb.98.205147

Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas–van Alphen quantum oscillations
journal, July 2017

Hu, Jin; Tang, Zhijie; Liu, Jinyu
Physical Review B, Vol. 96, Issue 4
DOI: 10.1103/physrevb.96.045127

Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
journal, August 2016

Yu, Zhi-Ming; Yao, Yugui; Yang, Shengyuan A.
Physical Review Letters, Vol. 117, Issue 7
DOI: 10.1103/physrevlett.117.077202

Probing the Band Structure of Topological Silicon Photonic Lattices in the Visible Spectrum
journal, March 2019

Peng, Siying; Schilder, Nick J.; Ni, Xiang
Physical Review Letters, Vol. 122, Issue 11
DOI: 10.1103/physrevlett.122.117401

Collective modes in nodal line semimetals
journal, February 2016

Yan, Zhongbo; Huang, Peng-Wei; Wang, Zhong
Physical Review B, Vol. 93, Issue 8
DOI: 10.1103/physrevb.93.085138

$0 − π$ transitions in a Josephson junction of an irradiated Weyl semimetal
journal, May 2017

Khanna, Udit; Rao, Sumathi; Kundu, Arijit
Physical Review B, Vol. 95, Issue 20
DOI: 10.1103/physrevb.95.201115

Quantum simulation of exotic $PT$ -invariant topological nodal loop bands with ultracold atoms in an optical lattice
journal, April 2016

Zhang, Dan-Wei; Zhao, Y. X.; Liu, Rui-Bin
Physical Review A, Vol. 93, Issue 4
DOI: 10.1103/physreva.93.043617

Electrodynamics of tilted Dirac and Weyl materials: A unique platform for unusual surface plasmon polaritons
journal, November 2019

Jalali-Mola, Z.; Jafari, S. A.
Physical Review B, Vol. 100, Issue 20
DOI: 10.1103/physrevb.100.205413

Collective modes in multi-Weyl semimetals
journal, September 2016

Ahn, Seongjin; Hwang, E. H.; Min, Hongki
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep34023

Observation of photonic anomalous Floquet topological insulators
journal, January 2017

Maczewsky, Lukas J.; Zeuner, Julia M.; Nolte, Stefan
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/ncomms13756

Experimental observation of optical Weyl points and Fermi arc-like surface states
journal, March 2017

Noh, Jiho; Huang, Sheng; Leykam, Daniel
Nature Physics, Vol. 13, Issue 6
DOI: 10.1038/nphys4072

Speed-of-light pulses in a massless nonlinear Dirac equation
journal, August 2019

Cuevas-Maraver, Jesús; Kevrekidis, P. G.; Mertens, Franz G.
Physical Review E, Vol. 100, Issue 2
DOI: 10.1103/PhysRevE.100.022210

Topological semimetals with helicoid surface states
journal, June 2016

Fang, Chen; Lu, Ling; Liu, Junwei
Nature Physics, Vol. 12, Issue 10
DOI: 10.1038/nphys3782

Hybrid Weyl semimetal
journal, September 2016

Li, Fei-Ye; Luo, Xi; Dai, Xi
Physical Review B, Vol. 94, Issue 12
DOI: 10.1103/physrevb.94.121105

Quantum anomalies in nodal line semimetals
journal, April 2018

Burkov, A. A.
Physical Review B, Vol. 97, Issue 16
DOI: 10.1103/physrevb.97.165104

Unidirectional transport in electronic and photonic Weyl materials by Dirac mass engineering
journal, December 2015

Bi, Ren; Wang, Zhong
Physical Review B, Vol. 92, Issue 24
DOI: 10.1103/physrevb.92.241109

Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
journal, January 2017

Xu, Yong; Wang, Sheng-Tao; Duan, L. -M.
Physical Review Letters, Vol. 118, Issue 4
DOI: 10.1103/physrevlett.118.045701

Temperature-driven topological transition in 1T'-MoTe2
journal, January 2018

Berger, Ayelet Notis; Andrade, Erick; Kerelsky, Alexander
npj Quantum Materials, Vol. 3, Issue 1
DOI: 10.1038/s41535-017-0075-y

Robustness of the pumping charge to dynamic disorder
journal, November 2019

Wang, R.; Song, Z.
Physical Review B, Vol. 100, Issue 18
DOI: 10.1103/physrevb.100.184304

Weyl–Kondo semimetal in heavy-fermion systems
journal, December 2017

Lai, Hsin-Hua; Grefe, Sarah E.; Paschen, Silke
Proceedings of the National Academy of Sciences, Vol. 115, Issue 1
DOI: 10.1073/pnas.1715851115

Tunable topological semimetallic phases in Kondo lattice systems
journal, January 2019

Lu, Yen-Wen; Chou, Po-Hao; Chung, Chung-Hou
Physical Review B, Vol. 99, Issue 3
DOI: 10.1103/physrevb.99.035141

Odd Viscosity in the Quantum Critical Region of a Holographic Weyl Semimetal
journal, August 2016

Landsteiner, Karl; Liu, Yan; Sun, Ya-Wen
Physical Review Letters, Vol. 117, Issue 8
DOI: 10.1103/PhysRevLett.117.081604

Three-dimensional photonic Dirac points stabilized by point group symmetry
journal, June 2016

Wang, HaiXiao; Xu, Lin; Chen, HuanYang
Physical Review B, Vol. 93, Issue 23
DOI: 10.1103/physrevb.93.235155

Tunable ferromagnetic Weyl fermions from a hybrid nodal ring
journal, July 2019

Zheng, Baobing; Xia, Bowen; Wang, Rui
npj Computational Materials, Vol. 5, Issue 1
DOI: 10.1038/s41524-019-0214-z

Line nodes, Dirac points, and Lifshitz transition in two-dimensional nonsymmorphic photonic crystals
journal, August 2017

Lin, Jun Yu; Hu, Nai Chao; Chen, You Jian
Physical Review B, Vol. 96, Issue 7
DOI: 10.1103/physrevb.96.075438

Ideal Weyl points and helicoid surface states in artificial photonic crystal structures
journal, January 2018

Yang, Biao; Guo, Qinghua; Tremain, Ben
Science, Vol. 359, Issue 6379
DOI: 10.1126/science.aaq1221

Floquet topological insulators for sound
journal, June 2016

Fleury, Romain; Khanikaev, Alexander B.; Alù, Andrea
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms11744

Nexus networks in carbon honeycombs
journal, April 2018

Chen, Yuanping; Xie, Yuee; Gao, Yan
Physical Review Materials, Vol. 2, Issue 4
DOI: 10.1103/physrevmaterials.2.044205

Double-Weyl Phonons in Transition-Metal Monosilicides
journal, January 2018

Zhang, Tiantian; Song, Zhida; Alexandradinata, A.
Physical Review Letters, Vol. 120, Issue 1
DOI: 10.1103/PhysRevLett.120.016401

Theory of chiral edge state lasing in a two-dimensional topological system
journal, December 2019

Seclì, Matteo; Capone, Massimo; Carusotto, Iacopo
Physical Review Research, Vol. 1, Issue 3
DOI: 10.1103/physrevresearch.1.033148

Experimental realization of a Weyl exceptional ring
journal, June 2019

Cerjan, Alexander; Huang, Sheng; Wang, Mohan
Nature Photonics, Vol. 13, Issue 9
DOI: 10.1038/s41566-019-0453-z

Topological protection of two-photon quantum correlation on a photonic chip
journal, January 2019

Wang, Yao; Pang, Xiao-Ling; Lu, Yong-Heng
Optica, Vol. 6, Issue 8
DOI: 10.1364/optica.6.000955

Floquet engineering of exotic topological phases in systems of cold atoms
journal, August 2019

Liu, Hui; Xiong, Tian-Shi; Zhang, Wei
Physical Review A, Vol. 100, Issue 2
DOI: 10.1103/physreva.100.023622

Experimental Observation of Acoustic Weyl Points and Topological Surface States
journal, July 2018

Ge, Hao; Ni, Xu; Tian, Yuan
Physical Review Applied, Vol. 10, Issue 1
DOI: 10.1103/physrevapplied.10.014017

Three-dimensional all-dielectric photonic topological insulator
journal, December 2016

Slobozhanyuk, Alexey; Mousavi, S. Hossein; Ni, Xiang
Nature Photonics, Vol. 11, Issue 2
DOI: 10.1038/nphoton.2016.253

Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems
journal, October 2017

Xu, Yong; Duan, L. -M.
Physical Review B, Vol. 96, Issue 15
DOI: 10.1103/physrevb.96.155301

Hyperbolic Weyl Point in Reciprocal Chiral Metamaterials
journal, July 2016

Xiao, Meng; Lin, Qian; Fan, Shanhui
Physical Review Letters, Vol. 117, Issue 5
DOI: 10.1103/physrevlett.117.057401

Experimental discovery of a topological Weyl semimetal state in TaP
journal, November 2015

Xu, Su-Yang; Belopolski, Ilya; Sanchez, Daniel S.
Science Advances, Vol. 1, Issue 10
DOI: 10.1126/sciadv.1501092

Topological properties of the chiral magnetic effect in multi-Weyl semimetals
journal, August 2017

Hayata, Tomoya; Kikuchi, Yuta; Tanizaki, Yuya
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/physrevb.96.085112

Tunable Electromagnetic Flow Control in Valley Photonic Crystal Waveguides
journal, October 2018

Chen, Xiao-Dong; Shi, Fu-Long; Liu, Huan
Physical Review Applied, Vol. 10, Issue 4
DOI: 10.1103/physrevapplied.10.044002

Sound of Fermi arcs: a linearly dispersing gapless surface plasmon mode in undoped Weyl semimetals
journal, November 2019

Adinehvand, F.; Faraei, Z.; Farajollahpour, T.
Physical Review B, Vol. 100, Issue 19
DOI: 10.1103/physrevb.100.195408

Current-voltage characteristics of Weyl semimetal semiconducting devices, Veselago lenses, and hyperbolic Dirac phase
journal, June 2017

Hills, R. D. Y.; Kusmartseva, A.; Kusmartsev, F. V.
Physical Review B, Vol. 95, Issue 21
DOI: 10.1103/physrevb.95.214103

Three-dimensional Majorana fermions in chiral superconductors
journal, December 2016

Kozii, Vladyslav; Venderbos, Jörn W. F.; Fu, Liang
Science Advances, Vol. 2, Issue 12
DOI: 10.1126/sciadv.1601835

Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi
journal, November 2017

Chang, Guoqing; Xu, Su-Yang; Wieder, Benjamin J.
Physical Review Letters, Vol. 119, Issue 20
DOI: 10.1103/physrevlett.119.206401

Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals
journal, November 2019

Mukherjee, Dibya Kanti; Carpentier, David; Goerbig, Mark Oliver
Physical Review B, Vol. 100, Issue 19
DOI: 10.1103/physrevb.100.195412

A magnetic topological semimetal Sr1−yMn1−zSb2 (y, z < 0.1)
journal, July 2017

Liu, J. Y.; Hu, J.; Zhang, Q.
Nature Materials, Vol. 16, Issue 9
DOI: 10.1038/nmat4953

Synthetic Weyl points with various planar symmetries in phononic crystals
journal, November 2019

Chen, Tinggui; Chu, Yue; Jiao, Junrui
Journal of Applied Physics, Vol. 126, Issue 20
DOI: 10.1063/1.5116101

Anomalous Magneto-Transport Behavior in Transition Metal Pentatelluride HfTe ₅
journal, March 2017

Zhao, Ling-Xiao; Huang, Xiao-Chun; Long, Yu-Jia
Chinese Physics Letters, Vol. 34, Issue 3
DOI: 10.1088/0256-307x/34/3/037102

Chirality-Dependent Hall Effect in Weyl Semimetals
journal, October 2015

Yang, Shengyuan A.; Pan, Hui; Zhang, Fan
Physical Review Letters, Vol. 115, Issue 15
DOI: 10.1103/physrevlett.115.156603

Acoustic Landau quantization and quantum-Hall-like edge states
journal, March 2019

Wen, Xinhua; Qiu, Chunyin; Qi, Yajuan
Nature Physics, Vol. 15, Issue 4
DOI: 10.1038/s41567-019-0446-3

Probing the Berry curvature and Fermi arcs of a Weyl circuit
journal, January 2019

Lu, Yuehui; Jia, Ningyuan; Su, Lin
Physical Review B, Vol. 99, Issue 2
DOI: 10.1103/physrevb.99.020302

Topological nodal-line fermions in spin-orbit metal PbTaSe2
journal, February 2016

Bian, Guang; Chang, Tay-Rong; Sankar, Raman
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms10556

Nonlinear light generation in topological nanostructures
journal, December 2018

Kruk, Sergey; Poddubny, Alexander; Smirnova, Daria
Nature Nanotechnology, Vol. 14, Issue 2
DOI: 10.1038/s41565-018-0324-7

Experimental demonstration of acoustic semimetal with topologically charged nodal surface
journal, February 2020

Xiao, Meng; Ye, Liping; Qiu, Chunyin
Science Advances, Vol. 6, Issue 8
DOI: 10.1126/sciadv.aav2360

Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
journal, August 2015

Huang, Xiaochun; Zhao, Lingxiao; Long, Yujia
Physical Review X, Vol. 5, Issue 3
DOI: 10.1103/physrevx.5.031023

Weyl points of mechanical diamond
journal, January 2019

Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro
Physical Review B, Vol. 99, Issue 2
DOI: 10.1103/physrevb.99.024102

Nonlocal annihilation of Weyl fermions in correlated systems
journal, January 2020

Crippa, L.; Amaricci, A.; Wagner, N.
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.012023

Topolectrical-circuit realization of topological corner modes
journal, September 2018

Imhof, Stefan; Berger, Christian; Bayer, Florian
Nature Physics, Vol. 14, Issue 9
DOI: 10.1038/s41567-018-0246-1

Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states
journal, October 2016

Chen, Wen-Jie; Xiao, Meng; Chan, C. T.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13038

Acoustic topological insulator and robust one-way sound transport
journal, August 2016

He, Cheng; Ni, Xu; Ge, Hao
Nature Physics, Vol. 12, Issue 12
DOI: 10.1038/nphys3867

Topological protection from exceptional points in Weyl and nodal-line semimetals
journal, July 2017

González, J.; Molina, R. A.
Physical Review B, Vol. 96, Issue 4
DOI: 10.1103/physrevb.96.045437

Experimental Realization of Type-II Weyl Points and Fermi Arcs in Phononic Crystal
journal, March 2019

Xie, Boyang; Liu, Hui; Cheng, Hua
Physical Review Letters, Vol. 122, Issue 10
DOI: 10.1103/physrevlett.122.104302

Classification of topological quantum matter with symmetries
journal, August 2016

Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.
Reviews of Modern Physics, Vol. 88, Issue 3
DOI: 10.1103/revmodphys.88.035005

Dynamically Manipulating Topological Physics and Edge Modes in a Single Degenerate Optical Cavity
journal, February 2017

Zhou, Xiang-Fa; Luo, Xi-Wang; Wang, Su
Physical Review Letters, Vol. 118, Issue 8
DOI: 10.1103/PhysRevLett.118.083603

Magnetic and noncentrosymmetric Weyl fermion semimetals in the $R AlGe$ family of compounds ( $R = rare earth$ )
journal, January 2018

Chang, Guoqing; Singh, Bahadur; Xu, Su-Yang
Physical Review B, Vol. 97, Issue 4
DOI: 10.1103/physrevb.97.041104

Pseudo-electromagnetic fields in 3D topological semimetals
journal, November 2019

Ilan, Roni; Grushin, Adolfo G.; Pikulin, Dmitry I.
Nature Reviews Physics, Vol. 2, Issue 1
DOI: 10.1038/s42254-019-0121-8

Axionic charge-density wave in the Weyl semimetal (TaSe4)2I
journal, October 2019

Gooth, J.; Bradlyn, B.; Honnali, S.
Nature, Vol. 575, Issue 7782
DOI: 10.1038/s41586-019-1630-4

$P T$ -Symmetric Real Dirac Fermions and Semimetals
journal, February 2017

Zhao, Y. X.; Lu, Y.
Physical Review Letters, Vol. 118, Issue 5
DOI: 10.1103/physrevlett.118.056401

Engineering topological phases in the Luttinger semimetal $α$ -Sn
journal, May 2018

Zhang, Dongqin; Wang, Huaiqiang; Ruan, Jiawei
Physical Review B, Vol. 97, Issue 19
DOI: 10.1103/physrevb.97.195139

Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018

Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin
Reviews of Modern Physics, Vol. 90, Issue 1
DOI: 10.1103/revmodphys.90.015001

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
journal, September 2019

Wang, Hai-Xiao; Guo, Guang-Yu; Jiang, Jian-Hua
New Journal of Physics, Vol. 21, Issue 9
DOI: 10.1088/1367-2630/ab3f71

Acoustic Type-II Weyl Nodes from Stacking Dimerized Chains
journal, November 2016

Yang, Zhaoju; Zhang, Baile
Physical Review Letters, Vol. 117, Issue 22
DOI: 10.1103/physrevlett.117.224301

Photonic Dirac monopoles and skyrmions: spin-1 quantization [Invited]
journal, December 2018

Van Mechelen, Todd; Jacob, Zubin
Optical Materials Express, Vol. 9, Issue 1
DOI: 10.1364/ome.9.000095

Accidental degeneracy in photonic bands and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
journal, January 2016

Xu, Lin; Wang, Hai-Xiao; Xu, Ya-Dong
Optics Express, Vol. 24, Issue 16
DOI: 10.1364/OE.24.018059

Hourglass semimetals with nonsymmorphic symmetries in three dimensions
journal, August 2017

Wang, Luyang; Jian, Shao-Kai; Yao, Hong
Physical Review B, Vol. 96, Issue 7
DOI: 10.1103/physrevb.96.075110

Electronic transport properties of Weyl semimetals with strain-induced gauge fields
journal, January 2019

Xu, Zhonghui; Siu, Zhuobin; Kundu, Anirban
Journal of Physics D: Applied Physics, Vol. 52, Issue 12
DOI: 10.1088/1361-6463/aaf9f1

Nodal chain semimetal in geometrically frustrated systems
journal, March 2019

Xiao, Meng; Sun, Xiao-Qi; Fan, Shanhui
Physical Review B, Vol. 99, Issue 9
DOI: 10.1103/physrevb.99.094206

Multiple Weyl points and the sign change of their topological charges in woodpile photonic crystals
journal, March 2017

Chang, Ming-Li; Xiao, Meng; Chen, Wen-Jie
Physical Review B, Vol. 95, Issue 12
DOI: 10.1103/physrevb.95.125136

A silicon-on-insulator slab for topological valley transport
journal, February 2019

He, Xin-Tao; Liang, En-Tao; Yuan, Jia-Jun
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-08881-z

Breaking the barriers: advances in acoustic functional materials
journal, December 2017

Ge, Hao; Yang, Min; Ma, Chu
National Science Review, Vol. 5, Issue 2
DOI: 10.1093/nsr/nwx154

Axial-field-induced chiral channels in an acoustic Weyl system
journal, February 2019

Peri, Valerio; Serra-Garcia, Marc; Ilan, Roni
Nature Physics, Vol. 15, Issue 4
DOI: 10.1038/s41567-019-0415-x

Elastic phononic plates with first-order and second-order topological phases
journal, January 2020

Tong, Liang; Fan, Haiyan; Xia, Baizhan
Journal of Physics D: Applied Physics, Vol. 53, Issue 11
DOI: 10.1088/1361-6463/ab6055

Synthetic dimension in photonics
journal, January 2018

Yuan, Luqi; Lin, Qian; Xiao, Meng
Optica, Vol. 5, Issue 11
DOI: 10.1364/optica.5.001396

Ultrasonic nodal chains in topological granular metamaterials
journal, December 2019

Merkel, Aurélien; Christensen, Johan
Communications Physics, Vol. 2, Issue 1
DOI: 10.1038/s42005-019-0256-z

Universal phase transition and band structures for spinless nodal-line and Weyl semimetals
journal, September 2017

Okugawa, Ryo; Murakami, Shuichi
Physical Review B, Vol. 96, Issue 11
DOI: 10.1103/physrevb.96.115201

Nodal rings and drumhead surface states in phononic crystals
journal, April 2019

Deng, Weiyin; Lu, Jiuyang; Li, Feng
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-09820-8

Coexistent three-component and two-component Weyl phonons in TiS, ZrSe, and HfTe
journal, February 2018

Li, Jiangxu; Xie, Qing; Ullah, Sami
Physical Review B, Vol. 97, Issue 5
DOI: 10.1103/physrevb.97.054305

Topological photonic crystals with zero Berry curvature
journal, January 2018

Liu, Feng; Deng, Hai-Yao; Wakabayashi, Katsunori
Physical Review B, Vol. 97, Issue 3
DOI: 10.1103/physrevb.97.035442

Imbert-Fedorov shift in Weyl semimetals: Dependence on monopole charge and intervalley scattering
journal, September 2017

Wang, Luyang; Jian, Shao-Kai
Physical Review B, Vol. 96, Issue 11
DOI: 10.1103/physrevb.96.115448

Experimental discovery of nodal chains
journal, February 2018

Yan, Qinghui; Liu, Rongjuan; Yan, Zhongbo
Nature Physics, Vol. 14, Issue 5
DOI: 10.1038/s41567-017-0041-4

Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states
journal, November 2018

He, Cheng; Yu, Si-Yuan; Ge, Hao
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-07030-2

Weak-value amplification for Weyl-point separation in momentum space
journal, October 2018

Chen, Shizhen; Mi, Chengquan; Wu, Weijie
New Journal of Physics, Vol. 20, Issue 10
DOI: 10.1088/1367-2630/aae2d5

Topological transconductance quantization in a four-terminal Josephson junction
journal, February 2017

Eriksson, Erik; Riwar, Roman-Pascal; Houzet, Manuel
Physical Review B, Vol. 95, Issue 7
DOI: 10.1103/physrevb.95.075417

Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry
journal, February 2019

Jin, L.; Song, Z.
Physical Review B, Vol. 99, Issue 8
DOI: 10.1103/physrevb.99.081103

Weyl magnons in pyrochlore antiferromagnets with an all-in-all-out order
journal, March 2018

Jian, Shao-Kai; Nie, Wenxing
Physical Review B, Vol. 97, Issue 11
DOI: 10.1103/physrevb.97.115162

Nodal-chain network, intersecting nodal rings and triple points coexisting in nonsymmorphic Ba ₃ Si ₄
journal, January 2018

Cai, Jin; Xie, Yuee; Chang, Po-Yao
Physical Chemistry Chemical Physics, Vol. 20, Issue 32
DOI: 10.1039/c8cp02810a

Robust edge states in amorphous gyromagnetic photonic lattices
journal, September 2017

Mansha, Shampy; Chong, Y. D.
Physical Review B, Vol. 96, Issue 12
DOI: 10.1103/physrevb.96.121405

One-way helical electromagnetic wave propagation supported by magnetized plasma
journal, February 2016

Yang, Biao; Lawrence, Mark; Gao, Wenlong
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep21461

Metasurfaces Atop Metamaterials: Surface Morphology Induces Linear Dichroism in Gyroid Optical Metamaterials.
text, January 2019

Dolan, James; Dehmel, Raphael; Demetriadou, Angela
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.33701

Photoexcitation of electron wave packets in quantum spin Hall edge states: Effects of chiral anomaly from a localized electric pulse
journal, October 2016

Dolcini, Fabrizio; Iotti, Rita Claudia; Montorsi, Arianna
Physical Review B, Vol. 94, Issue 16
DOI: 10.1103/physrevb.94.165412

Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets
journal, December 2017

Li, Kangkang; Li, Chenyuan; Hu, Jiangping
Physical Review Letters, Vol. 119, Issue 24
DOI: 10.1103/PhysRevLett.119.247202

Advances in synthetic gauge fields for light through dynamic modulation
journal, April 2018

Hey, Daniel; Li, Enbang
Royal Society Open Science, Vol. 5, Issue 4
DOI: 10.1098/rsos.172447

Dirac and Weyl rings in three-dimensional cold-atom optical lattices
journal, June 2016

Xu, Yong; Zhang, Chuanwei
Physical Review A, Vol. 93, Issue 6
DOI: 10.1103/physreva.93.063606

Weyl solitons in three-dimensional optical lattices
journal, April 2018

Shang, Ce; Zheng, Yuanlin; Malomed, Boris A.
Physical Review A, Vol. 97, Issue 4
DOI: 10.1103/physreva.97.043602

Transport through Andreev bound states in a Weyl semimetal quantum dot
journal, October 2017

Mukherjee, Dibya Kanti; Rao, Sumathi; Kundu, Arijit
Physical Review B, Vol. 96, Issue 16
DOI: 10.1103/physrevb.96.161408

A family of all sp ² -bonded carbon allotropes of topological semimetals with strain-robust nodal-lines
journal, January 2020

Zhao, Zhiqiang; Zhang, Zhuhua; Guo, Wanlin
Journal of Materials Chemistry C, Vol. 8, Issue 5
DOI: 10.1039/c9tc05470g

Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
journal, August 2016

Yan, Zhongbo; Wang, Zhong
Physical Review Letters, Vol. 117, Issue 8
DOI: 10.1103/physrevlett.117.087402

Continuously tunable topological pump in high-dimensional cold atomic gases
journal, October 2018

Yang, Yan-Bin; Duan, L. -M.; Xu, Yong
Physical Review B, Vol. 98, Issue 16
DOI: 10.1103/physrevb.98.165128

Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
journal, September 2017

Zhu, Yan-Qing; Zhang, Dan-Wei; Yan, Hui
Physical Review A, Vol. 96, Issue 3
DOI: 10.1103/physreva.96.033634

Preparation of Macroscopic Block‐Copolymer‐Based Gyroidal Mesoscale Single Crystals by Solvent Evaporation
journal, August 2019

Susca, Ethan M.; Beaucage, Peter A.; Thedford, R. Paxton
Advanced Materials, Vol. 31, Issue 40
DOI: 10.1002/adma.201902565

Applications of Topological Photonics in Integrated Photonic Devices
journal, August 2017

Wu, You; Li, Chong; Hu, Xiaoyong
Advanced Optical Materials, Vol. 5, Issue 18
DOI: 10.1002/adom.201700357

Observation of Type I Photonic Weyl Points in Optical Frequencies
journal, December 2017

Goi, Elena; Yue, Zengji; Cumming, Benjamin P.
Laser & Photonics Reviews, Vol. 12, Issue 2
DOI: 10.1002/lpor.201700271

The strange topology that is reshaping physics
journal, July 2017

Castelvecchi, Davide
Nature, Vol. 547, Issue 7663
DOI: 10.1038/547272a

Photonic topological boundary pumping as a probe of 4D quantum Hall physics
journal, January 2018

Zilberberg, Oded; Huang, Sheng; Guglielmon, Jonathan
Nature, Vol. 553, Issue 7686
DOI: 10.1038/nature25011

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension
journal, December 2016

Lin, Qian; Xiao, Meng; Yuan, Luqi
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13731

Experimental measurement of the Berry curvature from anomalous transport
journal, February 2017

Wimmer, Martin; Price, Hannah M.; Carusotto, Iacopo
Nature Physics, Vol. 13, Issue 6
DOI: 10.1038/nphys4050

Direct optical detection of Weyl fermion chirality in a topological semimetal
journal, May 2017

Ma, Qiong; Xu, Su-Yang; Chan, Ching-Kit
Nature Physics, Vol. 13, Issue 9
DOI: 10.1038/nphys4146

Photonic Hall effect and helical Zitterbewegung in a synthetic Weyl system
journal, May 2019

Ye, Weimin; Liu, Yachao; Liu, Jianlong
Light: Science & Applications, Vol. 8, Issue 1
DOI: 10.1038/s41377-019-0160-z

Observation of a topological nodal surface and its surface-state arcs in an artificial acoustic crystal
journal, November 2019

Yang, Yihao; Xia, Jian-ping; Sun, Hong-xiang
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-13258-3

Topological quantum properties of chiral crystals
journal, October 2018

Chang, Guoqing; Wieder, Benjamin J.; Schindler, Frank
Nature Materials, Vol. 17, Issue 11
DOI: 10.1038/s41563-018-0169-3

Topological spin excitations in a three-dimensional antiferromagnet
journal, July 2018

Yao, Weiliang; Li, Chenyuan; Wang, Lichen
Nature Physics, Vol. 14, Issue 10
DOI: 10.1038/s41567-018-0213-x

Demonstration of Hopf-link semimetal bands with superconducting circuits
journal, April 2018

Tan, Xinsheng; Li, Mengmeng; Li, Danyu
Applied Physics Letters, Vol. 112, Issue 17
DOI: 10.1063/1.5029439

Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
journal, August 2016

Lucas, Andrew; Davison, Richard A.; Sachdev, Subir
Proceedings of the National Academy of Sciences, Vol. 113, Issue 34
DOI: 10.1073/pnas.1608881113

Magnetic field induced metal–insulator transition in single nodal ring topological semimetals
journal, June 2018

Yao, Haibo; Zhu, Mingfeng; Jiang, Liwei
Journal of Physics: Condensed Matter, Vol. 30, Issue 28
DOI: 10.1088/1361-648x/aac793

Classification of gapless $Z_{2}$ spin liquids in three-dimensional Kitaev models
journal, February 2016

O'Brien, Kevin; Hermanns, Maria; Trebst, Simon
Physical Review B, Vol. 93, Issue 8
DOI: 10.1103/physrevb.93.085101

Theory of photoinduced Floquet Weyl semimetal phases
journal, December 2016

Zhang, Xiao-Xiao; Ong, Tze Tzen; Nagaosa, Naoto
Physical Review B, Vol. 94, Issue 23
DOI: 10.1103/physrevb.94.235137

Josephson effect in a Weyl SNS junction
journal, February 2017

Madsen, Kevin A.; Bergholtz, Emil J.; Brouwer, Piet W.
Physical Review B, Vol. 95, Issue 6
DOI: 10.1103/physrevb.95.064511

Magneto-optical conductivity of double Weyl semimetals
journal, August 2017

Sun, Yong; Wang, An-Min
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/physrevb.96.085147

Nodal-knot semimetals
journal, November 2017

Bi, Ren; Yan, Zhongbo; Lu, Ling
Physical Review B, Vol. 96, Issue 20
DOI: 10.1103/physrevb.96.201305

Nodal-line semimetals from Weyl superlattices
journal, December 2017

Behrends, Jan; Rhim, Jun-Won; Liu, Shang
Physical Review B, Vol. 96, Issue 24
DOI: 10.1103/physrevb.96.245101

Lattice models with exactly solvable topological hinge and corner states
journal, June 2018

Kunst, Flore K.; van Miert, Guido; Bergholtz, Emil J.
Physical Review B, Vol. 97, Issue 24
DOI: 10.1103/physrevb.97.241405

Observation of subkelvin superconductivity in ${Cd}_{3} {As}_{2}$ thin films
journal, March 2019

Suslov, A. V.; Davydov, A. B.; Oveshnikov, L. N.
Physical Review B, Vol. 99, Issue 9
DOI: 10.1103/physrevb.99.094512

Phononic Weyl points and one-way topologically protected nontrivial phononic surface arc states in noncentrosymmetric WC-type materials
journal, May 2019

Xie, Qing; Li, Jiangxu; Ullah, Sami
Physical Review B, Vol. 99, Issue 17
DOI: 10.1103/physrevb.99.174306

Disorder and Metal-Insulator Transitions in Weyl Semimetals
journal, December 2015

Chen, Chui-Zhen; Song, Juntao; Jiang, Hua
Physical Review Letters, Vol. 115, Issue 24
DOI: 10.1103/physrevlett.115.246603

Type-II Symmetry-Protected Topological Dirac Semimetals
journal, July 2017

Chang, Tay-Rong; Xu, Su-Yang; Sanchez, Daniel S.
Physical Review Letters, Vol. 119, Issue 2
DOI: 10.1103/physrevlett.119.026404

Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
journal, June 2018

Hu, Haiping; Hou, Junpeng; Zhang, Fan
Physical Review Letters, Vol. 120, Issue 24
DOI: 10.1103/physrevlett.120.240401

Experimental Discovery of Weyl Semimetal TaAs
journal, July 2015

Lv, B. Q.; Weng, H. M.; Fu, B. B.
Physical Review X, Vol. 5, Issue 3
DOI: 10.1103/physrevx.5.031013

Topological Nonsymmorphic Metals from Band Inversion
journal, December 2016

Muechler, Lukas; Alexandradinata, A.; Neupert, Titus
Physical Review X, Vol. 6, Issue 4
DOI: 10.1103/physrevx.6.041069

Topological photonics
journal, March 2019

Ozawa, Tomoki; Price, Hannah M.; Amo, Alberto
Reviews of Modern Physics, Vol. 91, Issue 1
DOI: 10.1103/revmodphys.91.015006

Photonic Weyl degeneracies in magnetized plasma
journal, August 2016

Gao, Wenlong; Yang, Biao; Lawrence, Mark
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms12435

Topological magnetoplasmon
journal, November 2016

Jin, Dafei; Lu, Ling; Wang, Zhong
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13486

Observation of Weyl nodes in TaAs
journal, August 2015

Lv, B. Q.; Xu, N.; Weng, H. M.
Nature Physics, Vol. 11, Issue 9
DOI: 10.1038/nphys3426

Observation of topological valley transport of sound in sonic crystals
journal, December 2016

Lu, Jiuyang; Qiu, Chunyin; Ye, Liping
Nature Physics, Vol. 13, Issue 4
DOI: 10.1038/nphys3999

Weyl points and Fermi arcs in a chiral phononic crystal
journal, October 2017

Li, Feng; Huang, Xueqin; Lu, Jiuyang
Nature Physics, Vol. 14, Issue 1
DOI: 10.1038/nphys4275

Elastic pseudospin transport for integratable topological phononic circuits
journal, August 2018

Yu, Si-Yuan; He, Cheng; Wang, Zhen
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-05461-5

Photonic crystal for graphene plasmons
journal, October 2019

Xiong, L.; Forsythe, C.; Jung, M.
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-12778-2

Topological triply degenerate point with double Fermi arcs
journal, April 2019

Yang, Yihao; Sun, Hong-xiang; Xia, Jian-ping
Nature Physics, Vol. 15, Issue 7
DOI: 10.1038/s41567-019-0502-z

Magnetic properties and evidence of current-induced perpendicular field in epitaxial ferrimagnetic Mn ₄ N (002) film mixed with (111) phase
journal, October 2017

Wang, G. L.; Wu, S. X.; Hu, P.
Journal of Applied Physics, Vol. 122, Issue 13
DOI: 10.1063/1.5006449

Design triple points, nexus points, and related topological phases by stacking monolayers
journal, August 2019

Xie, Yuee; Gong, Cheng; Zhou, Jun
Applied Physics Letters, Vol. 115, Issue 7
DOI: 10.1063/1.5111061

Soft self-assembly of Weyl materials for light and sound
journal, April 2018

Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun
Proceedings of the National Academy of Sciences, Vol. 115, Issue 16
DOI: 10.1073/pnas.1720828115

Where the Weyl Things Are
journal, September 2015

Vishwanath, Ashvin
Physics, Vol. 8
DOI: 10.1103/physics.8.84

Exceptional links and twisted Fermi ribbons in non-Hermitian systems
journal, October 2018

Carlström, Johan; Bergholtz, Emil J.
Physical Review A, Vol. 98, Issue 4
DOI: 10.1103/physreva.98.042114

Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
journal, December 2015

Hosseini, Mir Vahid; Askari, Mehdi
Physical Review B, Vol. 92, Issue 22
DOI: 10.1103/physrevb.92.224435

Topological nodal points in two coupled Su-Schrieffer-Heeger chains
journal, September 2017

Li, C.; Lin, S.; Zhang, G.
Physical Review B, Vol. 96, Issue 12
DOI: 10.1103/physrevb.96.125418

Fermi arc reconstruction at junctions between Weyl semimetals
journal, February 2018

Dwivedi, Vatsal
Physical Review B, Vol. 97, Issue 6
DOI: 10.1103/physrevb.97.064201

Elastic Gauge Fields in Weyl Semimetals
journal, October 2015

Cortijo, Alberto; Ferreirós, Yago; Landsteiner, Karl
Physical Review Letters, Vol. 115, Issue 17
DOI: 10.1103/physrevlett.115.177202

Acoustic metamaterials: From local resonances to broad horizons
journal, February 2016

Ma, Guancong; Sheng, Ping
Science Advances, Vol. 2, Issue 2
DOI: 10.1126/sciadv.1501595

A novel artificial condensed matter lattice and a new platform for one-dimensional topological phases
journal, March 2017

Belopolski, Ilya; Xu, Su-Yang; Koirala, Nikesh
Science Advances, Vol. 3, Issue 3
DOI: 10.1126/sciadv.1501692

Discovery of Lorentz-violating type II Weyl fermions in LaAlGe
journal, June 2017

Xu, Su-Yang; Alidoust, Nasser; Chang, Guoqing
Science Advances, Vol. 3, Issue 6
DOI: 10.1126/sciadv.1603266

Type-III and IV interacting Weyl points
journal, March 2017

Nissinen, J.; Volovik, G. E.
JETP Letters, Vol. 105, Issue 7
DOI: 10.1134/s0021364017070013

Weyl systems: anomalous transport normally explained
journal, August 2019

Morawetz, Klaus
The European Physical Journal B, Vol. 92, Issue 8
DOI: 10.1140/epjb/e2019-90514-3

Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
conference, January 2017

Mansha, Shampy; Chong, Y. D.
CLEO: Applications and Technology, Conference on Lasers and Electro-Optics
DOI: 10.1364/cleo_at.2017.jtu5a.41

Quantum Topological Boundary States in Quasi‐Crystals
journal, October 2019

Wang, Yao; Lu, Yong‐Heng; Gao, Jun
Advanced Materials, Vol. 31, Issue 49
DOI: 10.1002/adma.201905624

Realization of a three-dimensional photonic topological insulator
journal, January 2019

Yang, Yihao; Gao, Zhen; Xue, Haoran
Nature, Vol. 565, Issue 7741
DOI: 10.1038/s41586-018-0829-0

Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond
journal, June 2019

Cohen, Eliahu; Larocque, Hugo; Bouchard, Frédéric
Nature Reviews Physics, Vol. 1, Issue 7
DOI: 10.1038/s42254-019-0071-1

Fabry–Perot interferometry in Weyl semi-metals
journal, December 2018

Mukherjee, Dibya Kanti; Rao, Sumathi; Das, Sourin
Journal of Physics: Condensed Matter, Vol. 31, Issue 4
DOI: 10.1088/1361-648x/aaf0d0

The growth and band structure of a graphene-encapsulated two-dimensional nodal line semimetal: Cu ₂ Si
journal, February 2019

Roth, S.; Gatti, G.; Crepaldi, A.
Electronic Structure, Vol. 1, Issue 1
DOI: 10.1088/2516-1075/ab02a3

$Z_{2}$ topological quantum paramagnet on a honeycomb bilayer
journal, July 2019

Joshi, Darshan G.; Schnyder, Andreas P.
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/physrevb.100.020407

Giant planar Hall effect in topological metals
journal, July 2017

Burkov, A. A.
Physical Review B, Vol. 96, Issue 4
DOI: 10.1103/physrevb.96.041110

Quantum oscillations in nodal line systems
journal, April 2018

Yang, Hui; Moessner, Roderich; Lim, Lih-King
Physical Review B, Vol. 97, Issue 16
DOI: 10.1103/physrevb.97.165118

Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
journal, February 2016

Bandres, Miguel A.; Rechtsman, Mikael C.; Segev, Mordechai
Physical Review X, Vol. 6, Issue 1
DOI: 10.1103/physrevx.6.011016

Optical Interface States Protected by Synthetic Weyl Points
journal, August 2017

Wang, Qiang; Xiao, Meng; Liu, Hui
Physical Review X, Vol. 7, Issue 3
DOI: 10.1103/physrevx.7.031032

Experimental discovery of Weyl semimetal TaAs
text, January 2015

Lv, B. Q.; Weng, H. M.; Fu, B. B.
arXiv
DOI: 10.48550/arxiv.1502.04684

Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
text, January 2015

Huang, Xiaochun; Zhao, Lingxiao; Long, Yujia
arXiv
DOI: 10.48550/arxiv.1503.01304

Observation of Weyl nodes in TaAs
text, January 2015

Lv, B. Q.; Xu, N.; Weng, H. M.
arXiv
DOI: 10.48550/arxiv.1503.09188

Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
text, January 2016

Zhang, Dan-Wei; Zhao, Y. X.; Liu, Rui-Bin
arXiv
DOI: 10.48550/arxiv.1601.00371

Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
text, January 2016

Zhang, Chenglong; Xu, Su-Yang; Belopolski, Ilya
arXiv
DOI: 10.48550/arxiv.1601.04208

Acoustic type-II Weyl nodes from stacking dimerized chains
text, January 2016

Yang, Zhaoju; Zhang, Baile
arXiv
DOI: 10.48550/arxiv.1601.07966

Topological Semimetals Predicted from First-principles Calculations
text, January 2016

Weng, Hongming; Dai, Xi; Fang, Zhong
arXiv
DOI: 10.48550/arxiv.1603.04744

Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
text, January 2016

Weng, Hongming; Fang, Chen; Fang, Zhong
arXiv
DOI: 10.48550/arxiv.1604.08467

Pseudospin Vortex Ring with a Nodal Line in Three Dimensions
text, January 2016

Lim, Lih-King; Moessner, Roderich
arXiv
DOI: 10.48550/arxiv.1606.00982

Type-III and IV interacting Weyl points
text, January 2017

Nissinen, J.; Volovik, G. E.
arXiv
DOI: 10.48550/arxiv.1702.04624

A novel artificial condensed matter lattice and a new platform for one-dimensional topological phases
text, January 2017

Belopolski, Ilya; Xu, Su-Yang; Koirala, Nikesh
arXiv
DOI: 10.48550/arxiv.1703.04537

Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
text, January 2017

Zhou, Xiang-Fa; Luo, Xi-Wang; Wang, Su
arXiv
DOI: 10.48550/arxiv.1703.05924

Dirac and nodal line magnons in three-dimensional antiferromagnets
text, January 2017

Li, Kangkang; Li, Chenyuan; Hu, Jiangping
arXiv
DOI: 10.48550/arxiv.1703.08545

Weyl and Dirac Semimetals in Three Dimensional Solids
text, January 2017

Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin
arXiv
DOI: 10.48550/arxiv.1705.01111

Gapless Symmetry Protected Topological Order
text, January 2017

Scaffidi, Thomas; Parker, Daniel E.; Vasseur, Romain
arXiv
DOI: 10.48550/arxiv.1705.01557

Double-Weyl phonons in transition-metal monosilicides
text, January 2017

Zhang, Tiantian; Song, Zhida; Alexandradinata, A.
arXiv
DOI: 10.48550/arxiv.1705.07244

Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
text, January 2017

Hu, Haiping; Hou, Junpeng; Zhang, Fan
arXiv
DOI: 10.48550/arxiv.1709.04964

Symmetry protected topological phases characterized by isolated exceptional points
text, January 2017

Lin, S.; Jin, L.; Song, Z.
arXiv
DOI: 10.48550/arxiv.1712.03814

Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
preprint, January 2018

Hey, Daniel; Li, Enbang
arXiv
DOI: 10.48550/arxiv.1803.01977

Nodal-chain network, intersecting nodal rings and triple points coexisting in nonsymmorphic Ba3Si4
text, January 2018

Cai, Jin; Xie, Yuee; Chang, Po-Yao
arXiv
DOI: 10.48550/arxiv.1805.01099

Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
text, January 2018

Lu, Yuehui; Jia, Ningyuan; Su, Lin
arXiv
DOI: 10.48550/arxiv.1807.05243

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
text, January 2019

Wang, Hai-Xiao; Guo, Guang-Yu; Jiang, Jian-Hua
arXiv
DOI: 10.48550/arxiv.1902.10401

Weyl points in systems of multiple semiconductor-superconductor quantum dots
text, January 2019

Stenger, John P. T.; Pekker, David
arXiv
DOI: 10.48550/arxiv.1904.09158

Robustness of the pumping charge to dynamic disorder
text, January 2019

Wang, R.; Song, Z.
arXiv
DOI: 10.48550/arxiv.1905.12490

Design triple points, nexus points and related topological phases by stacking monolayers
text, January 2019

Xie, Yuee; Gong, Cheng; Zhou, Jun
arXiv
DOI: 10.48550/arxiv.1908.09467

Nexus fermions in topological symmorphic crystalline metals
text, January 2017

Chang, Guoqing; Xu, Su-Yang; Huang, Shin-Ming
Nature Publishing Group
DOI: 10.5167/uzh-141674

Topological quantum properties of chiral crystals
text, January 2018

Chang, Guoqing; Wieder, Benjamin J.; Schindler, Frank
Nature Publishing Group
DOI: 10.5167/uzh-158525

Figures / Tables found in this record:

FIG. 1 (p. 2)

FIG. 2 (p. 3)

FIG. 3 (p. 4)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Probing the Berry curvature and Fermi arcs of a Weyl circuit

Journal Article Lu, Yuehui ; Jia, Ningyuan ; Su, Lin ; ... - Physical Review B

The Weyl particle is the massless fermionic cousin of the photon. While no fundamental Weyl particles have been identified, they arise in condensed matter and metamaterial systems, where their spinor nature imposes topological constraints on low-energy dispersion and surface properties. Here we demonstrate a topological circuit with Weyl dispersion at low momentum, realizing a 3D lattice that behaves as a half-flux Hofstadter model in all principal planes. The circuit platform provides access to the complete complex-valued spin texture of all bulk and surface states, thereby revealing not only the presence of Weyl points and the Fermi arcs that connect theirmore »« less
Cited by 24
https://doi.org/10.1103/physrevb.99.020302

Full Text Available
Weyl points and line nodes in gyroid photonic crystals

Journal Article Lu, Ling ; Fu, Liang ; Joannopoulos, John D. ; ... - Nature Photonics

Weyl points and line nodes are three-dimensional linear point and line degeneracies between two bands. In contrast to two-dimensional Dirac points, which are their lower-dimensional analogues, Weyl points are stable in momentum space, and the associated surface states are predicted to be topologically non-trivial. However, Weyl points are yet to be discovered in nature. We report photonic crystals based on double-gyroid structures, exhibiting frequency-isolated Weyl points with complete phase diagrams by breaking the parity and time-reversal symmetries. Gapless surface dispersions associated with non-zero Chern numbers are demonstrated. Line nodes are also found in similar geometries, the associated surface states formingmore »« less
Cited by 217
https://doi.org/10.1038/nphoton.2013.42

Full Text Available
Topological nodal line semimetals with and without spin-orbital coupling

Journal Article Fang, Chen ; Chen, Yige ; Kee, Hae -Young ; ... - Physical Review. B, Condensed Matter and Materials Physics

Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines inmore »« less
Cited by 132
https://doi.org/10.1103/physrevb.92.081201

Full Text Available
Observation of Quadratic (Charge-2) Weyl Point Splitting in Near-Infrared Photonic Crystals

Journal Article Jörg, Christina ; Vaidya, Sachin ; Noh, Jiho ; ... - Laser & Photonics Reviews

Weyl points are point degeneracies that occur in momentum space of 3D periodic materials and are associated with a quantized topological charge. Here, the splitting of a quadratic (charge-2) Weyl point into two linear (charge-1) Weyl points in a 3D micro-printed photonic crystal is observed experimentally via Fourier-transform infrared spectroscopy. Using a theoretical analysis rooted in symmetry arguments, it is shown that this splitting occurs along high-symmetry directions in the Brillouin zone. This micro-scale observation and control of Weyl points is important for realizing robust topological devices in the near-infrared.
https://doi.org/10.1002/lpor.202100452

Full Text Available
Topological semimetals with helicoid surface states

Journal Article Fang, Chen ; Lu, Ling ; Liu, Junwei ; ... - Nature Physics

We show here that the surface dispersions of topological semimetals map to helicoidal structures, where the bulk nodal points project to the branch points of the helicoids whose equal-energy contours are Fermi arcs. This mapping is demonstrated in the recently discovered Weyl semimetals and leads us to predict new types of topological semimetals, whose surface states are represented by double- and quad-helicoid surfaces. Each helicoid or multi-helicoid is shown to be the non-compact Riemann surface representing a multi-valued holomorphic function (generating function). The intersection of multiple helicoids, or the branch cut of the generating function, appears on high-symmetry lines inmore »« less
Cited by 60
https://doi.org/10.1038/nphys3782

Full Text Available

Similar Records

Title: Experimental observation of Weyl points

Abstract

Citation Formats

Figures / Tables:

Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods journal, July 1994

Photonic band structure: The face-centered-cubic case employing nonspherical atoms journal, October 1991

Charge Transport in Weyl Semimetals journal, January 2012

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates journal, August 2011

A Bicontinuous Double Gyroid Hybrid Solar Cell journal, August 2009

Electromagnetic characterization of millimetre-scale replicas of the gyroid photonic crystal found in the butterfly Parides sesostris journal, February 2012

Elektron und Gravitation. I journal, May 1929

Weyl semimetals from noncentrosymmetric topological insulators journal, October 2014

Topological photonics journal, October 2014

Measurement of photonic band structure in a two-dimensional periodic dielectric array journal, March 1992

Recent developments in transport phenomena in Weyl semimetals journal, November 2013

Optical Broadband Angular Selectivity journal, March 2014

Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point journal, January 2014

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal, January 2014

Miniature chiral beamsplitter based on gyroid photonic crystals journal, September 2013

Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals journal, October 2014

Accidental Degeneracy in the Energy Bands of Crystals journal, August 1937

Fabrication and characterization of three-dimensional biomimetic chiral composites journal, January 2011

Observation of unidirectional backscattering-immune topological electromagnetic states journal, October 2009

Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal, October 2011

Dirac Semimetal in Three Dimensions journal, April 2012

Prediction of a Weyl semimetal in Hg 1 − x − y Cd x Mn y Te journal, February 2014

Photonic Floquet topological insulators journal, April 2013

Imaging topological edge states in silicon photonics journal, October 2013

Weyl Node and Spin Texture in Trigonal Tellurium and Selenium journal, May 2015

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal journal, November 1983

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal, September 2007

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal, May 2011

Topological Crystalline Insulators journal, March 2011

Direct creation of three-dimensional photonic crystals by a top-down approach journal, August 2009

Weyl points and line nodes in gyroid photonic crystals journal, March 2013

Weyl Semimetal in a Topological Insulator Multilayer journal, September 2011

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides journal, March 2015

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class journal, June 2015

Topological photonic crystal in three dimensions conference, January 2016

Topological Crystalline Insulators text, January 2010

Recent developments in transport phenomena in Weyl semimetals text, January 2013

Discovery of a new type of topological Weyl fermion semimetal state in MoxW1−xTe2 journal, December 2016

Nontrivial Chern Numbers in Three-Terminal Josephson Junctions journal, September 2017

Floquet Weyl Magnons in Three-Dimensional Quantum Magnets journal, July 2018

Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces journal, January 2019

Topological phase with a critical-type nodal line state in intermetallic CaPd journal, August 2018

Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene journal, February 2016

From graphene to fullerene: experiments with microwave photonic crystals journal, November 2018

Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations journal, January 2016

Nexus fermions in topological symmorphic crystalline metals journal, May 2017

Direct observation of topological surface-state arcs in photonic metamaterials journal, July 2017

Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics journal, April 2016

Dynamic current-current susceptibility in three-dimensional Dirac and Weyl semimetals journal, January 2018

Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals journal, February 2016

Diagnosis for Nonmagnetic Topological Semimetals in the Absence of Spin-Orbital Coupling journal, September 2018

Synthetic gauge flux and Weyl points in acoustic systems journal, September 2015

Observation of Weyl nodes and Fermi arcs in tantalum phosphide journal, March 2016

Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs journal, March 2016

Topological Maxwell Metal Bands in a Superconducting Qutrit journal, March 2018

Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect journal, April 2017

Type-I and type-II Weyl fermions, topological depletion, and universal subleading scaling across topological phase transitions journal, July 2017

Topological phonons and thermoelectricity in triple-point metals text, January 2018

RKKY interaction of magnetic impurities in multi-Weyl semimetals journal, October 2017

Weyl magnons in noncoplanar stacked kagome antiferromagnets journal, March 2018

Weyl magnons in breathing pyrochlore antiferromagnets journal, September 2016

Topological semimetals with triply degenerate nodal points in θ -phase tantalum nitride journal, June 2016

Topological Hopf and Chain Link Semimetal States and Their Application to Co 2 Mn G a journal, October 2017

Experimental Observation of P T Symmetry Breaking near Divergent Exceptional Points journal, November 2019

Pseudospin Vortex Ring with a Nodal Line in Three Dimensions journal, January 2017

Topological negative refraction of surface acoustic waves in a Weyl phononic crystal journal, August 2018

Observation of Half-Quantum Vortices in Topological Superfluid He 3 journal, December 2016

Induced superconductivity in Fermi arcs journal, July 2019

Centrosymmetric Li 2 NaN: a superior topological electronic material with critical-type triply degenerate nodal points journal, January 2019

Topological nodal line states in three-dimensional ball-and-stick sonic crystals journal, December 2019

Unified Theory of P T and C P Invariant Topological Metals and Nodal Superconductors journal, April 2016

Three Dimensional Photonic Dirac Points in Metamaterials journal, November 2017

Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids journal, December 2015

Topological acoustic polaritons: robust sound manipulation at the subwavelength scale journal, July 2017

Type-II Dirac photons journal, September 2017

Presence of exotic electronic surface states in LaBi and LaSb journal, October 2016

Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods
journal, July 1994

Photonic band structure: The face-centered-cubic case employing nonspherical atoms
journal, October 1991

Charge Transport in Weyl Semimetals
journal, January 2012

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
journal, August 2011

A Bicontinuous Double Gyroid Hybrid Solar Cell
journal, August 2009

Electromagnetic characterization of millimetre-scale replicas of the gyroid photonic crystal found in the butterfly Parides sesostris
journal, February 2012

Elektron und Gravitation. I
journal, May 1929

Weyl semimetals from noncentrosymmetric topological insulators
journal, October 2014

Topological photonics
journal, October 2014

Measurement of photonic band structure in a two-dimensional periodic dielectric array
journal, March 1992

Recent developments in transport phenomena in Weyl semimetals
journal, November 2013

Optical Broadband Angular Selectivity
journal, March 2014

Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point
journal, January 2014

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Miniature chiral beamsplitter based on gyroid photonic crystals
journal, September 2013

Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals
journal, October 2014

Accidental Degeneracy in the Energy Bands of Crystals
journal, August 1937

Fabrication and characterization of three-dimensional biomimetic chiral composites
journal, January 2011

Observation of unidirectional backscattering-immune topological electromagnetic states
journal, October 2009

Chern Semimetal and the Quantized Anomalous Hall Effect in ${HgCr}_{2} {Se}_{4}$
journal, October 2011

Dirac Semimetal in Three Dimensions
journal, April 2012

Prediction of a Weyl semimetal in ${Hg}_{1 - x - y}$ ${Cd}_{x}$ ${Mn}_{y}$ Te
journal, February 2014

Photonic Floquet topological insulators
journal, April 2013

Imaging topological edge states in silicon photonics
journal, October 2013

Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
journal, May 2015

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Topological Crystalline Insulators
journal, March 2011

Direct creation of three-dimensional photonic crystals by a top-down approach
journal, August 2009

Weyl points and line nodes in gyroid photonic crystals
journal, March 2013

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015

Topological photonic crystal in three dimensions
conference, January 2016

Topological Crystalline Insulators
text, January 2010

Recent developments in transport phenomena in Weyl semimetals
text, January 2013

Discovery of a new type of topological Weyl fermion semimetal state in MoxW1−xTe2
journal, December 2016

Nontrivial Chern Numbers in Three-Terminal Josephson Junctions
journal, September 2017

Floquet Weyl Magnons in Three-Dimensional Quantum Magnets
journal, July 2018

Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
journal, January 2019

Topological phase with a critical-type nodal line state in intermetallic CaPd
journal, August 2018

Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
journal, February 2016

From graphene to fullerene: experiments with microwave photonic crystals
journal, November 2018

Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
journal, January 2016

Nexus fermions in topological symmorphic crystalline metals
journal, May 2017

Direct observation of topological surface-state arcs in photonic metamaterials
journal, July 2017

Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics
journal, April 2016

Dynamic current-current susceptibility in three-dimensional Dirac and Weyl semimetals
journal, January 2018

Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals
journal, February 2016

Diagnosis for Nonmagnetic Topological Semimetals in the Absence of Spin-Orbital Coupling
journal, September 2018

Synthetic gauge flux and Weyl points in acoustic systems
journal, September 2015

Observation of Weyl nodes and Fermi arcs in tantalum phosphide
journal, March 2016

Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs
journal, March 2016

Topological Maxwell Metal Bands in a Superconducting Qutrit
journal, March 2018

Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
journal, April 2017

Type-I and type-II Weyl fermions, topological depletion, and universal subleading scaling across topological phase transitions
journal, July 2017

Topological phonons and thermoelectricity in triple-point metals
text, January 2018

RKKY interaction of magnetic impurities in multi-Weyl semimetals
journal, October 2017

Weyl magnons in noncoplanar stacked kagome antiferromagnets
journal, March 2018

Weyl magnons in breathing pyrochlore antiferromagnets
journal, September 2016

Topological semimetals with triply degenerate nodal points in $θ$ -phase tantalum nitride
journal, June 2016

Topological Hopf and Chain Link Semimetal States and Their Application to ${Co}_{2} Mn G a$
journal, October 2017

Experimental Observation of $P T$ Symmetry Breaking near Divergent Exceptional Points
journal, November 2019

Pseudospin Vortex Ring with a Nodal Line in Three Dimensions
journal, January 2017

Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
journal, August 2018

Observation of Half-Quantum Vortices in Topological Superfluid ${}^{3}{He}$
journal, December 2016

Induced superconductivity in Fermi arcs
journal, July 2019

Centrosymmetric Li 2 NaN: a superior topological electronic material with critical-type triply degenerate nodal points
journal, January 2019

Topological nodal line states in three-dimensional ball-and-stick sonic crystals
journal, December 2019

Unified Theory of $P T$ and $C P$ Invariant Topological Metals and Nodal Superconductors
journal, April 2016

Three Dimensional Photonic Dirac Points in Metamaterials
journal, November 2017

Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
journal, December 2015

Topological acoustic polaritons: robust sound manipulation at the subwavelength scale
journal, July 2017

Type-II Dirac photons
journal, September 2017

Presence of exotic electronic surface states in LaBi and LaSb
journal, October 2016

Type-II Dirac Photons at Metasurfaces
journal, July 2018

Enhanced photonic spin Hall effect with subwavelength topological edge states: Enhanced photonic spin Hall effect with subwavelength topological edge states
journal, May 2016

Topological states in photonic systems
journal, June 2016

Prediction and control of spin polarization in a Weyl semimetallic phase of BiSb
journal, October 2016