Topological nodal line semimetals with and without spin-orbital coupling

Fang, Chen; Chen, Yige; Kee, Hae -Young; Fu, Liang

doi:10.1103/physrevb.92.081201

Title: Topological nodal line semimetals with and without spin-orbital coupling

Abstract

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 in the same symmetry class, each nodal line has a Z₂ monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.

Authors:

Fang, Chen ^[1]; Chen, Yige ^[2]; Kee, Hae -Young ^[2]; Fu, Liang ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of Toronto, Toronto, ON (Canada); Canadian Inst. for Advanced Research/Quantum Materials Program, Toronto, ON (Canada)

Publication Date:: Mon Aug 10 00:00:00 EDT 2015

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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

OSTI Identifier:: 1505795

Alternate Identifier(s):: OSTI ID: 1209840

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 8; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling.  United States: N. p., 2015. 
Web.  doi:10.1103/physrevb.92.081201.

Copy to clipboard


                    Fang, Chen, Chen, Yige, Kee, Hae -Young, & Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling.  United States.  https://doi.org/10.1103/physrevb.92.081201

Copy to clipboard


                    Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Mon .  
"Topological nodal line semimetals with and without spin-orbital coupling".  United States.  https://doi.org/10.1103/physrevb.92.081201.  https://www.osti.gov/servlets/purl/1505795.

Copy to clipboard


                    
@article{osti_1505795,

  title        = {Topological nodal line semimetals with and without spin-orbital coupling},

  author       = {Fang, Chen and Chen, Yige and Kee, Hae -Young and Fu, Liang},

  abstractNote = {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 in the same symmetry class, each nodal line has a Z2 monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.},

  doi          = {10.1103/physrevb.92.081201},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 8,

  volume       = 92,

  place        = {United States},

  year         = {Mon Aug 10 00:00:00 EDT 2015},

  month        = {Mon Aug 10 00:00:00 EDT 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/physrevb.92.081201

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 631 works

Citation information provided by
Web of Science

Figures / Tables:

FIG. 1: (a) A nontrivial Z₂ invariant (Berry’s phase of π ) of any loop in 3D BZ implies a nodal line (solid line) passing through the loop. (b) The 2D Z₂ invariant for a nodal line in 3D BZ defined on a sphere enclosing the line. (c) The evolutionmore »

All figures and tables (2 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Landau level quantization and almost flat modes in three-dimensional semimetals with nodal ring spectra
journal, July 2015

Rhim, Jun-Won; Kim, Yong Baek
Physical Review B, Vol. 92, Issue 4
DOI: 10.1103/PhysRevB.92.045126

Line of Dirac Nodes in Hyperhoneycomb Lattices
journal, July 2015

Mullen, Kieran; Uchoa, Bruno; Glatzhofer, Daniel T.
Physical Review Letters, Vol. 115, Issue 2
DOI: 10.1103/PhysRevLett.115.026403

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Xu, S. -Y.; Liu, C.; Kushwaha, S. K.
Science, Vol. 347, Issue 6219
DOI: 10.1126/science.1256742

Tunable line node semimetals
journal, September 2014

Phillips, Michael; Aji, Vivek
Physical Review B, Vol. 90, Issue 11
DOI: 10.1103/PhysRevB.90.115111

Topological nonsymmorphic crystalline insulators
journal, August 2014

Liu, Chao-Xing; Zhang, Rui-Xing; VanLeeuwen, Brian K.
Physical Review B, Vol. 90, Issue 8
DOI: 10.1103/PhysRevB.90.085304

Topological order and absence of band insulators at integer filling in non-symmorphic crystals
journal, April 2013

Parameswaran, Siddharth A.; Turner, Ari M.; Arovas, Daniel P.
Nature Physics, Vol. 9, Issue 5
DOI: 10.1038/nphys2600

Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
journal, May 2014

Neupane, Madhab; Xu, Su-Yang; Sankar, Raman
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms4786

Experimental observation of Weyl points
journal, July 2015

Lu, L.; Wang, Z.; Ye, D.
Science, Vol. 349, Issue 6248
DOI: 10.1126/science.aaa9273

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

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

Classification of reflection-symmetry-protected topological semimetals and nodal superconductors
journal, November 2014

Chiu, Ching-Kai; Schnyder, Andreas P.
Physical Review B, Vol. 90, Issue 20
DOI: 10.1103/PhysRevB.90.205136

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

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

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Xu, S. -Y.; Belopolski, I.; Alidoust, N.
Science, Vol. 349, Issue 6248
DOI: 10.1126/science.aaa9297

Topological node-line semimetal in three-dimensional graphene networks
journal, July 2015

Weng, Hongming; Liang, Yunye; Xu, Qiunan
Physical Review B, Vol. 92, Issue 4
DOI: 10.1103/PhysRevB.92.045108

Topological crystalline metal in orthorhombic perovskite iridates
journal, March 2015

Chen, Yige; Lu, Yuan-Ming; Kee, Hae-Young
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms7593

Dirac semimetal and topological phase transitions in $A_{3}$ Bi ( $A = Na$ , K, Rb)
journal, May 2012

Wang, Zhijun; Sun, Yan; Chen, Xing-Qiu
Physical Review B, Vol. 85, Issue 19
DOI: 10.1103/PhysRevB.85.195320

Topological nodal semimetals
journal, December 2011

Burkov, A. A.; Hook, M. D.; Balents, Leon
Physical Review B, Vol. 84, Issue 23
DOI: 10.1103/PhysRevB.84.235126

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

$Z_{2}$ topology in nonsymmorphic crystalline insulators: Möbius twist in surface states
journal, April 2015

Shiozaki, Ken; Sato, Masatoshi; Gomi, Kiyonori
Physical Review B, Vol. 91, Issue 15
DOI: 10.1103/PhysRevB.91.155120

Topological photonics
journal, October 2014

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

Chiral gauge field and axial anomaly in a Weyl semimetal
journal, June 2013

Liu, Chao-Xing; Ye, Peng; Qi, Xiao-Liang
Physical Review B, Vol. 87, Issue 23
DOI: 10.1103/PhysRevB.87.235306

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

Son, D. T.; Spivak, B. Z.
Physical Review B, Vol. 88, Issue 10
DOI: 10.1103/PhysRevB.88.104412

Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
journal, June 2012

Fang, Chen; Gilbert, Matthew J.; Dai, Xi
Physical Review Letters, Vol. 108, Issue 26
DOI: 10.1103/PhysRevLett.108.266802

New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
journal, April 2015

Fang, Chen; Fu, Liang
Physical Review B, Vol. 91, Issue 16
DOI: 10.1103/PhysRevB.91.161105

Quantum Transport Evidence for the Three-Dimensional Dirac Semimetal Phase in ${Cd}_{3} {As}_{2}$
journal, December 2014

He, L. P.; Hong, X. C.; Dong, J. K.
Physical Review Letters, Vol. 113, Issue 24
DOI: 10.1103/PhysRevLett.113.246402

Semimetal and Topological Insulator in Perovskite Iridates
journal, March 2012

Carter, Jean-Michel; Shankar, V. Vijay; Zeb, M. Ahsan
Physical Review B, Vol. 85, Issue 11
DOI: 10.1103/PhysRevB.85.115105

Dirac Line Nodes in Inversion-Symmetric Crystals
journal, July 2015

Kim, Youngkuk; Wieder, Benjamin J.; Kane, C. L.
Physical Review Letters, Vol. 115, Issue 3
DOI: 10.1103/PhysRevLett.115.036806

Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite ${Cu}_{3} PdN$
journal, July 2015

Yu, Rui; Weng, Hongming; Fang, Zhong
Physical Review Letters, Vol. 115, Issue 3
DOI: 10.1103/PhysRevLett.115.036807

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

A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014

Liu, Z. K.; Jiang, J.; Zhou, B.
Nature Materials, Vol. 13, Issue 7
DOI: 10.1038/nmat3990

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014

Jeon, Sangjun; Zhou, Brian B.; Gyenis, Andras
Nature Materials, Vol. 13, Issue 9
DOI: 10.1038/nmat4023

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

A new form of Ca ₃ P ₂ with a ring of Dirac nodes
journal, August 2015

Xie, Lilia S.; Schoop, Leslie M.; Seibel, Elizabeth M.
APL Materials, Vol. 3, Issue 8
DOI: 10.1063/1.4926545

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

Semimetal and Topological Insulator in Perovskite Iridates
text, January 2011

Carter, Jean-Michel; Shankar, V. Vijay; Zeb, M. Ahsan
arXiv
DOI: 10.48550/arxiv.1112.0015

Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
text, January 2013

Liu, Z. K.; Zhou, B.; Wang, Z. J.
arXiv
DOI: 10.48550/arxiv.1310.0391

Topological Crystalline Metal in Orthorhombic Perovskite Iridates
text, January 2014

Chen, Yige; Lu, Yuan-Ming; Kee, Hae-Young
arXiv
DOI: 10.48550/arxiv.1410.5830

Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
text, January 2015

Weng, Hongming; Fang, Chen; Fang, Zhong
arXiv
DOI: 10.48550/arxiv.1501.00060

Dirac Line Nodes in Inversion Symmetric Crystals
text, January 2015

Kim, Youngkuk; Wieder, Benjamin J.; Kane, C. L.
arXiv
DOI: 10.48550/arxiv.1504.03807

Microbial production of sabinene—a new terpene-based precursor of advanced biofuel
journal, January 2014

Zhang, Haibo; Liu, Qiang; Cao, Yujin
Microbial Cell Factories, Vol. 13, Issue 1
DOI: 10.1186/1475-2859-13-20

Works referencing / citing this record:

Two Topologically Distinct Dirac-Line Semimetal Phases and Topological Phase Transitions in Rhombohedrally Stacked Honeycomb Lattices
journal, January 2018

Hyart, T.; Ojajärvi, R.; Heikkilä, T. T.
Journal of Low Temperature Physics, Vol. 191, Issue 1-2
DOI: 10.1007/s10909-017-1846-3

Topological nodal line semimetals predicted from first-principles calculations
journal, June 2017

Yu, Rui; Fang, Zhong; Dai, Xi
Frontiers of Physics, Vol. 12, Issue 3
DOI: 10.1007/s11467-016-0630-1

Nodal-chain metals
journal, August 2016

Bzdušek, Tomáš; Wu, QuanSheng; Rüegg, Andreas
Nature, Vol. 538, Issue 7623
DOI: 10.1038/nature19099

Dirac cone protected by non-symmorphic symmetry and three-dimensional Dirac line node in ZrSiS
journal, May 2016

Schoop, Leslie M.; Ali, Mazhar N.; Straßer, Carola
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms11696

Topological Dirac nodal lines and surface charges in fcc alkaline earth metals
journal, January 2017

Hirayama, Motoaki; Okugawa, Ryo; Miyake, Takashi
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/ncomms14022

Thermoelectric quantum oscillations in ZrSiS
journal, May 2017

Matusiak, Marcin; Cooper, J. R.; Kaczorowski, Dariusz
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/ncomms15219

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

Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
journal, January 2018

Takane, Daichi; Nakayama, Kosuke; Souma, Seigo
npj Quantum Materials, Vol. 3, Issue 1
DOI: 10.1038/s41535-017-0074-z

Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal
journal, July 2018

Kim, Kyoo; Seo, Junho; Lee, Eunwoo
Nature Materials, Vol. 17, Issue 9
DOI: 10.1038/s41563-018-0132-3

Catalogue of topological electronic materials
journal, February 2019

Zhang, Tiantian; Jiang, Yi; Song, Zhida
Nature, Vol. 566, Issue 7745
DOI: 10.1038/s41586-019-0944-6

Topological dual double node-line semimetals NaAlSi(Ge) and their potential as cathode material for sodium ion batteries
journal, January 2019

Yi, X.; Li, W. Q.; Li, Z. H.
Journal of Materials Chemistry C, Vol. 7, Issue 48
DOI: 10.1039/c9tc04096j

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

Optical signatures of Dirac nodal lines in NbAs ₂
journal, December 2018

Shao, Yinming; Sun, Zhiyuan; Wang, Ying
Proceedings of the National Academy of Sciences, Vol. 116, Issue 4
DOI: 10.1073/pnas.1809631115

First-principles study of structural, mechanical, lattice dynamical and thermal properties of nodal-line semimetals ZrXY (X=Si,Ge; Y=S,Se)
journal, October 2016

Salmankurt, Bahadır; Duman, Sıtkı
Philosophical Magazine, Vol. 97, Issue 3
DOI: 10.1080/14786435.2016.1250967

Monoclinic SrIrO ₃ —a Dirac semimetal produced by non-symmorphic symmetry and spin–orbit coupling
journal, December 2018

Takayama, T.; Yaresko, A. N.; Takagi, H.
Journal of Physics: Condensed Matter, Vol. 31, Issue 7
DOI: 10.1088/1361-648x/aaf68a

New topological invariants in non-Hermitian systems
journal, April 2019

Ghatak, Ananya; Das, Tanmoy
Journal of Physics: Condensed Matter, Vol. 31, Issue 26
DOI: 10.1088/1361-648x/ab11b3

Nexus and Dirac lines in topological materials
journal, September 2015

Heikkilä, T. T.; Volovik, G. E.
New Journal of Physics, Vol. 17, Issue 9
DOI: 10.1088/1367-2630/17/9/093019

Topological nodal line semimetals
journal, November 2016

Fang, Chen; Weng, Hongming; Dai, Xi
Chinese Physics B, Vol. 25, Issue 11
DOI: 10.1088/1674-1056/25/11/117106

Stiefel–Whitney classes and topological phases in band theory
journal, October 2019

Ahn, Junyeong; Park, Sungjoon; Kim, Dongwook
Chinese Physics B, Vol. 28, Issue 11
DOI: 10.1088/1674-1056/ab4d3b

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

Ferromagnetic nodal-line metal in monolayer $h$ -InC
journal, July 2019

Jeon, Sunam; Oh, Yun-Tak; Kim, Youngkuk
Physical Review B, Vol. 100, Issue 3
DOI: 10.1103/physrevb.100.035406

Straight nodal lines and waterslide surface states observed in acoustic metacrystals
journal, July 2019

Qiu, Huahui; Qiu, Chunyin; Yu, Rui
Physical Review B, Vol. 100, Issue 4
DOI: 10.1103/physrevb.100.041303

Fermi surface nesting and intrinsic resistivity of beryllium: First-principles calculations
journal, July 2019

Liu, Zhe; Zhu, Mingfeng; Zheng, Yisong
Physical Review B, Vol. 100, Issue 4
DOI: 10.1103/physrevb.100.045145

Dirac nodal lines and large spin Hall effect in the $6 H$ -perovskite iridate ${Ba}_{3} {TiIr}_{2} O_{9}$
journal, September 2019

Bhowal, Sayantika; Satpathy, S.
Physical Review B, Vol. 100, Issue 11
DOI: 10.1103/physrevb.100.115101

Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
journal, November 2019

Li, Heqiu; Fang, Chen; Sun, Kai
Physical Review B, Vol. 100, Issue 19
DOI: 10.1103/physrevb.100.195308

Saddle-point Van Hove singularity and dual topological state in ${Pt}_{2} {HgSe}_{3}$
journal, December 2019

Ghosh, Barun; Mardanya, Sougata; Singh, Bahadur
Physical Review B, Vol. 100, Issue 23
DOI: 10.1103/physrevb.100.235101

Chiral spin liquids with crystalline $Z_{2}$ gauge order in a three-dimensional Kitaev model
journal, January 2020

Mishchenko, Petr A.; Kato, Yasuyuki; O'Brien, Kevin
Physical Review B, Vol. 101, Issue 4
DOI: 10.1103/physrevb.101.045118

Antiferromagnetic topological nodal line semimetals
journal, August 2017

Wang, Jing
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/physrevb.96.081107

Numerical study of universal conductance fluctuations in three-dimensional topological semimetals
journal, October 2017

Hu, Yayun; Liu, Haiwen; Jiang, Hua
Physical Review B, Vol. 96, Issue 13
DOI: 10.1103/physrevb.96.134201

Emergence of topological nodal lines and type-II Weyl nodes in the strong spin-orbit coupling system $InNb X_{2}$ ( $X = S$ ,Se)
journal, December 2017

Du, Yongping; Bo, Xiangyan; Wang, Di
Physical Review B, Vol. 96, Issue 23
DOI: 10.1103/physrevb.96.235152

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

Hopf-link topological nodal-loop semimetals
journal, April 2018

Zhou, Yao; Xiong, Feng; Wan, Xiangang
Physical Review B, Vol. 97, Issue 15
DOI: 10.1103/physrevb.97.155140

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

Dynamical conductivity in the topological nodal-line semimetal ZrSiS
journal, September 2018

Habe, Tetsuro; Koshino, Mikito
Physical Review B, Vol. 98, Issue 12
DOI: 10.1103/physrevb.98.125201

Effect of an incommensurate potential on nodal-link semimetals
journal, November 2018

Wang, Yucheng; Hu, Haiping; Chen, Shu
Physical Review B, Vol. 98, Issue 20
DOI: 10.1103/physrevb.98.205410

Helical metals and insulators: Sheet singularity of the inflated Berry monopole
journal, December 2018

Rostami, Habib; Cappelluti, Emmanuele; Balatsky, Alexander V.
Physical Review B, Vol. 98, Issue 24
DOI: 10.1103/physrevb.98.245114

Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
journal, February 2019

Wang, Huaiqiang; Ruan, Jiawei; Zhang, Haijun
Physical Review B, Vol. 99, Issue 7
DOI: 10.1103/physrevb.99.075130

Quantum impurity in topological multi-Weyl semimetals
journal, March 2019

Lü, Hai-Feng; Deng, Ying-Hua; Ke, Sha-Sha
Physical Review B, Vol. 99, Issue 11
DOI: 10.1103/physrevb.99.115109

Topological Semimetals in the SnTe Material Class: Nodal Lines and Weyl Points
journal, May 2019

Lau, Alexander; Ortix, Carmine
Physical Review Letters, Vol. 122, Issue 18
DOI: 10.1103/physrevlett.122.186801

Photoemission Spectroscopic Evidence for the Dirac Nodal Line in the Monoclinic Semimetal ${SrAs}_{3}$
journal, February 2020

Song, Y. K.; Wang, G. W.; Li, S. C.
Physical Review Letters, Vol. 124, Issue 5
DOI: 10.1103/physrevlett.124.056402

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

Topological semimetal features in the multiferroic hexagonal manganites
journal, June 2019

Weber, Sophie F.; Griffin, Sinéad M.; Neaton, Jeffrey B.
Physical Review Materials, Vol. 3, Issue 6
DOI: 10.1103/physrevmaterials.3.064206

Epitaxial growth and antiferromagnetism of Sn-substituted perovskite iridate $SrI r_{0.8} S n_{0.2} O_{3}$
journal, December 2019

Yang, Junyi; Hao, Lin; Cui, Qi
Physical Review Materials, Vol. 3, Issue 12
DOI: 10.1103/physrevmaterials.3.124411

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

Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry
journal, May 2017

Murakami, Shuichi; Hirayama, Motoaki; Okugawa, Ryo
Science Advances, Vol. 3, Issue 5
DOI: 10.1126/sciadv.1602680

Materials Informatics for Dark Matter Detection
journal, September 2018

Geilhufe, R. Matthias; Olsthoorn, Bart; Ferella, Alfredo D.
physica status solidi (RRL) - Rapid Research Letters, Vol. 12, Issue 11
DOI: 10.1002/pssr.201800293

Magnetic Susceptibility of Topological Semimetals
journal, August 2019

Mikitik, G. P.; Sharlai, Yu. V.
Journal of Low Temperature Physics, Vol. 197, Issue 3-4
DOI: 10.1007/s10909-019-02225-3

Quantum transport in topological semimetals under magnetic fields (II)
journal, April 2019

Sun, Hai-Peng; Lu, Hai-Zhou
Frontiers of Physics, Vol. 14, Issue 3
DOI: 10.1007/s11467-019-0890-7

Topological materials discovery using electron filling constraints
journal, October 2017

Chen, Ru; Po, Hoi Chun; Neaton, Jeffrey B.
Nature Physics, Vol. 14, Issue 1
DOI: 10.1038/nphys4277

Composite topological nodal lines penetrating the Brillouin zone in orthorhombic AgF2
journal, April 2019

Shao, Dexi; Wang, Huaiqiang; Chen, Tong
npj Computational Materials, Vol. 5, Issue 1
DOI: 10.1038/s41524-019-0190-3

Observation of nodal-line semimetal with ultracold fermions in an optical lattice
journal, July 2019

Song, Bo; He, Chengdong; Niu, Sen
Nature Physics, Vol. 15, Issue 9
DOI: 10.1038/s41567-019-0564-y

Nonsymmorphic symmetry protected node-line semimetal in the trigonal YH3
journal, January 2018

Shao, Dexi; Chen, Tong; Gu, Qinyan
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-018-19870-5

Second-order topological insulators and loop-nodal semimetals in Transition Metal Dichalcogenides XTe2 (X = Mo, W)
journal, March 2019

Ezawa, Motohiko
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-41746-5

Topological nodal line state in superconducting NaAlSi compound
journal, January 2019

Jin, Lei; Zhang, Xiaoming; He, Tingli
Journal of Materials Chemistry C, Vol. 7, Issue 34
DOI: 10.1039/c9tc03464a

Dowsing for nodal lines in a topological semimetal
journal, December 2018

Mele, E. J.
Proceedings of the National Academy of Sciences, Vol. 116, Issue 4
DOI: 10.1073/pnas.1820331116

Recent progress on correlated electron systems with strong spin–orbit coupling
journal, August 2016

Schaffer, Robert; Kin-Ho Lee, Eric; Yang, Bohm-Jung
Reports on Progress in Physics, Vol. 79, Issue 9
DOI: 10.1088/0034-4885/79/9/094504

Magnetic impurity in topological nodal loop semimetals
journal, October 2018

Deng, Ying-Hua; Lü, Hai-Feng; Ke, Sha-Sha
Journal of Physics: Condensed Matter, Vol. 30, Issue 43
DOI: 10.1088/1361-648X/aae21d

Magnetotransport properties of compensated semimetal HfB ₂ with high-density light carriers
journal, October 2019

Wang, Qi; Yin, Qiangwei; Lei, Hechang
Journal of Physics: Condensed Matter, Vol. 32, Issue 1
DOI: 10.1088/1361-648x/ab439e

Topology of triple-point metals
journal, July 2019

Winkler, Georg W.; Singh, Sobhit; Soluyanov, Alexey A.
Chinese Physics B, Vol. 28, Issue 7
DOI: 10.1088/1674-1056/28/7/077303

Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
journal, September 2019

Dutta, Paramita; Black-Schaffer, Annica M.
Physical Review B, Vol. 100, Issue 10
DOI: 10.1103/physrevb.100.104511

Plateaus of quantized conductance with high steps in topological nodal-line semimetals
journal, January 2020

Yang, Ning-Xuan; Hou, Zhe; Sun, Qing-Feng
Physical Review B, Vol. 101, Issue 3
DOI: 10.1103/physrevb.101.035418

Photovoltaic anomalous Hall effect in line-node semimetals
journal, October 2016

Taguchi, Katsuhisa; Xu, Dong-Hui; Yamakage, Ai
Physical Review B, Vol. 94, Issue 15
DOI: 10.1103/physrevb.94.155206

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

Ferromagnetic Weyl fermions in ${CrO}_{2}$
journal, May 2018

Wang, R.; Jin, Y. J.; Zhao, J. Z.
Physical Review B, Vol. 97, Issue 19
DOI: 10.1103/physrevb.97.195157

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

Broken-symmetry phases of interacting nested Weyl and Dirac loops
journal, October 2018

Araújo, Miguel A. N.; Li, Linhu
Physical Review B, Vol. 98, Issue 15
DOI: 10.1103/physrevb.98.155114

Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
journal, January 2019

Moors, Kristof; Zyuzin, Alexander A.; Zyuzin, Alexander Yu.
Physical Review B, Vol. 99, Issue 4
DOI: 10.1103/physrevb.99.041116

Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
journal, January 2019

Okugawa, Ryo; Yokoyama, Takehito
Physical Review B, Vol. 99, Issue 4
DOI: 10.1103/physrevb.99.041202

Weyl-loop half-metal in ${Li}_{3} {({FeO}_{3})}_{2}$
journal, February 2019

Chen, Cong; Yu, Zhi-Ming; Li, Si
Physical Review B, Vol. 99, Issue 7
DOI: 10.1103/physrevb.99.075131

Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
journal, May 2019

Chen, Wei; Lu, Hai-Zhou; Zilberberg, Oded
Physical Review Letters, Vol. 122, Issue 19
DOI: 10.1103/physrevlett.122.196603

Topological Dirac nodal-net fermions in ${AlB}_{2}$ -type ${TiB}_{2}$ and ${ZrB}_{2}$
journal, January 2018

Feng, Xing; Yue, Changming; Song, Zhida
Physical Review Materials, Vol. 2, Issue 1
DOI: 10.1103/physrevmaterials.2.014202

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

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

Thermoelectric quantum oscillations in ZrSiS.
journalarticle, January 2017

Matusiak, Marcin; Kaczorowski, Dariusz
Springer Science and Business Media LLC
DOI: 10.17863/cam.43518

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

Multi-loop node line states in ternary MgSrSi-type crystals
journal, January 2019

Lian, Jinling; Yu, Lixian; Liang, Qi-Feng
npj Computational Materials, Vol. 5, Issue 1
DOI: 10.1038/s41524-018-0147-y

Two-dimensional higher-order topology in monolayer graphdiyne
journal, January 2020

Lee, Eunwoo; Kim, Rokyeon; Ahn, Junyeong
npj Quantum Materials, Vol. 5, Issue 1
DOI: 10.1038/s41535-019-0206-8

Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)
journal, December 2016

Chang, Guoqing; Xu, Su-Yang; Zheng, Hao
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep38839

Strong anisotropic nodal lines in the TiBe family
journal, January 2019

Zou, Z. C.; Zhou, P.; Ma, Z. S.
Physical Chemistry Chemical Physics, Vol. 21, Issue 16
DOI: 10.1039/c9cp00508k

Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
journal, June 2018

Owerre, S. A.
Journal of Physics: Condensed Matter, Vol. 30, Issue 28
DOI: 10.1088/1361-648x/aac8b5

Magnetic susceptibility of topological nodal semimetals
journal, November 2016

Mikitik, G. P.; Sharlai, Yu. V.
Physical Review B, Vol. 94, Issue 19
DOI: 10.1103/physrevb.94.195123

Scattering on a rectangular potential barrier in nodal-line Weyl semimetals
journal, June 2018

Khokhlov, D. A.; Rakhmanov, A. L.; Rozhkov, A. V.
Physical Review B, Vol. 97, Issue 23
DOI: 10.1103/physrevb.97.235418

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

Topologically nontrivial photonic nodal surface in a photonic metamaterial
journal, June 2019

Kim, Minkyung; Lee, Dasol; Lee, Dongwoo
Physical Review B, Vol. 99, Issue 23
DOI: 10.1103/physrevb.99.235423

Experimental Observation of Dirac Nodal Links in Centrosymmetric Semimetal ${TiB}_{2}$
journal, August 2018

Liu, Zhonghao; Lou, Rui; Guo, Pengjie
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/physrevx.8.031044

Route towards Dirac and Weyl antiferromagnetic spintronics: Route towards Dirac and Weyl antiferromagnetic spintronics
journal, March 2017

Šmejkal, Libor; Jungwirth, Tomáš; Sinova, Jairo
physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 4
DOI: 10.1002/pssr.201700044

The study of magnetic topological semimetals by first principles calculations
journal, October 2019

Zou, Jinyu; He, Zhuoran; Xu, Gang
npj Computational Materials, Vol. 5, Issue 1
DOI: 10.1038/s41524-019-0237-5

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

Strain-engineering of charge transport in the correlated Dirac semimetal of perovskite CaIrO ₃ thin films
journal, August 2019

Masuko, M.; Fujioka, J.; Nakamura, M.
APL Materials, Vol. 7, Issue 8
DOI: 10.1063/1.5109582

Suppression of twinning and enhanced electronic anisotropy of SrIrO ₃ films
journal, July 2019

Jaiswal, A. K.; Schneider, R.; Singh, R.
Applied Physics Letters, Vol. 115, Issue 3
DOI: 10.1063/1.5110982

Multifold nodal points in magnetic materials
journal, October 2019

Cano, Jennifer; Bradlyn, Barry; Vergniory, M. G.
APL Materials, Vol. 7, Issue 10
DOI: 10.1063/1.5124314

Symmetry demanded topological nodal-line materials
journal, January 2018

Yang, Shuo-Ying; Yang, Hao; Derunova, Elena
Advances in Physics: X, Vol. 3, Issue 1
DOI: 10.1080/23746149.2017.1414631

Topological semimetals predicted from first-principles calculations
journal, June 2016

Weng, Hongming; Dai, Xi; Fang, Zhong
Journal of Physics: Condensed Matter, Vol. 28, Issue 30
DOI: 10.1088/0953-8984/28/30/303001

Nodal-line entanglement entropy: Generalized Widom formula from entanglement Hamiltonians
journal, June 2017

Pretko, Michael
Physical Review B, Vol. 95, Issue 23
DOI: 10.1103/physrevb.95.235111

Spinless hourglass nodal-line semimetals
journal, October 2017

Takahashi, Ryo; Hirayama, Motoaki; Murakami, Shuichi
Physical Review B, Vol. 96, Issue 15
DOI: 10.1103/physrevb.96.155206

Hybrid nodal loop metal: Unconventional magnetoresponse and material realization
journal, March 2018

Zhang, Xiaoming; Yu, Zhi-Ming; Lu, Yunhao
Physical Review B, Vol. 97, Issue 12
DOI: 10.1103/physrevb.97.125143

Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
journal, April 2018

Chen, Rui; Zhou, Bin; Xu, Dong-Hui
Physical Review B, Vol. 97, Issue 15
DOI: 10.1103/physrevb.97.155152

Hourglass Dirac chain metal in rhenium dioxide
journal, November 2017

Wang, Shan-Shan; Liu, Ying; Yu, Zhi-Ming
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/s41467-017-01986-3

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

Topological crystalline superconductors in two dimensions
journal, July 2019

Liu, Zhu-Xi; Wang, An-Min
Journal of Physics: Condensed Matter, Vol. 31, Issue 38
DOI: 10.1088/1361-648x/ab29ce

$PT$ -symmetric non-Hermitian Dirac semimetals
journal, December 2019

Rui, W. B.; Hirschmann, Moritz M.; Schnyder, Andreas P.
Physical Review B, Vol. 100, Issue 24
DOI: 10.1103/physrevb.100.245116

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

Topological and trivial magnetic oscillations in nodal loop semimetals
journal, May 2018

Oroszlány, László; Dóra, Balázs; Cserti, József
Physical Review B, Vol. 97, Issue 20
DOI: 10.1103/physrevb.97.205107

Nodal line fermions in magnetic oxides
journal, June 2018

Wang, R.; Zhao, J. Z.; Jin, Y. J.
Physical Review B, Vol. 97, Issue 24
DOI: 10.1103/physrevb.97.241111

Hourglasslike nodal net semimetal in ${Ag}_{2} {BiO}_{3}$
journal, August 2018

Fu, Botao; Fan, Xiaotong; Ma, Dashuai
Physical Review B, Vol. 98, Issue 7
DOI: 10.1103/physrevb.98.075146

Symmetry representation approach to topological invariants in $C_{2 z} T$ -symmetric systems
journal, June 2019

Ahn, Junyeong; Yang, Bohm-Jung
Physical Review B, Vol. 99, Issue 23
DOI: 10.1103/physrevb.99.235125

Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
journal, December 2019

Chan, Y. -H.; Kilic, Berkay; Hirschmann, Moritz M.
Physical Review Materials, Vol. 3, Issue 12
DOI: 10.1103/physrevmaterials.3.124204

Topological Nodal States in Circuit Lattice
journal, September 2018

Luo, Kaifa; Yu, Rui; Weng, Hongming
Research, Vol. 2018
DOI: 10.1155/2018/6793752

Non-Abelian band topology in noninteracting metals
text, January 2019

QuanSheng, Wu,; A., Soluyanov, Alexey; Tomáš, Bzdušek,
American Association for the Advancement of Science
DOI: 10.5167/uzh-181242

Dirac node arcs in PtSn4
journal, April 2016

Wu, Yun; Wang, Lin-Lin; Mun, Eundeok
Nature Physics, Vol. 12, Issue 7
DOI: 10.1038/nphys3712

Robust topological nodal lines in halide carbides
journal, January 2019

Pham, Anh; Klose, Frank; Li, Sean
Physical Chemistry Chemical Physics, Vol. 21, Issue 36
DOI: 10.1039/c9cp04330f

Emergence of topological phases by stacking of two-dimensional lattices with nonsymmorphic symmetry
journal, December 2018

Chiu, Pok-Man; Huang, Cheng-Yi; Li, Wan-Ju
Journal of Physics: Condensed Matter, Vol. 31, Issue 3
DOI: 10.1088/1361-648x/aaf040

New type of hybrid nodal line semimetal in Be ₂ Si
journal, March 2019

Li, Z. H.; Wang, W.; Zhou, P.
New Journal of Physics, Vol. 21, Issue 3
DOI: 10.1088/1367-2630/ab0d95

Two-dimensional topological nodal line semimetal in layered $X_{2} Y$ ( $X = Ca$ , Sr, and Ba; $Y = As$ , Sb, and Bi)
journal, June 2017

Niu, Chengwang; Buhl, Patrick M.; Bihlmayer, Gustav
Physical Review B, Vol. 95, Issue 23
DOI: 10.1103/physrevb.95.235138

Tunable two-dimensional Dirac nodal nets
journal, October 2018

Shao, Ding-Fu; Zhang, Shu-Hui; Dang, Xiaoqian
Physical Review B, Vol. 98, Issue 16
DOI: 10.1103/physrevb.98.161104

Classification of topological quantum matter with symmetries
text, January 2015

Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.
arXiv
DOI: 10.48550/arxiv.1505.03535

Collective modes in nodal line semimetals
text, January 2015

Yan, Zhongbo; Huang, Peng-Wei; Wang, Zhong
arXiv
DOI: 10.48550/arxiv.1511.09257

Recent progress on correlated electron systems with strong spin-orbit coupling
text, January 2015

Schaffer, Robert; Lee, Eric Kin-Ho; Yang, Bohm-Jung
arXiv
DOI: 10.48550/arxiv.1512.02224

Topological crystalline semimetals in non-symmorphic lattices
text, January 2015

Chen, Yige; Kim, Heung-Sik; Kee, Hae-Young
arXiv
DOI: 10.48550/arxiv.1512.08865

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

Giant isotropic Nernst effect in an anisotropic Kondo semimetal
text, January 2016

Stockert, Ulrike; Sun, Peije; Oeschler, Niels
arXiv
DOI: 10.48550/arxiv.1603.01258

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

Topological nodal line semimetals
text, January 2016

Fang, Chen; Weng, Hongming; Dai, Xi
arXiv
DOI: 10.48550/arxiv.1609.05414

Nodal Line Entanglement Entropy: Generalized Widom Formula from Entanglement Hamiltonians
text, January 2016

Pretko, Michael
arXiv
DOI: 10.48550/arxiv.1609.07502

Thermoelectric quantum oscillations in ZrSiS
text, January 2017

Matusiak, Marcin; Cooper, J. R.; Kaczorowski, Dariusz
arXiv
DOI: 10.48550/arxiv.1701.02137

From Nodal Chain Semimetal To Weyl Semimetal in HfC
text, January 2017

Yu, Rui; Wu, Quansheng; Fang, Zhong
arXiv
DOI: 10.48550/arxiv.1701.08502

Topological transport in Dirac nodal-line semimetals
text, January 2017

Rui, W. B.; Zhao, Y. X.; Schnyder, Andreas P.
arXiv
DOI: 10.48550/arxiv.1703.05958

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

Topological semimetals with double-helix nodal link
text, January 2017

Chen, Wei; Lu, Hai-Zhou; Hou, Jing-Min
arXiv
DOI: 10.48550/arxiv.1703.10886

Nodal-link semimetals
text, January 2017

Yan, Zhongbo; Bi, Ren; Shen, Huitao
arXiv
DOI: 10.48550/arxiv.1704.00655

Coexistence of four-band nodal rings and triply-degenerate nodal points in centrosymmetric metal diborides
text, January 2017

Zhang, Xiaoming; Yu, Zhi-Ming; Sheng, Xian-Lei
arXiv
DOI: 10.48550/arxiv.1704.03703

Antiferromagnetic Topological Nodal Line Semimetals
text, January 2017

Wang, Jing
arXiv
DOI: 10.48550/arxiv.1704.05608

Nodal-knot semimetals
text, January 2017

Bi, Ren; Yan, Zhongbo; Lu, Ling
arXiv
DOI: 10.48550/arxiv.1704.06849

Hourglass Dirac Chain Metal in Rhenium Dioxide
text, January 2017

Wang, Shan-Shan; Liu, Ying; Yu, Zhi-Ming
arXiv
DOI: 10.48550/arxiv.1705.01424

Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
text, January 2017

Bzdušek, Tomáš; Sigrist, Manfred
arXiv
DOI: 10.48550/arxiv.1705.07126

Experimental discovery of nodal chains
text, January 2017

Yan, Qinghui; Liu, Rongjuan; Yan, Zhongbo
arXiv
DOI: 10.48550/arxiv.1706.05500

Flat optical conductivity in ZrSiS due to two-dimensional Dirac bands
text, January 2017

Schilling, M. B.; Schoop, L. M.; Lotsch, B. V.
arXiv
DOI: 10.48550/arxiv.1707.09620

Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals
text, January 2017

Hu, Yayun; Liu, Haiwen; Jiang, Hua
arXiv
DOI: 10.48550/arxiv.1708.05212

Weyl nodal surfaces
text, January 2017

Türker, Oğuz; Moroz, Sergej
arXiv
DOI: 10.48550/arxiv.1709.01561

Band Connectivity for Topological Quantum Chemistry: Band Structures As A Graph Theory Problem
text, January 2017

Bradlyn, Barry; Elcoro, L.; Vergniory, M. G.
arXiv
DOI: 10.48550/arxiv.1709.01937

Theory of Large Intrinsic Spin Hall Effect in Iridate Semimetals
text, January 2017

Patri, Adarsh S.; Hwang, Kyusung; Lee, Hyun-Woo
arXiv
DOI: 10.48550/arxiv.1711.00861

Scattering on a rectangular potential barrier in nodal-line Weyl semimetals
text, January 2018

Khokhlov, D. A.; Rakhmanov, A. L.; Rozhkov, A. V.
arXiv
DOI: 10.48550/arxiv.1802.08643

Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides
text, January 2018

Nie, Simin; Weng, Hongming; Prinz, Fritz B.
arXiv
DOI: 10.48550/arxiv.1803.08486

Emergence of Topological insulator and Nodal line semi-metal states in XX'Bi (X=Na, K, Rb, Cs; X'=Ca, Sr)
text, January 2018

Mondal, Chiranjit; Barman, C. K.; Kumar, Sourabh
arXiv
DOI: 10.48550/arxiv.1804.02225

Topological band crossings in hexagonal materials
text, January 2018

Zhang, Jonathan; Chan, Y. -H.; Chiu, Ching-Kai
arXiv
DOI: 10.48550/arxiv.1805.05120

Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
text, January 2018

Po, Hoi Chun; Zou, Liujun; Senthil, T.
arXiv
DOI: 10.48550/arxiv.1808.02482

Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
text, January 2018

Okugawa, Ryo; Yokoyama, Takehito
arXiv
DOI: 10.48550/arxiv.1810.03376

Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
text, January 2018

Sur, Shouvik; Roy, Bitan
arXiv
DOI: 10.48550/arxiv.1812.05615

Hear the Sound of Weyl Fermions
text, January 2019

Song, Zhida; Dai, Xi
arXiv
DOI: 10.48550/arxiv.1901.09926

Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
text, January 2019

Chen, Wei; Lu, Hai-Zhou; Zilberberg, Oded
arXiv
DOI: 10.48550/arxiv.1902.06921

Topological Semimetal features in the Multiferroic Hexagonal Manganites
text, January 2019

Weber, Sophie F.; Griffin, Sinéad M.; Neaton, Jeffrey B.
arXiv
DOI: 10.48550/arxiv.1902.10085

Magnetic susceptibility of topological semimetals
text, January 2019

Mikitik, G. P.; Sharlai, Yu. V.
arXiv
DOI: 10.48550/arxiv.1903.12208

Spin-to-charge conversion in magnetic Weyl semimetals
text, January 2019

Zhang, Steven S. -L.; Burkov, Anton A.; Martin, Ivar
arXiv
DOI: 10.48550/arxiv.1904.07181

Two-dimensional higher-order topology in monolayer graphdiyne
text, January 2019

Lee, Eunwoo; Kim, Rokyeon; Ahn, Junyeong
arXiv
DOI: 10.48550/arxiv.1904.11452

Suppression of twinning and enhanced electronic anisotropy of SrIrO3 films
text, January 2019

Jaiswal, A. K.; Schneider, R.; Singh, R.
arXiv
DOI: 10.48550/arxiv.1907.07520

Topological photonics
journal, October 2014

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

Topological insulators and higher-order topological insulators from gauge-invariant 1D lines
text, January 2020

Li, Heqiu; Sun, Kai
arXiv
DOI: 10.48550/arxiv.2004.05504

Figures / Tables found in this record:

FIG. 1 (p. 3)

FIG. 2 (p. 5)

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

Similar Records in DOE PAGES and OSTI.GOV collections:

Spin-orbit coupling driven crossover from a starfruitlike nodal semimetal to Dirac and Weyl semimetal state in CaAuAs

Journal Article Singh, Bahadur ; Mardanya, Sougata ; Su, Chenliang ; ... - Physical Review. B

Band crossings that occur on a mirror plane are compelled to form nodal loops in the momentum space in the absence of spin-orbit coupling (SOC). When other equivalent mirror planes are present, multiple such nodal loops can combine to form interesting topological structures involving crossed nodal lines. Here, based on first-principles calculations and an effective k ⋅ p model analysis, we show that CaAuAs hosts a unique starfruitlike crossed-nodal-line structure in the bulk electronic dispersion, which is comprised of three nodal loops that cross each other at the time-reversal-invariant momentum point A. When the SOC is turned on, the nodalmore »« less
Cited by 24
https://doi.org/10.1103/physrevb.98.085122

Full Text Available
A 2D nonsymmorphic Dirac semimetal in a chemically modified group-VA monolayer with a black phosphorene structure

Journal Article Jin, Kyung-Hwan ; Huang, Huaqing ; Wang, Zhengfei ; ... - Nanoscale

A symmetry-protected 2D Dirac semimetal has attracted intense interest for its intriguing material properties. In this paper, we report a 2D nonsymmorphic Dirac semimetal state in a chemically modified group-VA 2D puckered structure. Based on first-principles calculations, we demonstrate the existence of 2D Dirac fermions in a one-side modified phosphorene structure in two different types: one with a Dirac nodal line (DNL) structure for light elements with negligible spin–orbit coupling (SOC) and the other having an hourglass band protected by a nonsymmorphic symmetry for heavy elements with strong SOC. In the absence of SOC, the DNL exhibits an anisotropic behaviormore »« less
Cited by 20
https://doi.org/10.1039/c9nr00906j

Full Text Available
Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co₂TiX (X=Si, Ge, or Sn)

Journal Article Chang, Guoqing ; Xu, Su -Yang ; Zheng, Hao ; ... - Scientific Reports

Topological semimetals (TSMs) including Weyl semimetals and nodal-line semimetals are expected to open the next frontier of condensed matter and materials science. Although the first inversion breaking Weyl semimetal was recently discovered in TaAs, its magnetic counterparts, i.e., the time-reversal breaking Weyl and nodal line semimetals, remain elusive. They are predicted to exhibit exotic properties distinct from the inversion breaking TSMs including TaAs. In this paper, we identify the magnetic topological semimetal states in the ferromagnetic half-metal compounds Co₂TiX (X = Si, Ge, or Sn) with Curie temperatures higher than 350 K. Our first-principles band structure calculations show that, inmore »« less
Cited by 134
https://doi.org/10.1038/srep38839

Full Text Available
Prediction of a magnetic Weyl semimetal without spin-orbit coupling and strong anomalous Hall effect in the Heusler compensated ferrimagnet Ti 2 MnAl

Journal Article Shi, Wujun ; Muechler, Lukas ; Manna, Kaustuv ; ... - Physical Review. B

We predict a magnetic Weyl semimetal in the inverse Heusler Ti₂MnAl, a compensated ferrimagnet with a vanishing net magnetic moment and a Curie temperature of over 650 K. Despite the vanishing net magnetic moment, we calculate a large intrinsic anomalous Hall effect (AHE) of about 300 S/cm. It derives from the Berry curvature distribution of the Weyl points, which are only 14 meV away from the Fermi level and isolated from trivial bands. Different from antiferromagnets Mn₃ X (X=Ge, Sn, Ga, Ir, Rh, and Pt), where the AHE originates from the noncollinear magnetic structure, the AHE in Ti₂MnAl stems directlymore »« less
Cited by 65
https://doi.org/10.1103/physrevb.97.060406

Full Text Available
Pseudo Dirac nodal sphere semimetal

Journal Article Wang, Jianfeng ; Liu, Yizhou ; Jin, Kyung-Hwan ; ... - Physical Review B

Topological semimetals (TSMs) in which conduction and valence bands cross at zero-dimensional (0D) Dirac nodal points (DNPs) or 1D Dirac nodal lines (DNLs), in 3D momentum space, have recently drawn much attention due to their exotic electronic properties. Here, we generalize the TSM state further to a higher-dimensional Dirac nodal sphere (DNS) or pseudo DNS (PDNS) state, with the band crossings forming a 2D closed or approximate sphere at the Fermi level. This TSM state can exhibit unique electronic properties, making DNS/PDNS a type of fermion beyond the DNP/DNL paradigm. In realistic crystals, we demonstrate two possible types of PDNSmore »« less
Cited by 29
https://doi.org/10.1103/physrevb.98.201112

Full Text Available

Similar Records

Title: Topological nodal line semimetals with and without spin-orbital coupling

Abstract

Citation Formats

Figures / Tables:

Landau level quantization and almost flat modes in three-dimensional semimetals with nodal ring spectra journal, July 2015

Line of Dirac Nodes in Hyperhoneycomb Lattices journal, July 2015

Observation of Fermi arc surface states in a topological metal journal, December 2014

Tunable line node semimetals journal, September 2014

Topological nonsymmorphic crystalline insulators journal, August 2014

Topological order and absence of band insulators at integer filling in non-symmorphic crystals journal, April 2013

Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2 journal, May 2014

Experimental observation of Weyl points journal, July 2015

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

Weyl Semimetal in a Topological Insulator Multilayer journal, September 2011

Classification of reflection-symmetry-protected topological semimetals and nodal superconductors journal, November 2014

Dirac Semimetal in Three Dimensions journal, April 2012

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

Discovery of a Weyl fermion semimetal and topological Fermi arcs journal, July 2015

Topological node-line semimetal in three-dimensional graphene networks journal, July 2015

Topological crystalline metal in orthorhombic perovskite iridates journal, March 2015

Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb) journal, May 2012

Topological nodal semimetals journal, December 2011

Experimental Discovery of Weyl Semimetal TaAs journal, July 2015

Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states journal, April 2015

Topological photonics journal, October 2014

Chiral gauge field and axial anomaly in a Weyl semimetal journal, June 2013

Chiral anomaly and classical negative magnetoresistance of Weyl metals journal, September 2013

Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry journal, June 2012

New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic journal, April 2015

Quantum Transport Evidence for the Three-Dimensional Dirac Semimetal Phase in Cd 3 As 2 journal, December 2014

Semimetal and Topological Insulator in Perovskite Iridates journal, March 2012

Dirac Line Nodes in Inversion-Symmetric Crystals journal, July 2015

Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite Cu 3 PdN journal, July 2015

Charge Transport in Weyl Semimetals journal, January 2012

A stable three-dimensional topological Dirac semimetal Cd3As2 journal, May 2014

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2 journal, June 2014

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

A new form of Ca 3 P 2 with a ring of Dirac nodes journal, August 2015

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

Semimetal and Topological Insulator in Perovskite Iridates text, January 2011

Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi text, January 2013

Topological Crystalline Metal in Orthorhombic Perovskite Iridates text, January 2014

Weyl semimetal phase in non-centrosymmetric transition metal monophosphides text, January 2015

Dirac Line Nodes in Inversion Symmetric Crystals text, January 2015

Microbial production of sabinene—a new terpene-based precursor of advanced biofuel journal, January 2014

Two Topologically Distinct Dirac-Line Semimetal Phases and Topological Phase Transitions in Rhombohedrally Stacked Honeycomb Lattices journal, January 2018

Topological nodal line semimetals predicted from first-principles calculations journal, June 2017

Nodal-chain metals journal, August 2016

Dirac cone protected by non-symmorphic symmetry and three-dimensional Dirac line node in ZrSiS journal, May 2016

Topological Dirac nodal lines and surface charges in fcc alkaline earth metals journal, January 2017

Thermoelectric quantum oscillations in ZrSiS journal, May 2017

Topological semimetals with helicoid surface states journal, June 2016

Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs journal, January 2018

Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal journal, July 2018

Catalogue of topological electronic materials journal, February 2019

Topological dual double node-line semimetals NaAlSi(Ge) and their potential as cathode material for sodium ion batteries journal, January 2019

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

Optical signatures of Dirac nodal lines in NbAs 2 journal, December 2018

First-principles study of structural, mechanical, lattice dynamical and thermal properties of nodal-line semimetals ZrXY (X=Si,Ge; Y=S,Se) journal, October 2016

Monoclinic SrIrO 3 —a Dirac semimetal produced by non-symmorphic symmetry and spin–orbit coupling journal, December 2018

New topological invariants in non-Hermitian systems journal, April 2019

Nexus and Dirac lines in topological materials journal, September 2015

Topological nodal line semimetals journal, November 2016

Stiefel–Whitney classes and topological phases in band theory journal, October 2019

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

Ferromagnetic nodal-line metal in monolayer h -InC journal, July 2019

Straight nodal lines and waterslide surface states observed in acoustic metacrystals journal, July 2019

Fermi surface nesting and intrinsic resistivity of beryllium: First-principles calculations journal, July 2019

Dirac nodal lines and large spin Hall effect in the 6 H -perovskite iridate Ba 3 TiIr 2 O 9 journal, September 2019

Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries journal, November 2019

Saddle-point Van Hove singularity and dual topological state in Pt 2 HgSe 3 journal, December 2019

Chiral spin liquids with crystalline Z 2 gauge order in a three-dimensional Kitaev model journal, January 2020

Antiferromagnetic topological nodal line semimetals journal, August 2017

Numerical study of universal conductance fluctuations in three-dimensional topological semimetals journal, October 2017

Emergence of topological nodal lines and type-II Weyl nodes in the strong spin-orbit coupling system InNb X 2 ( X = S ,Se) journal, December 2017

Nodal-line semimetals from Weyl superlattices journal, December 2017

Hopf-link topological nodal-loop semimetals journal, April 2018

Quantum oscillations in nodal line systems journal, April 2018

Dynamical conductivity in the topological nodal-line semimetal ZrSiS journal, September 2018

Effect of an incommensurate potential on nodal-link semimetals journal, November 2018

Landau level quantization and almost flat modes in three-dimensional semimetals with nodal ring spectra
journal, July 2015

Line of Dirac Nodes in Hyperhoneycomb Lattices
journal, July 2015

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Tunable line node semimetals
journal, September 2014

Topological nonsymmorphic crystalline insulators
journal, August 2014

Topological order and absence of band insulators at integer filling in non-symmorphic crystals
journal, April 2013

Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
journal, May 2014

Experimental observation of Weyl points
journal, July 2015

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

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Classification of reflection-symmetry-protected topological semimetals and nodal superconductors
journal, November 2014

Dirac Semimetal in Three Dimensions
journal, April 2012

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

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Topological node-line semimetal in three-dimensional graphene networks
journal, July 2015

Topological crystalline metal in orthorhombic perovskite iridates
journal, March 2015

Dirac semimetal and topological phase transitions in $A_{3}$ Bi ( $A = Na$ , K, Rb)
journal, May 2012

Topological nodal semimetals
journal, December 2011

Experimental Discovery of Weyl Semimetal TaAs
journal, July 2015

$Z_{2}$ topology in nonsymmorphic crystalline insulators: Möbius twist in surface states
journal, April 2015

Topological photonics
journal, October 2014

Chiral gauge field and axial anomaly in a Weyl semimetal
journal, June 2013

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
journal, June 2012

New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
journal, April 2015

Quantum Transport Evidence for the Three-Dimensional Dirac Semimetal Phase in ${Cd}_{3} {As}_{2}$
journal, December 2014

Semimetal and Topological Insulator in Perovskite Iridates
journal, March 2012

Dirac Line Nodes in Inversion-Symmetric Crystals
journal, July 2015

Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite ${Cu}_{3} PdN$
journal, July 2015

Charge Transport in Weyl Semimetals
journal, January 2012

A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014

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

A new form of Ca ₃ P ₂ with a ring of Dirac nodes
journal, August 2015

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

Semimetal and Topological Insulator in Perovskite Iridates
text, January 2011

Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
text, January 2013

Topological Crystalline Metal in Orthorhombic Perovskite Iridates
text, January 2014

Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
text, January 2015

Dirac Line Nodes in Inversion Symmetric Crystals
text, January 2015

Microbial production of sabinene—a new terpene-based precursor of advanced biofuel
journal, January 2014

Two Topologically Distinct Dirac-Line Semimetal Phases and Topological Phase Transitions in Rhombohedrally Stacked Honeycomb Lattices
journal, January 2018

Topological nodal line semimetals predicted from first-principles calculations
journal, June 2017

Nodal-chain metals
journal, August 2016

Dirac cone protected by non-symmorphic symmetry and three-dimensional Dirac line node in ZrSiS
journal, May 2016

Topological Dirac nodal lines and surface charges in fcc alkaline earth metals
journal, January 2017

Thermoelectric quantum oscillations in ZrSiS
journal, May 2017

Topological semimetals with helicoid surface states
journal, June 2016

Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
journal, January 2018

Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal
journal, July 2018

Catalogue of topological electronic materials
journal, February 2019

Topological dual double node-line semimetals NaAlSi(Ge) and their potential as cathode material for sodium ion batteries
journal, January 2019

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

Optical signatures of Dirac nodal lines in NbAs ₂
journal, December 2018

First-principles study of structural, mechanical, lattice dynamical and thermal properties of nodal-line semimetals ZrXY (X=Si,Ge; Y=S,Se)
journal, October 2016

Monoclinic SrIrO ₃ —a Dirac semimetal produced by non-symmorphic symmetry and spin–orbit coupling
journal, December 2018

New topological invariants in non-Hermitian systems
journal, April 2019

Nexus and Dirac lines in topological materials
journal, September 2015

Topological nodal line semimetals
journal, November 2016

Stiefel–Whitney classes and topological phases in band theory
journal, October 2019

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

Ferromagnetic nodal-line metal in monolayer $h$ -InC
journal, July 2019

Straight nodal lines and waterslide surface states observed in acoustic metacrystals
journal, July 2019

Fermi surface nesting and intrinsic resistivity of beryllium: First-principles calculations
journal, July 2019

Dirac nodal lines and large spin Hall effect in the $6 H$ -perovskite iridate ${Ba}_{3} {TiIr}_{2} O_{9}$
journal, September 2019

Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
journal, November 2019

Saddle-point Van Hove singularity and dual topological state in ${Pt}_{2} {HgSe}_{3}$
journal, December 2019

Chiral spin liquids with crystalline $Z_{2}$ gauge order in a three-dimensional Kitaev model
journal, January 2020

Antiferromagnetic topological nodal line semimetals
journal, August 2017

Numerical study of universal conductance fluctuations in three-dimensional topological semimetals
journal, October 2017

Emergence of topological nodal lines and type-II Weyl nodes in the strong spin-orbit coupling system $InNb X_{2}$ ( $X = S$ ,Se)
journal, December 2017

Nodal-line semimetals from Weyl superlattices
journal, December 2017

Hopf-link topological nodal-loop semimetals
journal, April 2018

Quantum oscillations in nodal line systems
journal, April 2018

Dynamical conductivity in the topological nodal-line semimetal ZrSiS
journal, September 2018

Effect of an incommensurate potential on nodal-link semimetals
journal, November 2018

Helical metals and insulators: Sheet singularity of the inflated Berry monopole
journal, December 2018

Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
journal, February 2019

Quantum impurity in topological multi-Weyl semimetals
journal, March 2019

Topological Semimetals in the SnTe Material Class: Nodal Lines and Weyl Points
journal, May 2019