skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Weyl and Dirac semimetals in three-dimensional solids

Abstract

Not provided.

Authors:
; ;
Publication Date:
Research Org.:
Johns Hopkins Univ., Baltimore, MD (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1537290
DOE Contract Number:  
FG02-08ER46544; FG02-84ER45118
Resource Type:
Journal Article
Journal Name:
Reviews of Modern Physics
Additional Journal Information:
Journal Volume: 90; Journal Issue: 1; Journal ID: ISSN 0034-6861
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Physics

Citation Formats

Armitage, N. P., Mele, E. J., and Vishwanath, Ashvin. Weyl and Dirac semimetals in three-dimensional solids. United States: N. p., 2018. Web. doi:10.1103/revmodphys.90.015001.
Armitage, N. P., Mele, E. J., & Vishwanath, Ashvin. Weyl and Dirac semimetals in three-dimensional solids. United States. doi:10.1103/revmodphys.90.015001.
Armitage, N. P., Mele, E. J., and Vishwanath, Ashvin. Mon . "Weyl and Dirac semimetals in three-dimensional solids". United States. doi:10.1103/revmodphys.90.015001.
@article{osti_1537290,
title = {Weyl and Dirac semimetals in three-dimensional solids},
author = {Armitage, N. P. and Mele, E. J. and Vishwanath, Ashvin},
abstractNote = {Not provided.},
doi = {10.1103/revmodphys.90.015001},
journal = {Reviews of Modern Physics},
issn = {0034-6861},
number = 1,
volume = 90,
place = {United States},
year = {2018},
month = {1}
}

Works referenced in this record:

Some properties of gapless semiconductors of the second kind
journal, August 1971

  • Abrikosov, A. A.; Beneslavskii, S. D.
  • Journal of Low Temperature Physics, Vol. 5, Issue 2
  • DOI: 10.1007/BF00629569

Quantum magnetoresistance
journal, August 1998


Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969


Optical conductivity of multi-Weyl semimetals
journal, April 2017


Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates
journal, June 2012


Magneto-Optical Signature of Massless Kane Electrons in Cd 3 As 2
journal, September 2016


The Magnetoresistance of Bismuth Crystals at Low Temperatures
journal, September 1953


The Crystal and Electronic Structures of Cd 3 As 2 , the Three-Dimensional Electronic Analogue of Graphene
journal, March 2014

  • Ali, Mazhar N.; Gibson, Quinn; Jeon, Sangjun
  • Inorganic Chemistry, Vol. 53, Issue 8
  • DOI: 10.1021/ic403163d

Topological electronic structure in half-Heusler topological insulators
journal, September 2010


Theory of the strongly disordered Weyl semimetal
journal, February 2016


Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
journal, January 1997


Two-dimensional surface state in the quantum limit of a topological insulator
journal, November 2010

  • Analytis, James G.; McDonald, Ross D.; Riggs, Scott C.
  • Nature Physics, Vol. 6, Issue 12
  • DOI: 10.1038/nphys1861

Dynamical Conductivity and Zero-Mode Anomaly in Honeycomb Lattices
journal, May 2002

  • Ando, Tsuneya; Zheng, Yisong; Suzuura, Hidekatsu
  • Journal of the Physical Society of Japan, Vol. 71, Issue 5
  • DOI: 10.1143/JPSJ.71.1318

Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
journal, March 2015


Infrared Conductivity of Elemental Bismuth under Pressure: Evidence for an Avoided Lifshitz-Type Semimetal-Semiconductor Transition
journal, June 2010


Chiral Weyl Pockets and Fermi Surface Topology of the Weyl Semimetal TaAs
journal, September 2016


Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
journal, May 2016

  • Arnold, Frank; Shekhar, Chandra; Wu, Shu-Chun
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11615

Band structure of cadmium arsenide at room temperature
journal, April 1977


Oscillatory Galvanomagnetic Properties of Bismuth Single Crystals in Longitudinal Magnetic Fields
journal, August 1957


Low-frequency optical conductivity in graphene and in other scale-invariant two-band systems
journal, March 2013


Weyl electrons kiss
journal, May 2011


Anisotropic Hysteretic Hall Effect and Magnetic Control of Chiral Domains in the Chiral Spin States of Pr 2 Ir 2 O 7
journal, May 2011


Colloquium : Topological band theory
journal, June 2016


Aharonov-Bohm Oscillations in Disordered Topological Insulator Nanowires
journal, October 2010


Visualizing weakly bound surface Fermi arcs and their correspondence to bulk Weyl fermions
journal, August 2016


Heavy Fermion Superconductivity and Magnetic Order in Noncentrosymmetric C e P t 3 S i
journal, January 2004


Current at a Distance and Resonant Transparency in Weyl Semimetals
journal, December 2015


Spin–valley locking in the normal state of a transition-metal dichalcogenide superconductor
journal, May 2016

  • Bawden, L.; Cooil, S. P.; Mazzola, F.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11711

Visualizing the chiral anomaly in Dirac and Weyl semimetals with photoemission spectroscopy
journal, February 2016


A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969


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

Fermi arc electronic structure and Chern numbers in the type-II Weyl semimetal candidate Mo x W 1 x Te 2
journal, August 2016


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


Dirty Weyl semimetals: Stability, phase transition, and quantum criticality
journal, May 2016


Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006

  • Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
  • Science, Vol. 314, Issue 5806, p. 1757-1761
  • DOI: 10.1126/science.1133734

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

Drumhead surface states and topological nodal-line fermions in TlTaSe 2
journal, March 2016


Experimental Realization of a Three-Dimensional Dirac Semimetal
journal, July 2014


Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016


Topological-Metal to Band-Insulator Transition in ( Bi 1 x In x ) 2 Se 3 Thin Films
journal, October 2012


Enabling single-mode behavior over large areas with photonic Dirac cones
journal, June 2012

  • Bravo-Abad, J.; Joannopoulos, J. D.; Soljacic, M.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 25, p. 9761-9765
  • DOI: 10.1073/pnas.1207335109

Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
journal, March 2011


Observation of large topologically trivial Fermi arcs in the candidate type-II Weyl semimetal WT e 2
journal, September 2016


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


Chiral anomaly and transport in Weyl metals
journal, February 2015


Negative longitudinal magnetoresistance in Dirac and Weyl metals
journal, June 2015


Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011


Topological nodal semimetals
journal, December 2011


Anomalous Hall Effect in Weyl Metals
journal, October 2014


Topological semimetals
journal, October 2016


Z 2 and Chiral Anomalies in Topological Dirac Semimetals
journal, September 2016


Observation of surface superstructure induced by systematic vacancies in the topological Dirac semimetal Cd 3 As 2
journal, February 2017


Magnetism and heavy fermion‐like behavior in the RBiPt series
journal, November 1991

  • Canfield, P. C.; Thompson, J. D.; Beyermann, W. P.
  • Journal of Applied Physics, Vol. 70, Issue 10
  • DOI: 10.1063/1.350141

Chiral anomaly factory: Creating Weyl fermions with a magnetic field
journal, April 2017


Landau level splitting in Cd3As2 under high magnetic fields
journal, July 2015

  • Cao, Junzhi; Liang, Sihang; Zhang, Cheng
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8779

Energy-band structure of Cd 3 As 2 at low temperatures and the dependence of the direct gap on temperature and pressure
journal, April 1977


Semimetal and Topological Insulator in Perovskite Iridates
journal, March 2012


Half-Heusler compounds: novel materials for energy and spintronic applications
journal, April 2012


Tunable multifunctional topological insulators in ternary Heusler compounds
journal, May 2010

  • Chadov, Stanislav; Qi, Xiaoliang; Kübler, Jürgen
  • Nature Materials, Vol. 9, Issue 7
  • DOI: 10.1038/nmat2770

When Chiral Photons Meet Chiral Fermions: Photoinduced Anomalous Hall Effects in Weyl Semimetals
journal, January 2016


Photocurrents in Weyl semimetals
journal, January 2017


Signatures of Fermi Arcs in the Quasiparticle Interferences of the Weyl Semimetals TaAs and NbP
journal, February 2016


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

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


Prediction of an arc-tunable Weyl Fermion metallic state in MoxW1−xTe2
journal, February 2016

  • Chang, Tay-Rong; Xu, Su-Yang; Chang, Guoqing
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10639

Optical investigation of the strong spin-orbit-coupled magnetic semimetal YbMnBi 2
journal, August 2017


Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi 2 Se 3
journal, May 2011


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

Optical spectroscopy study of the three-dimensional Dirac semimetal ZrTe 5
journal, August 2015


Recent progress of half-Heusler for moderate temperature thermoelectric applications
journal, October 2013


Topological crystalline semimetals in nonsymmorphic lattices
journal, April 2016


Nanostructured Carbon Allotropes with Weyl-like Loops and Points
journal, September 2015


Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3
journal, June 2009


Dielectric anomalies and interactions in the three-dimensional quadratic band touching Luttinger semimetal Pr2Ir2O7
journal, December 2017


Condensed matter realization of the axial magnetic effect
journal, February 2014


Electrodynamic response of the type-II Weyl semimetal YbMnBi 2
journal, December 2016


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


Linear magnetochiral effect in Weyl semimetals
journal, December 2016


Magnetic-field-induced nonlinear optical responses in inversion symmetric Dirac semimetals
journal, December 2016


Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003

  • Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
  • Reviews of Modern Physics, Vol. 75, Issue 2
  • DOI: 10.1103/RevModPhys.75.473

Existence of Dirac cones in the Brillouin zone of diperiodic atomic crystals according to group theory
journal, February 2016


Weyl semimetal and superconductor designed in an orbital-selective superlattice
journal, July 2013


Charge transport in gapless electron-hole systems with arbitrary band dispersion
journal, May 2015


Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017

  • de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15995

Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
journal, September 2016

  • Deng, Ke; Wan, Guoliang; Deng, Peng
  • Nature Physics, Vol. 12, Issue 12
  • DOI: 10.1038/nphys3871

The Quantum Theory of the Electron
journal, February 1928

  • Dirac, P. A. M.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 117, Issue 778
  • DOI: 10.1098/rspa.1928.0023

All-in–all-Out Magnetic Order and Propagating Spin Waves in Sm 2 Ir 2 O 7
journal, July 2016


On the search for the chiral anomaly in Weyl semimetals: the negative longitudinal magnetoresistance
journal, August 2016


Large unsaturated positive and negative magnetoresistance in Weyl semimetal TaP
journal, February 2016

  • Du, JianHua; Wang, HangDong; Chen, Qin
  • Science China Physics, Mechanics & Astronomy, Vol. 59, Issue 5
  • DOI: 10.1007/s11433-016-5798-4

Dirac and Weyl Semimetal in XYBi (X = Ba, Eu; Y = Cu, Ag and Au)
journal, September 2015

  • Du, Yongping; Wan, Bo; Wang, Di
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep14423

Weyl Points in Three-Dimensional Optical Lattices: Synthetic Magnetic Monopoles in Momentum Space
journal, June 2015


Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups
journal, October 1954


Colloquium : Majorana fermions in nuclear, particle, and solid-state physics
journal, February 2015


Magnetoelectric Polarizability and Axion Electrodynamics in Crystalline Insulators
journal, April 2009


Electronic structure of Na 3 Sb and Na 2 KSb
journal, April 2000


Loop-Nodal and Point-Nodal Semimetals in Three-Dimensional Honeycomb Lattices
journal, March 2016


Topological nodal line semimetals with and without spin-orbital coupling
journal, August 2015


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


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

The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
journal, October 2003


Large linear magnetoresistance in Dirac semimetal Cd 3 As 2 with Fermi surfaces close to the Dirac points
journal, August 2015


Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors
journal, January 1991

  • Fisher, Daniel S.; Fisher, Matthew P. A.; Huse, David A.
  • Physical Review B, Vol. 43, Issue 1
  • DOI: 10.1103/PhysRevB.43.130

Quantum critical transport in clean graphene
journal, August 2008


Topological insulators with inversion symmetry
journal, July 2007


Topological Insulators in Three Dimensions
journal, March 2007


All-in-all-out magnetic domain wall conduction in a pyrochlore iridate heterointerface
journal, February 2016


Constructing a Weyl semimetal by stacking one-dimensional topological phases
journal, March 2015


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

Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry
journal, May 2016


Graphene prehistory
journal, January 2012


Three-dimensional Dirac semimetals: Design principles and predictions of new materials
journal, May 2015


Thermodynamic and transport properties of the non-centrosymmetric superconductor LaBiPt
journal, April 2008


Origin of dissipative Fermi arc transport in Weyl semimetals
journal, June 2016


Chiral degeneracies and Fermi-surface Chern numbers in bcc Fe
journal, August 2015


Quantum Criticality between Topological and Band Insulators in 3 + 1 Dimensions
journal, November 2011


Axial anomaly and longitudinal magnetoresistance of a generic three-dimensional metal
journal, August 2015


Competing orders and topology in the global phase diagram of pyrochlore iridates
journal, February 2017


Axionic field theory of ( 3 + 1 ) -dimensional Weyl semimetals
journal, December 2013


Consequences of a condensed matter realization of Lorentz-violating QED in Weyl semi-metals
journal, August 2012


Dielectric function in HgTe between 8 and 300°K
journal, January 1974


Direct determination of the spin structure of Nd 2 Ir 2 O 7 by means of neutron diffraction
journal, October 2016


Imaging electronic states on topological semimetals using scanning tunneling microscopy
journal, October 2016


Holographic anomalous conductivities and the chiral magnetic effect
journal, February 2011

  • Gynther, Antti; Landsteiner, Karl; Pena-Benitez, Francisco
  • Journal of High Energy Physics, Vol. 2011, Issue 2
  • DOI: 10.1007/JHEP02(2011)110

Imaging topological edge states in silicon photonics
journal, October 2013


Time-reversal invariant realization of the Weyl semimetal phase
journal, January 2012


Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
journal, January 2008


Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Possible States for a Three-Dimensional Electron Gas in a Strong Magnetic Field
journal, January 1987


Colloquium: Topological insulators
journal, November 2010


Discovery of Weyl Fermion Semimetals and Topological Fermi Arc States
journal, March 2017


Topological insulators, topological superconductors and Weyl fermion semimetals: discoveries, perspectives and outlooks
journal, September 2015


Experimental realization of type-II Weyl state in noncentrosymmetric TaIrTe 4
journal, June 2017


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


Flat bands in topological media
journal, October 2011


Topological Mott Insulator in Three-Dimensional Systems with Quadratic Band Touching
journal, September 2014


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


The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
journal, June 2016

  • Hirschberger, Max; Kushwaha, Satya; Wang, Zhijun
  • Nature Materials, Vol. 15, Issue 11
  • DOI: 10.1038/nmat4684

Interacting Dirac liquid in three-dimensional semimetals
journal, July 2015


Plasmon signature in Dirac-Weyl liquids
journal, June 2015


Surface plasmon polaritons in topological Weyl semimetals
journal, June 2016


Friedel oscillations due to Fermi arcs in Weyl semimetals
journal, November 2012


Time-reversal-invariant topological superconductivity in doped Weyl semimetals
journal, July 2014


Charge Transport in Weyl Semimetals
journal, January 2012


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


Tunable circular dichroism due to the chiral anomaly in Weyl semimetals
journal, February 2015


A topological Dirac insulator in a quantum spin Hall phase
journal, April 2008

  • Hsieh, D.; Qian, D.; Wray, L.
  • Nature, Vol. 452, Issue 7190, p. 970-974
  • DOI: 10.1038/nature06843

Midgap surface states as a novel signature for d x a 2 - x b 2 -wave superconductivity
journal, March 1994


π Berry phase and Zeeman splitting of Weyl semimetal TaP
journal, January 2016

  • Hu, J.; Liu, J. Y.; Graf, D.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep18674

Spectroscopic evidence for a type II Weyl semimetallic state in MoTe2
journal, July 2016

  • Huang, Lunan; McCormick, Timothy M.; Ochi, Masayuki
  • Nature Materials, Vol. 15, Issue 11
  • DOI: 10.1038/nmat4685

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

New type of Weyl semimetal with quadratic double Weyl fermions
journal, January 2016

  • Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 5
  • DOI: 10.1073/pnas.1514581113

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


Inversion-symmetric topological insulators
journal, June 2011


Hall quantization and optical conductivity evolution with variable Berry phase in the α T 3 model
journal, December 2015


Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
journal, March 2016


Continuous transition between antiferromagnetic insulator and paramagnetic metal in the pyrochlore iridate Eu 2 Ir 2 O 7
journal, June 2012


Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
journal, July 2015


Three-dimensional Dirac cone carrier dynamics in Na 3 Bi and Cd 3 As 2
journal, August 2016


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

Weyl semimetals, Fermi arcs and chiral anomalies
journal, October 2016

  • Jia, Shuang; Xu, Su-Yang; Hasan, M. Zahid
  • Nature Materials, Vol. 15, Issue 11
  • DOI: 10.1038/nmat4787

Signature of type-II Weyl semimetal phase in MoTe2
journal, January 2017

  • Jiang, J.; Liu, Z. K.; Sun, Y.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13973

Tunable topological Weyl semimetal from simple-cubic lattices with staggered fluxes
journal, March 2012


Topological Invariants of Metals and the Related Physical Effects
journal, February 2013


Study of the 18-electron band gap and ferromagnetism in semi-Heusler compounds by non-spin-polarized electronic band structure calculations
journal, August 2000

  • Jung, D.; Koo, H.-J.; Whangbo, M.-H.
  • Journal of Molecular Structure: THEOCHEM, Vol. 527, Issue 1-3, p. 113-119
  • DOI: 10.1016/S0166-1280(00)00483-8

Anomalous Hall Effect in Ferromagnetic Semiconductors
journal, May 2002


Nobel Lecture: Discovery of atmospheric neutrino oscillations
journal, July 2016


Covalent bonding and the nature of band gaps in some half-Heusler compounds
journal, February 2006

  • Kandpal, Hem Chandra; Felser, Claudia; Seshadri, Ram
  • Journal of Physics D: Applied Physics, Vol. 39, Issue 5
  • DOI: 10.1088/0022-3727/39/5/S02

Quantum Spin Hall Effect in Graphene
journal, November 2005


Band structure of indium antimonide
journal, January 1957


Are the surface Fermi arcs in Dirac semimetals topologically protected?
journal, July 2016

  • Kargarian, Mehdi; Randeria, Mohit; Lu, Yuan-Ming
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 31
  • DOI: 10.1073/pnas.1524787113

Theory of Kerr and Faraday rotations and linear dichroism in Topological Weyl Semimetals
journal, August 2015

  • Kargarian, Mehdi; Randeria, Mohit; Trivedi, Nandini
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep12683

Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca 3 PbO and Its Family
journal, August 2011

  • Kariyado, Toshikaze; Ogata, Masao
  • Journal of the Physical Society of Japan, Vol. 80, Issue 8
  • DOI: 10.1143/JPSJ.80.083704

Hall Effect in Ferromagnetics
journal, September 1954


Photonic topological insulators
journal, December 2012

  • Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong
  • Nature Materials, Vol. 12, Issue 3
  • DOI: 10.1038/nmat3520

The Chiral Magnetic Effect and anomaly-induced transport
journal, March 2014


Anomaly induced chiral magnetic current in a Weyl semimetal: Chiral electronics
journal, September 2013


Dirac versus Weyl Fermions in Topological Insulators: Adler-Bell-Jackiw Anomaly in Transport Phenomena
journal, December 2013


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


Giant Anomalous Hall Effect in the Chiral Antiferromagnet Mn 3 Ge
journal, June 2016


Quantum oscillations and the Fermi surface topology of the Weyl semimetal NbP
journal, March 2016


Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
journal, January 2014


TaIrTe 4 : A ternary type-II Weyl semimetal
journal, May 2016


Theory of the Insulating State
journal, January 1964


Quadratic Fermi node in a 3D strongly correlated semimetal
journal, December 2015

  • Kondo, Takeshi; Nakayama, M.; Chen, R.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms10042

Magnetic susceptibility in three-dimensional nodal semimetals
journal, January 2016


Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
journal, September 2014


Non-collinear antiferromagnets and the anomalous Hall effect
journal, December 2014


Universal Optical Conductance of Graphite
journal, March 2008


Linear magnetoresistance of potassium
journal, September 1970


Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP
journal, December 2015


RKKY Interactions and the Anomalous Hall Effect in Metallic Rare-Earth Pyrochlores
journal, November 2013


A theoretical description of the new phases of liquid He 3
journal, April 1975


Fractional Topological Insulators
journal, November 2009


Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
journal, December 2015

  • Li, Cai-Zhen; Wang, Li-Xian; Liu, Haiwen
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms10137

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

Negative magnetoresistance in Dirac semimetal Cd3As2
journal, January 2016

  • Li, Hui; He, Hongtao; Lu, Hai-Zhou
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10301

Chiral magnetic effect in ZrTe5
journal, February 2016

  • Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
  • Nature Physics, Vol. 12, Issue 6
  • DOI: 10.1038/nphys3648

Weyl fermions with arbitrary monopoles in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
journal, November 2016


Exotic topological density waves in cold atomic Rydberg-dressed fermions
journal, May 2015

  • Li, Xiaopeng; Sarma, S. Das
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8137

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
journal, November 2014

  • Liang, Tian; Gibson, Quinn; Ali, Mazhar N.
  • Nature Materials, Vol. 14, Issue 3
  • DOI: 10.1038/nmat4143

A pressure-induced topological phase with large Berry curvature in Pb 1− x Sn x Te
journal, May 2017


Half-Heusler ternary compounds as new multifunctional experimental platforms for topological quantum phenomena
journal, May 2010

  • Lin, Hsin; Wray, L. Andrew; Xia, Yuqi
  • Nature Materials, Vol. 9, Issue 7
  • DOI: 10.1038/nmat2771

Topological phase transitions in (Bi 1 x In x ) 2 Se 3 and (Bi 1 x Sb x ) 2 Se 3
journal, December 2013


Weyl semimetals from noncentrosymmetric topological insulators
journal, October 2014


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

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


Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family
journal, November 2015

  • Liu, Z. K.; Yang, L. X.; Sun, Y.
  • Nature Materials, Vol. 15, Issue 1
  • DOI: 10.1038/nmat4457

On the disorder-driven quantum transition in three-dimensional relativistic metals
journal, December 2016


Weak antilocalization and localization in disordered and interacting Weyl semimetals
journal, July 2015


Topological photonics
journal, October 2014


Experimental observation of Weyl points
journal, July 2015


Thermoelectric properties of Weyl and Dirac semimetals
journal, October 2014


Anomalous electronic structure and magnetoresistance in TaAs2
journal, June 2016

  • Luo, Yongkang; McDonald, R. D.; Rosa, P. F. S.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep27294

Quantum Theory of Cyclotron Resonance in Semiconductors: General Theory
journal, May 1956


Observation of Fermi-Arc Spin Texture in TaAs
journal, November 2015


Experimental Discovery of Weyl Semimetal TaAs
journal, July 2015


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 three-component fermions in the topological semimetal molybdenum phosphide
journal, June 2017


Mobile metallic domain walls in an all-in-all-out magnetic insulator
journal, October 2015


Chiral magnetic effect and natural optical activity in metals with or without Weyl points
journal, December 2015


Unconventional Anomalous Hall Effect Enhanced by a Noncoplanar Spin Texture in the Frustrated Kondo Lattice Pr 2 Ir 2 O 7
journal, January 2007


Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order
journal, December 2009

  • Machida, Yo; Nakatsuji, Satoru; Onoda, Shigeki
  • Nature, Vol. 463, Issue 7278
  • DOI: 10.1038/nature08680

Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
journal, July 2015


Existence of bulk chiral fermions and crystal symmetry
journal, April 2012


Global topology of Weyl semimetals and Fermi arcs
journal, February 2017

  • Mathai, Varghese; Thiang, Guo Chuan
  • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 11
  • DOI: 10.1088/1751-8121/aa59b2

Metal–Insulator Transition in Pyrochlore Iridates Ln 2 Ir 2 O 7 ( Ln = Nd, Sm, and Eu)
journal, April 2007

  • Matsuhira, Kazuyuki; Wakeshima, Makoto; Nakanishi, Ryo
  • Journal of the Physical Society of Japan, Vol. 76, Issue 4
  • DOI: 10.1143/JPSJ.76.043706

Minimal models for topological Weyl semimetals
journal, February 2017


Nobel Lecture: The Sudbury Neutrino Observatory: Observation of flavor change for solar neutrinos
journal, July 2016


Weyl superconductors
journal, August 2012


Connectivity of energy bands in crystals
journal, March 1999


Manifestation of Berry's Phase in Metal Physics
journal, March 1999


Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2
journal, July 2016

  • Moll, Philip J. W.; Nair, Nityan L.; Helm, Toni
  • Nature, Vol. 535, Issue 7611
  • DOI: 10.1038/nature18276

Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores
journal, October 2016


Non-Fermi-Liquid and Topological States with Strong Spin-Orbit Coupling
journal, November 2013


Confinement-Induced Berry Phase and Helicity-Dependent Photocurrents
journal, July 2010


Topological invariants of time-reversal-invariant band structures
journal, March 2007


Weyl and Dirac semimetals with Z 2 topological charge
journal, June 2014


Topological nature of nonlinear optical effects in solids
journal, May 2016


Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
journal, December 2016


Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
journal, April 2012


Topological Insulators from a Chemist’s Perspective
journal, June 2012

  • Müchler, Lukas; Zhang, Haijun; Chadov, Stanislav
  • Angewandte Chemie International Edition, Vol. 51, Issue 29
  • DOI: 10.1002/anie.201202480

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

Tuning phase transition between quantum spin Hall and ordinary insulating phases
journal, November 2007


Universal phase diagrams for the quantum spin Hall systems
journal, October 2008


Berry Phase in Magnetic Superconductors
journal, February 2003


Detection of Berry's Phase in a Bulk Rashba Semiconductor
journal, December 2013


Anomalous Hall effect
journal, May 2010


Fine Structure Constant Defines Visual Transparency of Graphene
journal, June 2008


Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature
journal, October 2015

  • Nakatsuji, Satoru; Kiyohara, Naoki; Higo, Tomoya
  • Nature, Vol. 527, Issue 7577
  • DOI: 10.1038/nature15723

Metallic Spin-Liquid Behavior of the Geometrically Frustrated Kondo Lattice Pr 2 Ir 2 O 7
journal, March 2006


Slater to Mott Crossover in the Metal to Insulator Transition of Nd 2 Ir 2 O 7
journal, July 2016


Weyl and Dirac loop superconductors
journal, January 2016


Rare region effects dominate weakly disordered three-dimensional Dirac points
journal, June 2014


Disorder-driven destruction of a non-Fermi liquid semimetal studied by renormalization group analysis
journal, May 2017


Topological Tuning in Three-Dimensional Dirac Semimetals
journal, December 2014


Linear Magnetoresistance Caused by Mobility Fluctuations in n -Doped Cd 3 As 2
journal, March 2015


Dirac dispersion in photonic hypercrystals
journal, January 2015


The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109

Interband optical conductivity of the [001]-oriented Dirac semimetal Cd 3 As 2
journal, March 2016


Observation of topological nodal fermion semimetal phase in ZrSiS
journal, May 2016


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


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

Large linear magnetoresistance in the Dirac semimetal TlBiSSe
journal, January 2015


Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

  • Novoselov, K. S.; Geim, A. K.; Morozov, S. V.
  • Nature, Vol. 438, Issue 7065, p. 197-200
  • DOI: 10.1038/nature04233

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004


Magnetic Breakdown and Klein Tunneling in a Type-II Weyl Semimetal
journal, June 2016


Enhanced photogalvanic current in topological insulators via Fermi energy tuning
journal, February 2016


Magnetotransport in Weyl semimetals in the quantum limit: Role of topological surface states
journal, June 2016


Dirac electronic states in graphene systems: optical spectroscopy studies
journal, April 2010


Observation of three-dimensional massless Kane fermions in a zinc-blende crystal
journal, January 2014

  • Orlita, M.; Basko, D. M.; Zholudev, M. S.
  • Nature Physics, Vol. 10, Issue 3
  • DOI: 10.1038/nphys2857

Absence of helical surface states in bulk semimetals with broken inversion symmetry
journal, March 2014


Probing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals
journal, September 2014


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

Non-saturating magnetoresistance in heavily disordered semiconductors
journal, November 2003


Aharonov–Bohm interference in topological insulator nanoribbons
journal, December 2009

  • Peng, Hailin; Lai, Keji; Kong, Desheng
  • Nature Materials, Vol. 9, Issue 3
  • DOI: 10.1038/nmat2609

Single-particle excitations in disordered Weyl fluids
journal, June 2017


Anderson Localization and the Quantum Phase Diagram of Three Dimensional Disordered Dirac Semimetals
journal, August 2015


Disorder-driven itinerant quantum criticality of three-dimensional massless Dirac fermions
journal, February 2016


Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals
journal, June 2016


The role of vacancies in the band structure of Cd3As2
journal, May 1984


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

Topological field theory of time-reversal invariant insulators
journal, November 2008

  • Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
  • Physical Review B, Vol. 78, Issue 19, Article No. 195424
  • DOI: 10.1103/PhysRevB.78.195424

Topological invariants for the Fermi surface of a time-reversal-invariant superconductor
journal, April 2010


Topological insulators and superconductors
journal, October 2011


Quantum Oscillations and Hall Anomaly of Surface States in the Topological Insulator Bi2Te3
journal, July 2010


Photonic Floquet topological insulators
journal, April 2013

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

Mechanical Weyl Modes in Topological Maxwell Lattices
journal, April 2016


Dynamics of electric transport in interacting Weyl semimetals
journal, July 2013


Universal optical conductivity of a disordered Weyl semimetal
journal, August 2016

  • Roy, Bitan; Juričić, Vladimir; Das Sarma, Sankar
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep32446

Topological phases and the quantum spin Hall effect in three dimensions
journal, May 2009


Symmetry-protected ideal Weyl semimetal in HgTe-class materials
journal, April 2016

  • Ruan, Jiawei; Jian, Shao-Kai; Yao, Hong
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11136

Ideal Weyl Semimetals in the Chalcopyrites CuTlSe 2 , AgTlTe 2 , AuTlTe 2 , and ZnPbAs 2
journal, June 2016


Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010


Gate-tuned normal and superconducting transport at the surface of a topological insulator
journal, September 2011

  • Sacépé, Benjamin; Oostinga, Jeroen B.; Li, Jian
  • Nature Communications, Vol. 2, Issue 1
  • DOI: 10.1038/ncomms1586

Finite-Size and Composition-Driven Topological Phase Transition in (Bi 1– x In x ) 2 Se 3 Thin Films
journal, August 2016


Photoemission of Bi 2 Se 3 with Circularly Polarized Light: Probe of Spin Polarization or Means for Spin Manipulation?
journal, March 2014


Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
journal, August 2011

  • Sato, T.; Segawa, Kouji; Kosaka, K.
  • Nature Physics, Vol. 7, Issue 11
  • DOI: 10.1038/nphys2058

Quantum critical exponents for a disordered three-dimensional Weyl node
journal, September 2015


Valleytronics in 2D materials
journal, August 2016


Consistent Interpretation of the Low-Temperature Magnetotransport in Graphite Using the Slonczewski-Weiss-McClure 3D Band-Structure Calculations
journal, April 2009


Topological surface states in nodal superconductors
journal, May 2015


Topological phases and surface flat bands in superconductors without inversion symmetry
journal, August 2011


Paramagnetic to ferromagnetic phase transition in lightly Fe-doped Cr 2 B
journal, June 2014


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

Condensed-Matter Simulation of a Three-Dimensional Anomaly
journal, December 1984


Berry phase and band structure analysis of the Weyl semimetal NbP
journal, September 2016

  • Sergelius, Philip; Gooth, Johannes; Bäßler, Svenja
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep33859

Photoconductivity in Dirac materials
journal, November 2015


Phase diagrams of disordered Weyl semimetals
journal, February 2016


Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
journal, May 2012

  • Sheckelton, J. P.; Neilson, J. R.; Soltan, D. G.
  • Nature Materials, Vol. 11, Issue 6
  • DOI: 10.1038/nmat3329

Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal candidate NbP
journal, June 2015

  • Shekhar, Chandra; Nayak, Ajaya K.; Sun, Yan
  • Nature Physics, Vol. 11, Issue 8
  • DOI: 10.1038/nphys3372

A spin filter transistor made of topological Weyl semimetal
journal, September 2015

  • Shi, Zhangsheng; Wang, Maoji; Wu, Jiansheng
  • Applied Physics Letters, Vol. 107, Issue 10
  • DOI: 10.1063/1.4930875

Phase Diagram of Pyrochlore Iridates: All-in–All-out Magnetic Ordering and Non-Fermi-Liquid Properties
journal, October 2015


Magnetoresistance of potassium
journal, July 1973


Pressure-induced topological phases of KNa2Bi
journal, April 2016

  • Sklyadneva, I. Yu.; Rusinov, I. P.; Heid, R.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep24137

Route towards Dirac and Weyl antiferromagnetic spintronics (Phys. Status Solidi RRL 4/2017)
journal, April 2017

  • Šmejkal, Libor; Jungwirth, Tomáš; Sinova, Jairo
  • physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 4
  • DOI: 10.1002/pssr.201770317

Electric Control of Dirac Quasiparticles by Spin-Orbit Torque in an Antiferromagnet
journal, March 2017


Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
journal, November 2015


Type-II Weyl semimetals
journal, November 2015

  • Soluyanov, Alexey A.; Gresch, Dominik; Wang, Zhijun
  • Nature, Vol. 527, Issue 7579
  • DOI: 10.1038/nature15768

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


Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
journal, November 2012


Spin Polarization of Gapped Dirac Surface States Near the Topological Phase Transition in TlBi ( S 1 x Se x ) 2
journal, November 2012


Direct observation of nonequivalent Fermi-arc states of opposite surfaces in the noncentrosymmetric Weyl semimetal NbP
journal, April 2016


Magnetotransport phenomena related to the chiral anomaly in Weyl semimetals
journal, February 2016


Anomalous Longitudinal Magnetoresistance of Metal Single Crystals
journal, March 1955


The crystal structure of Cd3As2
journal, August 1968

  • Steigmann, G. A.; Goodyear, J.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 24, Issue 8
  • DOI: 10.1107/S0567740868003705

Bulk Dirac Points in Distorted Spinels
journal, January 2014


Topological semimetal in a fermionic optical lattice
journal, November 2011

  • Sun, Kai; Liu, W. Vincent; Hemmerich, Andreas
  • Nature Physics, Vol. 8, Issue 1
  • DOI: 10.1038/nphys2134

Prediction of Weyl semimetal in orthorhombic MoTe 2
journal, October 2015


Topological surface states and Fermi arcs of the noncentrosymmetric Weyl semimetals TaAs, TaP, NbAs, and NbP
journal, September 2015


Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
journal, June 1999


Instabilities of Weyl loop semimetals
journal, November 2016


Optical evidence for a Weyl semimetal state in pyrochlore Eu 2 Ir 2 O 7
journal, December 2015


Large anomalous Hall effect in a half-Heusler antiferromagnet
journal, July 2016

  • Suzuki, T.; Chisnell, R.; Devarakonda, A.
  • Nature Physics, Vol. 12, Issue 12
  • DOI: 10.1038/nphys3831

Electron transport in nodal-line semimetals
journal, October 2017


Emergent Weyl excitations in systems of polar particles
journal, December 2016

  • Syzranov, Sergey V.; Wall, Michael L.; Zhu, Bihui
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13543

Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
journal, April 2016


Critical Transport in Weakly Disordered Semiconductors and Semimetals
journal, April 2015


Optical conductivity of Weyl semimetals and signatures of the gapped semimetal phase transition
journal, February 2016


Optical and transport properties in three-dimensional Dirac and Weyl semimetals
journal, February 2016


Pressure-tuned insulator to metal transition in Eu 2 Ir 2 O 7
journal, May 2012


Dirac-node arc in the topological line-node semimetal HfSiS
journal, September 2016


Fermi Arcs and Their Topological Character in the Candidate Type-II Weyl Semimetal MoTe 2
journal, August 2016


Multiple Types of Topological Fermions in Transition Metal Silicides
journal, November 2017


Berry phase of nonideal Dirac fermions in topological insulators
journal, July 2011


Charge Carrier Interaction with a Purely Electronic Collective Mode: Plasmarons and the Infrared Response of Elemental Bismuth
journal, July 2007


Topological defects and gapless modes in insulators and superconductors
journal, September 2010


Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982


Field-induced quantum metal–insulator transition in the pyrochlore iridate Nd2Ir2O7
journal, November 2015

  • Tian, Zhaoming; Kohama, Yoshimitsu; Tomita, Takahiro
  • Nature Physics, Vol. 12, Issue 2
  • DOI: 10.1038/nphys3567

Three-dimensional Dirac fermions in quasicrystals as seen via optical conductivity
journal, June 2013


Quantum criticality in a metallic spin liquid
journal, March 2014

  • Tokiwa, Y.; Ishikawa, J. J.; Nakatsuji, S.
  • Nature Materials, Vol. 13, Issue 4
  • DOI: 10.1038/nmat3900

Quantum transport in Dirac materials: Signatures of tilted and anisotropic Dirac and Weyl cones
journal, March 2015


Quantized response and topology of magnetic insulators with inversion symmetry
journal, April 2012


Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
journal, August 2016


Anomalous domain-wall conductance in pyrochlore-type Nd 2 Ir 2 O 7 on the verge of the metal-insulator transition
journal, February 2014


Variation of Charge Dynamics in the Course of Metal-Insulator Transition for Pyrochlore-Type Nd 2 Ir 2 O 7
journal, September 2012


Pressure and magnetic field effects on metal-insulator transitions of bulk and domain wall states in pyrochlore iridates
journal, September 2015


Magnetic Field-Induced Insulator-Semimetal Transition in a Pyrochlore Nd 2 Ir 2 O 7
journal, July 2015


Magnetic-field induced multiple topological phases in pyrochlore iridates with Mott criticality
journal, May 2017

  • Ueda, Kentaro; Oh, Taekoo; Yang, Bohm-Jung
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15515

Artificial gauge field for photons in coupled cavity arrays
journal, October 2011


Dirac Fermions in Solids: From High-T c Cuprates and Graphene to Topological Insulators and Weyl Semimetals
journal, March 2014


Temperature and angular dependence of the anisotropic magnetoresistance in epitaxial Fe films
journal, March 2001


Electromagnetic Response of Weyl Semimetals
journal, July 2013


Free carrier reflectivity of gray tin single crystals
journal, January 1971


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


Magnetotransport study of Dirac fermions in YbMnBi 2 antiferromagnet
journal, October 2016


Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals
journal, August 2016


Observation of Fermi arc and its connection with bulk states in the candidate type-II Weyl semimetal WTe 2
journal, December 2016


Topological relation between bulk gap nodes and surface bound states: Application to iron-based superconductors
journal, September 2012


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


Aharonov–Bohm oscillations in Dirac semimetal Cd3As2 nanowires
journal, February 2016

  • Wang, Li-Xian; Li, Cai-Zhen; Yu, Da-Peng
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10769

Electron interactions, spin-orbit coupling, and intersite correlations in pyrochlore iridates
journal, January 2017


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

MoTe 2 : A Type-II Weyl Topological Metal
journal, July 2016


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


Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys
journal, November 2016


Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2
journal, September 2013


Helicity-protected ultrahigh mobility Weyl fermions in NbP
journal, March 2016


Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
journal, November 2015

  • Watanabe, Haruki; Po, Hoi Chun; Vishwanath, Ashvin
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 47
  • DOI: 10.1073/pnas.1514665112

Dirac materials
journal, January 2014


Transition-Metal Pentatelluride ZrTe 5 and HfTe 5 : A Paradigm for Large-Gap Quantum Spin Hall Insulators
journal, January 2014


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


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


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


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


Gravitation and the Electron
journal, April 1929


Double Dirac Semimetals in Three Dimensions
journal, May 2016


Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
journal, March 2014


Topological and magnetic phases of interacting electrons in the pyrochlore iridates
journal, January 2012


Graphite Carrier Locations and Quantum Transport to 10 T (100 kG)
journal, February 1971


Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry
journal, February 2013


A sudden collapse in the transport lifetime across the topological phase transition in (Bi1−xInx)2Se3
journal, June 2013

  • Wu, Liang; Brahlek, M.; Valdés Aguilar, R.
  • Nature Physics, Vol. 9, Issue 7
  • DOI: 10.1038/nphys2647

Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
journal, December 2016

  • Wu, Liang; Patankar, S.; Morimoto, T.
  • Nature Physics, Vol. 13, Issue 4
  • DOI: 10.1038/nphys3969

Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
journal, December 2016


Critical thickness for itinerant ferromagnetism in ultrathin films of SrRuO 3
journal, April 2009


Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
journal, May 2009

  • Xia, Y.; Qian, D.; Hsieh, D.
  • Nature Physics, Vol. 5, Issue 6, p. 398-402
  • DOI: 10.1038/nphys1274

Berry phase effects on electronic properties
journal, July 2010


Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
journal, December 2007


Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
journal, August 2010


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

Hyperbolic Weyl Point in Reciprocal Chiral Metamaterials
journal, July 2016


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

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

Evidence for the chiral anomaly in the Dirac semimetal Na3Bi
journal, September 2015


Optical spectroscopy of the Weyl semimetal TaAs
journal, March 2016


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


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

Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
journal, March 2011


Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015

  • Xu, Su-Yang; Alidoust, Nasser; Belopolski, Ilya
  • Nature Physics, Vol. 11, Issue 9
  • DOI: 10.1038/nphys3437

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


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

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


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


Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
journal, November 2014

  • Xu, Yang; Miotkowski, Ireneusz; Liu, Chang
  • Nature Physics, Vol. 10, Issue 12
  • DOI: 10.1038/nphys3140

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


Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic Insulator: Fate of Extinct Weyl Electrons
journal, May 2014


Topological Materials: Weyl Semimetals
journal, March 2017


Metal-Nonmetal Changeover in Pyrochlore Iridates
journal, October 2001

  • Yanagishima, Daiki; Maeno, Yoshiteru
  • Journal of the Physical Society of Japan, Vol. 70, Issue 10
  • DOI: 10.1143/JPSJ.70.2880

Topological charges of three-dimensional Dirac semimetals with rotation symmetry
journal, October 2015


Classification of stable three-dimensional Dirac semimetals with nontrivial topology
journal, September 2014

  • Yang, Bohm-Jung; Nagaosa, Naoto
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5898

Topological Weyl semimetals in the chiral antiferromagnetic materials Mn 3 Ge and Mn 3 Sn
journal, January 2017


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


Weyl semimetal phase in the non-centrosymmetric compound TaAs
journal, August 2015

  • Yang, L. X.; Liu, Z. K.; Sun, Y.
  • Nature Physics, Vol. 11, Issue 9
  • DOI: 10.1038/nphys3425

Dirac and Weyl Superconductors in Three Dimensions
journal, July 2014


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


Evidence of Topological Surface State in Three-Dimensional Dirac Semimetal Cd3As2
journal, August 2014

  • Yi, Hemian; Wang, Zhijun; Chen, Chaoyu
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep06106

An Anomalous Behavior of the Longitudinal Magnetoresistance in Semimetals
journal, August 1976

  • Yoshida, Katsukuni
  • Journal of the Physical Society of Japan, Vol. 41, Issue 2
  • DOI: 10.1143/JPSJ.41.574

Theoretical investigation of the evolution of the topological phase of Bi 2 Se 3 under mechanical strain
journal, August 2011


Dirac Semimetals in Two Dimensions
journal, September 2015


Dirac Semimetal in Three Dimensions
journal, April 2012


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


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


Observation of quasi-two-dimensional Dirac fermions in ZrTe5
journal, November 2016

  • Yuan, Xiang; Zhang, Cheng; Liu, Yanwen
  • NPG Asia Materials, Vol. 8, Issue 11
  • DOI: 10.1038/am.2016.166

Large magnetoresistance in compensated semimetals TaAs 2 and NbAs 2
journal, May 2016


Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
journal, February 2015

  • Zeljkovic, Ilija; Okada, Yoshinori; Serbyn, Maksym
  • Nature Materials, Vol. 14, Issue 3
  • DOI: 10.1038/nmat4215

Room-temperature chiral charge pumping in Dirac semimetals
journal, January 2017

  • Zhang, Cheng; Zhang, Enze; Wang, Weiyi
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13741

Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
journal, February 2016

  • Zhang, Cheng-Long; Xu, Su-Yang; Belopolski, Ilya
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10735

Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
journal, May 2009

  • Zhang, Haijun; Liu, Chao-Xing; Qi, Xiao-Liang
  • Nature Physics, Vol. 5, Issue 6, p. 438-442
  • DOI: 10.1038/nphys1270

Breakdown of three-dimensional Dirac semimetal state in pressurized C d 3 A s 2
journal, April 2015


Hidden spin polarization in inversion-symmetric bulk crystals
journal, April 2014

  • Zhang, Xiuwen; Liu, Qihang; Luo, Jun-Wei
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2933

Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals
journal, April 2016

  • Zhang, Yi; Bulmash, Daniel; Hosur, Pavan
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep23741

Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

  • Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L.
  • Nature, Vol. 438, Issue 7065, p. 201-204
  • DOI: 10.1038/nature04235

Anomalous Aharonov-Bohm Conductance Oscillations from Topological Insulator Surface States
journal, November 2010


Electronic evidence of temperature-induced Lifshitz transition and topological nature in ZrTe5
journal, May 2017

  • Zhang, Yan; Wang, Chenlu; Yu, Li
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15512

Atomic-Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy
journal, December 2015


Gyrotropic Magnetic Effect and the Magnetic Moment on the Fermi Surface
journal, February 2016


Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
journal, January 2015


Triple Point Topological Metals
journal, July 2016


Layer-By-Layer Entangled Spin-Orbital Texture of the Topological Surface State in Bi 2 Se 3
journal, May 2013


Topological response in Weyl semimetals and the chiral anomaly
journal, September 2012


Weyl semimetal with broken time reversal and inversion symmetries
journal, April 2012


Intrinsic anomalous Hall effect in type-II Weyl semimetals
journal, June 2016


Chiral electromagnetic waves in Weyl semimetals
journal, September 2015