Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly

Behrends, Jan; Roy, Sthitadhi; Kolodrubetz, Michael H.; Bardarson, Jens H.; Grushin, Adolfo G.

doi:10.1103/PhysRevB.99.140201

Title: Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly

Authors:: Behrends, Jan; Roy, Sthitadhi; Kolodrubetz, Michael H.; Bardarson, Jens H.; Grushin, Adolfo G.

Publication Date:: Mon Apr 01 00:00:00 EDT 2019

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

OSTI Identifier:: 1504535

Grant/Contract Number:: DEAC02-05CH11231

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 99 Journal Issue: 14; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Behrends, Jan, Roy, Sthitadhi, Kolodrubetz, Michael H., Bardarson, Jens H., and Grushin, Adolfo G. Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevB.99.140201.

Copy to clipboard


                    Behrends, Jan, Roy, Sthitadhi, Kolodrubetz, Michael H., Bardarson, Jens H., & Grushin, Adolfo G. Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly.  United States.  https://doi.org/10.1103/PhysRevB.99.140201

Copy to clipboard


                    Behrends, Jan, Roy, Sthitadhi, Kolodrubetz, Michael H., Bardarson, Jens H., and Grushin, Adolfo G. Mon .  
"Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly".  United States.  https://doi.org/10.1103/PhysRevB.99.140201.

Copy to clipboard


                    
@article{osti_1504535,

  title        = {Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly},

  author       = {Behrends, Jan and Roy, Sthitadhi and Kolodrubetz, Michael H. and Bardarson, Jens H. and Grushin, Adolfo G.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.99.140201},

  journal      = {Physical Review B},

  number       = 14,

  volume       = 99,

  place        = {United States},

  year         = {Mon Apr 01 00:00:00 EDT 2019},

  month        = {Mon Apr 01 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.99.140201

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 22 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Topological semimetals
journal, October 2016

Burkov, A. A.
Nature Materials, Vol. 15, Issue 11
DOI: 10.1038/nmat4788

Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
journal, March 2016

Cortijo, Alberto; Zubkov, M. A.
Annals of Physics, Vol. 366
DOI: 10.1016/j.aop.2016.01.006

Response properties of axion insulators and Weyl semimetals driven by screw dislocations and dynamical axion strings
journal, August 2016

You, Yizhi; Cho, Gil Young; Hughes, Taylor L.
Physical Review B, Vol. 94, Issue 8
DOI: 10.1103/PhysRevB.94.085102

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

Momentum creation by vortices in superfluid 3He as a model of primordial baryogenesis
journal, April 1997

Bevan, T. D. C.; Manninen, A. J.; Cook, J. B.
Nature, Vol. 386, Issue 6626
DOI: 10.1038/386689a0

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

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

Topological Imbert-Fedorov Shift in Weyl Semimetals
journal, October 2015

Jiang, Qing-Dong; Jiang, Hua; Liu, Haiwen
Physical Review Letters, Vol. 115, Issue 15
DOI: 10.1103/PhysRevLett.115.156602

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

Wang, Zhijun; Weng, Hongming; Wu, Quansheng
Physical Review B, Vol. 88, Issue 12
DOI: 10.1103/PhysRevB.88.125427

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

Grushin, Adolfo G.
Physical Review D, Vol. 86, Issue 4
DOI: 10.1103/PhysRevD.86.045001

Anomalies for pedestrians
journal, February 1993

Holstein, Barry R.
American Journal of Physics, Vol. 61, Issue 2
DOI: 10.1119/1.17328

Twisted Fermi surface of a thin-film Weyl semimetal
journal, February 2018

Bovenzi, N.; Breitkreiz, M.; O’Brien, T. E.
New Journal of Physics, Vol. 20, Issue 2
DOI: 10.1088/1367-2630/aaaa90

Quantum oscillations in Weyl and Dirac semimetal ultrathin films
journal, February 2016

Bulmash, Daniel; Qi, Xiao-Liang
Physical Review B, Vol. 93, Issue 8
DOI: 10.1103/PhysRevB.93.081103

Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP
journal, July 2017

Gooth, Johannes; Niemann, Anna C.; Meng, Tobias
Nature, Vol. 547, Issue 7663
DOI: 10.1038/nature23005

Exact Calculation of the Radiatively Induced Lorentz and $CPT$ Violation in QED
journal, September 1999

Pérez-Victoria, M.
Physical Review Letters, Vol. 83, Issue 13
DOI: 10.1103/PhysRevLett.83.2518

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

Chernodub, Maxim N.; Cortijo, Alberto; Grushin, Adolfo G.
Physical Review B, Vol. 89, Issue 8
DOI: 10.1103/PhysRevB.89.081407

Tunable axial gauge fields in engineered Weyl semimetals: semiclassical analysis and optical lattice implementations
journal, January 2018

Roy, Sthitadhi; Kolodrubetz, Michael; Goldman, Nathan
2D Materials, Vol. 5, Issue 2
DOI: 10.1088/2053-1583/aaa577

Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
journal, March 2017

Gorbar, E. V.; Miransky, V. A.; Shovkovy, I. A.
Physical Review Letters, Vol. 118, Issue 12
DOI: 10.1103/PhysRevLett.118.127601

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

Anomalies in Quantum Field Theory
book, November 2000

Bertlmann, Reinhold A.
Oxford University Press
DOI: 10.1093/acprof:oso/9780198507628.001.0001

Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
journal, September 2015

Zubkov, M. A.
Annals of Physics, Vol. 360
DOI: 10.1016/j.aop.2015.05.032

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

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

Bell, J. S.; Jackiw, R.
Il Nuovo Cimento A, Vol. 60, Issue 1
DOI: 10.1007/BF02823296

Gravitational anomalies and thermal Hall effect in topological insulators
journal, May 2012

Stone, Michael
Physical Review B, Vol. 85, Issue 18
DOI: 10.1103/PhysRevB.85.184503

Chiral Anomaly from Strain-Induced Gauge Fields in Dirac and Weyl Semimetals
journal, October 2016

Pikulin, D. I.; Chen, Anffany; Franz, M.
Physical Review X, Vol. 6, Issue 4
DOI: 10.1103/PhysRevX.6.041021

Emergent cpt Violation from the Splitting of Fermi Points
journal, May 2005

Klinkhamer, F. R.; Volovik, G. E.
International Journal of Modern Physics A, Vol. 20, Issue 13
DOI: 10.1142/S0217751X05020902

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

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

Torsion, parity-odd response, and anomalies in topological states
journal, November 2014

Parrikar, Onkar; Hughes, Taylor L.; Leigh, Robert G.
Physical Review D, Vol. 90, Issue 10
DOI: 10.1103/PhysRevD.90.105004

Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves
journal, May 2017

Gorbar, E. V.; Miransky, V. A.; Shovkovy, I. A.
Physical Review B, Vol. 95, Issue 20
DOI: 10.1103/PhysRevB.95.205141

Notes on Anomaly Induced Transport
journal, January 2016

Landsteiner, K.
Acta Physica Polonica B, Vol. 47, Issue 12
DOI: 10.5506/APhysPolB.47.2617

Topological responses from chiral anomaly in multi-Weyl semimetals
journal, August 2017

Huang, Ze-Min; Zhou, Jianhui; Shen, Shun-Qing
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/PhysRevB.96.085201

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

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

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
journal, April 2015

Miransky, Vladimir A.; Shovkovy, Igor A.
Physics Reports, Vol. 576
DOI: 10.1016/j.physrep.2015.02.003

Elastic Gauge Fields in Weyl Semimetals
journal, October 2015

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

Anomalous Ward Identities in Spinor Field Theories
journal, August 1969

Bardeen, William A.
Physical Review, Vol. 184, Issue 5
DOI: 10.1103/PhysRev.184.1848

Coexistence of Fermi arcs with two-dimensional gapless Dirac states
journal, March 2015

Grushin, Adolfo G.; Venderbos, Jörn W. F.; Bardarson, Jens H.
Physical Review B, Vol. 91, Issue 12
DOI: 10.1103/PhysRevB.91.121109

Confinement of quarks
journal, October 1974

Wilson, Kenneth G.
Physical Review D, Vol. 10, Issue 8
DOI: 10.1103/PhysRevD.10.2445

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Adler, Stephen L.
Physical Review, Vol. 177, Issue 5
DOI: 10.1103/PhysRev.177.2426

Anomaly cancellation in 2+1 dimensions in the presence of a domain wall mass
journal, February 1994

Chandrasekharan, Shailesh
Physical Review D, Vol. 49, Issue 4
DOI: 10.1103/PhysRevD.49.1980

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

Chiral viscoelastic response in Weyl semimetals
journal, November 2014

Sun, Liang; Wan, Shaolong
EPL (Europhysics Letters), Vol. 108, Issue 3
DOI: 10.1209/0295-5075/108/37007

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

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

Strain-induced chiral magnetic effect in Weyl semimetals
journal, December 2016

Cortijo, Alberto; Kharzeev, Dmitri; Landsteiner, Karl
Physical Review B, Vol. 94, Issue 24
DOI: 10.1103/PhysRevB.94.241405

Gravitational Anomaly and Transport Phenomena
journal, July 2011

Landsteiner, Karl; Megías, Eugenio; Pena-Benitez, Francisco
Physical Review Letters, Vol. 107, Issue 2
DOI: 10.1103/PhysRevLett.107.021601

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

Ominato, Yuya; Koshino, Mikito
Physical Review B, Vol. 93, Issue 24
DOI: 10.1103/PhysRevB.93.245304

Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels
journal, December 2016

Grushin, Adolfo G.; Venderbos, Jörn W. F.; Vishwanath, Ashvin
Physical Review X, Vol. 6, Issue 4
DOI: 10.1103/PhysRevX.6.041046

Electromagnetic Response of Weyl Semimetals
journal, July 2013

Vazifeh, M. M.; Franz, M.
Physical Review Letters, Vol. 111, Issue 2
DOI: 10.1103/PhysRevLett.111.027201

Anomalous transport of Weyl fermions in Weyl semimetals
journal, February 2014

Landsteiner, Karl
Physical Review B, Vol. 89, Issue 7
DOI: 10.1103/PhysRevB.89.075124

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

Zhou, Jian-Hui; Jiang, Hua; Niu, Qian
Chinese Physics Letters, Vol. 30, Issue 2
DOI: 10.1088/0256-307X/30/2/027101

Torsional Chiral Magnetic Effect in a Weyl Semimetal with a Topological Defect
journal, April 2016

Sumiyoshi, Hiroaki; Fujimoto, Satoshi
Physical Review Letters, Vol. 116, Issue 16
DOI: 10.1103/PhysRevLett.116.166601

Similar Records in DOE PAGES and OSTI.GOV collections:

Orbital Fingerprint of Topological Fermi Arcs in the Weyl Semimetal TaP

Journal Article Min, Chul-Hee ; Bentmann, Hendrik ; Neu, Jennifer N. ; ... - Physical Review Letters
Cited by 22
https://doi.org/10.1103/PhysRevLett.122.116402
Signatures of Fermi Arcs in the Quasiparticle Interferences of the Weyl Semimetals TaAs and NbP

Journal Article Chang, Guoqing ; Xu, Su-Yang ; Zheng, Hao ; ... - Physical Review Letters
Cited by 50
https://doi.org/10.1103/PhysRevLett.116.066601
Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2

Journal Article Deng, Ke ; Wan, Guoliang ; Deng, Peng ; ... - Nature Physics

Weyl semimetal is a new quantum state of matter hosting the condensed matter physics counterpart of the relativistic Weyl fermions originally introduced in high-energy physics. The Weyl semimetal phase realized in the TaAs class of materials features multiple Fermi arcs arising from topological surface states and exhibits novel quantum phenomena, such as a chiral anomaly-induced negative magnetoresistance and possibly emergent supersymmetry. Recently it was proposed theoretically that a new type (type-II) of Weyl fermion that arises due to the breaking of Lorentz invariance, which does not have a counterpart in high-energy physics, can emerge as topologically protected touching between electronmore »« less
https://doi.org/10.1038/nphys3871

Full Text Available
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class

Journal Article Huang, Shin-Ming ; Xu, Su-Yang ; Belopolski, Ilya ; ... - Nature Communications

Weyl fermions are massless chiral fermions that play an important role in quantum field theory but have never been observed as fundamental particles. A Weyl semimetal is an unusual crystal that hosts Weyl fermions as quasiparticle excitations and features Fermi arcs on its surface. Such a semimetal not only provides a condensed matter realization of the anomalies in quantum field theories but also demonstrates the topological classification beyond the gapped topological insulators. Here, we identify a topological Weyl semimetal state in the transition metal monopnictide materials class. Our first-principles calculations on TaAs reveal its bulk Weyl fermion cones and surfacemore »« less
https://doi.org/10.1038/ncomms8373

Full Text Available
Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs

Journal Article Xu, Su-Yang ; Belopolski, Ilya ; Sanchez, Daniel S. ; ... - Physical Review Letters

A Weyl semimetal is a new state of matter that hosts Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk-band degeneracy, called Weyl nodes, which are separated in momentum space and are connected only through the crystal’s boundary by an exotic Fermi arc surface state. Here, we experimentally measure the spin polarization of the Fermi arcs in the first experimentally discovered Weyl semimetal TaAs. Our spin data, for the first time, reveal that the Fermi arcs’ spin-polarization magnitude is as large as 80% and lies completely in the plane of the surface. Moreover,more »« less
Cited by 87
https://doi.org/10.1103/PhysRevLett.116.096801

Full Text Available

Similar Records

Title: Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly

Citation Formats

Topological semimetals journal, October 2016

Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations journal, March 2016

Response properties of axion insulators and Weyl semimetals driven by screw dislocations and dynamical axion strings journal, August 2016

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

Momentum creation by vortices in superfluid 3He as a model of primordial baryogenesis journal, April 1997

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

Topological Imbert-Fedorov Shift in Weyl Semimetals journal, October 2015

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

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

Anomalies for pedestrians journal, February 1993

Twisted Fermi surface of a thin-film Weyl semimetal journal, February 2018

Quantum oscillations in Weyl and Dirac semimetal ultrathin films journal, February 2016

Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP journal, July 2017

Exact Calculation of the Radiatively Induced Lorentz and CPT Violation in QED journal, September 1999

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

Tunable axial gauge fields in engineered Weyl semimetals: semiclassical analysis and optical lattice implementations journal, January 2018

Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons journal, March 2017

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

Anomalies in Quantum Field Theory book, November 2000

Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations journal, September 2015

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

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

Gravitational anomalies and thermal Hall effect in topological insulators journal, May 2012

Chiral Anomaly from Strain-Induced Gauge Fields in Dirac and Weyl Semimetals journal, October 2016

Emergent cpt Violation from the Splitting of Fermi Points journal, May 2005

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

Torsion, parity-odd response, and anomalies in topological states journal, November 2014

Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves journal, May 2017

Notes on Anomaly Induced Transport journal, January 2016

Topological responses from chiral anomaly in multi-Weyl semimetals journal, August 2017

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

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals journal, April 2015

Elastic Gauge Fields in Weyl Semimetals journal, October 2015

Anomalous Ward Identities in Spinor Field Theories journal, August 1969

Coexistence of Fermi arcs with two-dimensional gapless Dirac states journal, March 2015

Confinement of quarks journal, October 1974

Axial-Vector Vertex in Spinor Electrodynamics journal, January 1969

Anomaly cancellation in 2+1 dimensions in the presence of a domain wall mass journal, February 1994

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

Chiral viscoelastic response in Weyl semimetals journal, November 2014

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

Strain-induced chiral magnetic effect in Weyl semimetals journal, December 2016

Gravitational Anomaly and Transport Phenomena journal, July 2011

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

Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels journal, December 2016

Electromagnetic Response of Weyl Semimetals journal, July 2013

Anomalous transport of Weyl fermions in Weyl semimetals journal, February 2014

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

Torsional Chiral Magnetic Effect in a Weyl Semimetal with a Topological Defect journal, April 2016

Topological semimetals
journal, October 2016

Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
journal, March 2016

Response properties of axion insulators and Weyl semimetals driven by screw dislocations and dynamical axion strings
journal, August 2016

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

Momentum creation by vortices in superfluid 3He as a model of primordial baryogenesis
journal, April 1997

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

Topological Imbert-Fedorov Shift in Weyl Semimetals
journal, October 2015

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

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

Anomalies for pedestrians
journal, February 1993

Twisted Fermi surface of a thin-film Weyl semimetal
journal, February 2018

Quantum oscillations in Weyl and Dirac semimetal ultrathin films
journal, February 2016

Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP
journal, July 2017

Exact Calculation of the Radiatively Induced Lorentz and $CPT$ Violation in QED
journal, September 1999

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

Tunable axial gauge fields in engineered Weyl semimetals: semiclassical analysis and optical lattice implementations
journal, January 2018

Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
journal, March 2017

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

Anomalies in Quantum Field Theory
book, November 2000

Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
journal, September 2015

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

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

Gravitational anomalies and thermal Hall effect in topological insulators
journal, May 2012

Chiral Anomaly from Strain-Induced Gauge Fields in Dirac and Weyl Semimetals
journal, October 2016

Emergent cpt Violation from the Splitting of Fermi Points
journal, May 2005

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

Torsion, parity-odd response, and anomalies in topological states
journal, November 2014

Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves
journal, May 2017

Notes on Anomaly Induced Transport
journal, January 2016

Topological responses from chiral anomaly in multi-Weyl semimetals
journal, August 2017

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

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
journal, April 2015

Elastic Gauge Fields in Weyl Semimetals
journal, October 2015

Anomalous Ward Identities in Spinor Field Theories
journal, August 1969

Coexistence of Fermi arcs with two-dimensional gapless Dirac states
journal, March 2015

Confinement of quarks
journal, October 1974

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Anomaly cancellation in 2+1 dimensions in the presence of a domain wall mass
journal, February 1994

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

Chiral viscoelastic response in Weyl semimetals
journal, November 2014

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

Strain-induced chiral magnetic effect in Weyl semimetals
journal, December 2016

Gravitational Anomaly and Transport Phenomena
journal, July 2011

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

Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels
journal, December 2016

Electromagnetic Response of Weyl Semimetals
journal, July 2013

Anomalous transport of Weyl fermions in Weyl semimetals
journal, February 2014

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

Torsional Chiral Magnetic Effect in a Weyl Semimetal with a Topological Defect
journal, April 2016