Chern numbers and chiral anomalies in Weyl butterflies
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1328247
- 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: 94 Journal Issue: 16; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Roy, Sthitadhi, Kolodrubetz, Michael, Moore, Joel E., and Grushin, Adolfo G. Chern numbers and chiral anomalies in Weyl butterflies. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.94.161107.
Roy, Sthitadhi, Kolodrubetz, Michael, Moore, Joel E., & Grushin, Adolfo G. Chern numbers and chiral anomalies in Weyl butterflies. United States. https://doi.org/10.1103/PhysRevB.94.161107
Roy, Sthitadhi, Kolodrubetz, Michael, Moore, Joel E., and Grushin, Adolfo G. Thu .
"Chern numbers and chiral anomalies in Weyl butterflies". United States. https://doi.org/10.1103/PhysRevB.94.161107.
@article{osti_1328247,
title = {Chern numbers and chiral anomalies in Weyl butterflies},
author = {Roy, Sthitadhi and Kolodrubetz, Michael and Moore, Joel E. and Grushin, Adolfo G.},
abstractNote = {},
doi = {10.1103/PhysRevB.94.161107},
journal = {Physical Review B},
number = 16,
volume = 94,
place = {United States},
year = {Thu Oct 06 00:00:00 EDT 2016},
month = {Thu Oct 06 00:00:00 EDT 2016}
}
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https://doi.org/10.1103/PhysRevB.94.161107
https://doi.org/10.1103/PhysRevB.94.161107
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Cited by: 12 works
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Works referenced in this record:
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
Quantum Criticality between Topological and Band Insulators in Dimensions
journal, November 2011
- Goswami, Pallab; Chakravarty, Sudip
- Physical Review Letters, Vol. 107, Issue 19
Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
journal, August 2015
- Huang, Xiaochun; Zhao, Lingxiao; Long, Yujia
- Physical Review X, Vol. 5, Issue 3
Integer quantum Hall effect in isotropic three-dimensional crystals
journal, May 2003
- Koshino, M.; Aoki, H.
- Physical Review B, Vol. 67, Issue 19
Many-body physics with ultracold gases
journal, July 2008
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- Reviews of Modern Physics, Vol. 80, Issue 3
Dirac versus Weyl Fermions in Topological Insulators: Adler-Bell-Jackiw Anomaly in Transport Phenomena
journal, December 2013
- Kim, Heon-Jung; Kim, Ki-Seok; Wang, J. -F.
- Physical Review Letters, Vol. 111, Issue 24
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
Realization and detection of Weyl semimetals and the chiral anomaly in cold atomic systems
journal, July 2016
- He, Wen-Yu; Zhang, Shizhong; Law, K. T.
- Physical Review A, Vol. 94, Issue 1
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
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
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
Quantum oscillations in Weyl and Dirac semimetal ultrathin films
journal, February 2016
- Bulmash, Daniel; Qi, Xiao-Liang
- Physical Review B, Vol. 93, Issue 8
Weyl semimetal with broken time reversal and inversion symmetries
journal, April 2012
- Zyuzin, A. A.; Wu, Si; Burkov, A. A.
- Physical Review B, Vol. 85, Issue 16
Transversal magnetoresistance in Weyl semimetals
journal, November 2015
- Klier, J.; Gornyi, I. V.; Mirlin, A. D.
- Physical Review B, Vol. 92, Issue 20
Bloch Oscillations of Atoms in an Optical Potential
journal, June 1996
- Ben Dahan, Maxime; Peik, Ekkehard; Reichel, Jakob
- Physical Review Letters, Vol. 76, Issue 24
Chiral spin liquids in arrays of spin chains
journal, June 2015
- Gorohovsky, Gregory; Pereira, Rodrigo G.; Sela, Eran
- Physical Review B, Vol. 91, Issue 24
Large linear magnetoresistance in Dirac semimetal with Fermi surfaces close to the Dirac points
journal, August 2015
- Feng, Junya; Pang, Yuan; Wu, Desheng
- Physical Review B, Vol. 92, Issue 8
Large magnetoresistance over an extended temperature regime in monophosphides of tantalum and niobium
journal, July 2015
- Zhang, Chenglong; Guo, Cheng; Lu, Hong
- Physical Review B, Vol. 92, Issue 4
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015
- Weng, Hongming; Fang, Chen; Fang, Zhong
- Physical Review X, Vol. 5, Issue 1
Anomalies in Quantum Field Theory
book, November 2000
- Bertlmann, Reinhold A.
- Oxford University Press
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
Phase diagram for the Hofstadter butterfly and integer quantum Hall effect in three dimensions
journal, January 2002
- Koshino, M.; Aoki, H.; Osada, T.
- Physical Review B, Vol. 65, Issue 4
Dirac Fermions in Solids: From High-T c Cuprates and Graphene to Topological Insulators and Weyl Semimetals
journal, March 2014
- Vafek, Oskar; Vishwanath, Ashvin
- Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
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
Observation of Weyl nodes in TaAs
journal, August 2015
- Lv, B. Q.; Xu, N.; Weng, H. M.
- Nature Physics, Vol. 11, Issue 9
Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates
journal, June 2012
- Aji, Vivek
- Physical Review B, Vol. 85, Issue 24
Integer quantum Hall effect and Hofstadter’s butterfly spectra in three-dimensional metals in external periodic modulations
journal, February 2004
- Koshino, Mikito; Aoki, Hideo
- Physical Review B, Vol. 69, Issue 8
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
Recent developments in transport phenomena in Weyl semimetals
journal, November 2013
- Hosur, Pavan; Qi, Xiaoliang
- Comptes Rendus Physique, Vol. 14, Issue 9-10
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
Realization of 2D Spin-Orbit Interaction and Exotic Topological Orders in Cold Atoms
journal, February 2014
- Liu, Xiong-Jun; Law, K. T.; Ng, T. K.
- Physical Review Letters, Vol. 112, Issue 8
Evidence for the chiral anomaly in the Dirac semimetal Na3Bi
journal, September 2015
- Xiong, J.; Kushwaha, S. K.; Liang, T.
- Science, Vol. 350, Issue 6259
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
Bulk crystal growth and electronic characterization of the 3D Dirac semimetal Na 3 Bi
journal, April 2015
- Kushwaha, Satya K.; Krizan, Jason W.; Feldman, Benjamin E.
- APL Materials, Vol. 3, Issue 4
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
journal, December 2014
- Aidelsburger, M.; Lohse, M.; Schweizer, C.
- Nature Physics, Vol. 11, Issue 2
Winding number, family index theorem, and electron hopping in a magnetic field
journal, April 1989
- Wen, X. G.; Zee, A.
- Nuclear Physics B, Vol. 316, Issue 3
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Probing superfluids in optical lattices by momentum-resolved Bragg spectroscopy
journal, November 2009
- Ernst, Philipp T.; Götze, Sören; Krauser, Jasper S.
- Nature Physics, Vol. 6, Issue 1
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
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
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014
- Liu, Z. K.; Zhou, B.; Zhang, Y.
- Science, Vol. 343, Issue 6173
Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011
- Burkov, A. A.; Balents, Leon
- Physical Review Letters, Vol. 107, Issue 12
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
Negative longitudinal magnetoresistance in Dirac and Weyl metals
journal, June 2015
- Burkov, A. A.
- Physical Review B, Vol. 91, Issue 24
Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014
- Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
- Nature, Vol. 515, Issue 7526
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
Hofstadter Butterfly and Integer Quantum Hall Effect in Three Dimensions
journal, February 2001
- Koshino, M.; Aoki, H.; Kuroki, K.
- Physical Review Letters, Vol. 86, Issue 6
Theory of quantised Hall conductivity in two dimensions
journal, August 1982
- Streda, P.
- Journal of Physics C: Solid State Physics, Vol. 15, Issue 22
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
Diophantine equation for the three-dimensional quantum Hall effect
journal, June 1992
- Kohmoto, Mahito; Halperin, Bertrand I.; Wu, Yong-Shi
- Physical Review B, Vol. 45, Issue 23
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
journal, January 2002
- Greiner, Markus; Mandel, Olaf; Esslinger, Tilman
- Nature, Vol. 415, Issue 6867
Experimental Realization of a Three-Dimensional Dirac Semimetal
journal, July 2014
- Borisenko, Sergey; Gibson, Quinn; Evtushinsky, Danil
- Physical Review Letters, Vol. 113, Issue 2
Quantum Transport Evidence for the Three-Dimensional Dirac Semimetal Phase in
journal, December 2014
- He, L. P.; Hong, X. C.; Dong, J. K.
- Physical Review Letters, Vol. 113, Issue 24
Disorder and Metal-Insulator Transitions in Weyl Semimetals
journal, December 2015
- Chen, Chui-Zhen; Song, Juntao; Jiang, Hua
- Physical Review Letters, Vol. 115, Issue 24
Chiral magnetic effect in ZrTe5
journal, February 2016
- Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
- Nature Physics, Vol. 12, Issue 6
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
Negative magnetoresistance in Dirac semimetal Cd3As2
journal, January 2016
- Li, Hui; He, Hongtao; Lu, Hai-Zhou
- Nature Communications, Vol. 7, Issue 1
Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
journal, October 2012
- Isobe, Hiroki; Nagaosa, Naoto
- Physical Review B, Vol. 86, Issue 16
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976
- Hofstadter, Douglas R.
- Physical Review B, Vol. 14, Issue 6
Anomalous transport of Weyl fermions in Weyl semimetals
journal, February 2014
- Landsteiner, Karl
- Physical Review B, Vol. 89, Issue 7
A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014
- Liu, Z. K.; Jiang, J.; Zhou, B.
- Nature Materials, Vol. 13, Issue 7
Axionic field theory of -dimensional Weyl semimetals
journal, December 2013
- Goswami, Pallab; Tewari, Sumanta
- Physical Review B, Vol. 88, Issue 24
Berry phase effects on electronic properties
journal, July 2010
- Xiao, Di; Chang, Ming-Che; Niu, Qian
- Reviews of Modern Physics, Vol. 82, Issue 3
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