Chiral magnetic effect without chirality source in asymmetric Weyl semimetals
Abstract
Here, we describe a new type of the Chiral Magnetic Effect (CME) that should occur inWeyl semimetals with an asymmetry in the dispersion relations of the left- and right-handed chiral Weyl fermions. In such materials, time-dependent pumping of electrons from a non-chiral external source can generate a non-vanishing chiral chemical potential. This is due to the different capacities of the left- and right-handed (LH and RH) chiral Weyl cones arising from the difference in the density of states in the LH and RH cones. The chiral chemical potential then generates, via the chiral anomaly, a current along the direction of an applied magnetic field even in the absence of an external electric field. The source of chirality imbalance in this new setup is thus due to the band structure of the system and the presence of (non-chiral) electron source, and not due to the parallel electric and magnetic fields. We illustrate the effect by an argument based on the effective field theory, and by the chiral kinetic theory calculation for a rotationally invariant Weyl semimetal with different Fermi velocities in the left and right chiral Weyl cones; we also consider the case of a Weyl semimetal with Weyl nodes atmore »
- Authors:
-
- Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States); Kyoto Univ., Kyoto (Japan)
- Univ. of Wurzburg, Wurzburg (Germany)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
- OSTI Identifier:
- 1462429
- Report Number(s):
- BNL-207868-2018-JAAM
Journal ID: ISSN 1434-6028; TRN: US1902171
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. B, Condensed Matter and Complex Systems
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 5; Journal ID: ISSN 1434-6028
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Solid State and Materials
Citation Formats
Kharzeev, Dmitri E., Kikuchi, Yuta, and Meyer, Rene. Chiral magnetic effect without chirality source in asymmetric Weyl semimetals. United States: N. p., 2018.
Web. doi:10.1140/epjb/e2018-80418-1.
Kharzeev, Dmitri E., Kikuchi, Yuta, & Meyer, Rene. Chiral magnetic effect without chirality source in asymmetric Weyl semimetals. United States. doi:10.1140/epjb/e2018-80418-1.
Kharzeev, Dmitri E., Kikuchi, Yuta, and Meyer, Rene. Thu .
"Chiral magnetic effect without chirality source in asymmetric Weyl semimetals". United States. doi:10.1140/epjb/e2018-80418-1. https://www.osti.gov/servlets/purl/1462429.
@article{osti_1462429,
title = {Chiral magnetic effect without chirality source in asymmetric Weyl semimetals},
author = {Kharzeev, Dmitri E. and Kikuchi, Yuta and Meyer, Rene},
abstractNote = {Here, we describe a new type of the Chiral Magnetic Effect (CME) that should occur inWeyl semimetals with an asymmetry in the dispersion relations of the left- and right-handed chiral Weyl fermions. In such materials, time-dependent pumping of electrons from a non-chiral external source can generate a non-vanishing chiral chemical potential. This is due to the different capacities of the left- and right-handed (LH and RH) chiral Weyl cones arising from the difference in the density of states in the LH and RH cones. The chiral chemical potential then generates, via the chiral anomaly, a current along the direction of an applied magnetic field even in the absence of an external electric field. The source of chirality imbalance in this new setup is thus due to the band structure of the system and the presence of (non-chiral) electron source, and not due to the parallel electric and magnetic fields. We illustrate the effect by an argument based on the effective field theory, and by the chiral kinetic theory calculation for a rotationally invariant Weyl semimetal with different Fermi velocities in the left and right chiral Weyl cones; we also consider the case of a Weyl semimetal with Weyl nodes at different energies. We argue that this effect is generically present in Weyl semimetals with different dispersion relations for LH and RH chiral Weyl cones, such as SrSi2 recently predicted as a Weyl semimetal with broken inversion and mirror symmetries, as long as the chiral relaxation time is much longer than the transport scattering time.},
doi = {10.1140/epjb/e2018-80418-1},
journal = {European Physical Journal. B, Condensed Matter and Complex Systems},
number = 5,
volume = 91,
place = {United States},
year = {2018},
month = {5}
}
Web of Science
Works referenced in this record:
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
Chiral anomaly and transport in Weyl metals
journal, February 2015
- Burkov, A. A.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 11
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
A topological investigation of the Quantum Adiabatic Phase
journal, September 1987
- Kiritsis, Elias
- Communications in Mathematical Physics, Vol. 111, Issue 3
Absence of neutrinos on a lattice
journal, July 1981
- Nielsen, H. B.; Ninomiya, M.
- Nuclear Physics B, Vol. 185, Issue 1
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
Classification of stable three-dimensional Dirac semimetals with nontrivial topology
journal, September 2014
- Yang, Bohm-Jung; Nagaosa, Naoto
- Nature Communications, Vol. 5, Issue 1
Room-temperature chiral charge pumping in Dirac semimetals
journal, January 2017
- Zhang, Cheng; Zhang, Enze; Wang, Weiyi
- Nature Communications, Vol. 8, Issue 1
The Chiral Magnetic Effect and anomaly-induced transport
journal, March 2014
- Kharzeev, Dmitri E.
- Progress in Particle and Nuclear Physics, Vol. 75
Anomalies and time reversal invariance in relativistic hydrodynamics: The second order and higher dimensional formulations
journal, August 2011
- Kharzeev, Dmitri E.; Yee, Ho-Ung
- Physical Review D, Vol. 84, Issue 4
Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation
journal, June 2013
- Chen, Jiunn-Wei; Pu, Shi; Wang, Qun
- Physical Review Letters, Vol. 110, Issue 26
The axial anomaly and the bound-state spectrum in confining theories
journal, January 1981
- Frishman, Y.; Schwimmer, A.; Banks, T.
- Nuclear Physics B, Vol. 177, Issue 1
Chiral Kinetic Theory
journal, October 2012
- Stephanov, M. A.; Yin, Y.
- Physical Review Letters, Vol. 109, Issue 16
Topological response in Weyl semimetals and the chiral anomaly
journal, September 2012
- Zyuzin, A. A.; Burkov, A. A.
- Physical Review B, Vol. 86, Issue 11
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
A no-go theorem for regularizing chiral fermions
journal, October 1981
- Nielsen, H. B.; Ninomiya, M.
- Physics Letters B, Vol. 105, Issue 2-3
Chiral magnetic conductivity
journal, August 2009
- Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review D, Vol. 80, Issue 3
Anatomy of the chiral magnetic effect in and out of equilibrium
journal, March 2017
- Kharzeev, Dmitri; Stephanov, Mikhail; Yee, Ho-Ung
- Physical Review D, Vol. 95, Issue 5
Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
journal, November 2012
- Son, Dam Thanh; Yamamoto, Naoki
- Physical Review Letters, Vol. 109, Issue 18
Chiral magnetic effect in ZrTe5
journal, February 2016
- Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
- Nature Physics, Vol. 12, Issue 6
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007
- Shuichi Murakami,
- New Journal of Physics, Vol. 9, Issue 9
Electromagnetic Response of Weyl Semimetals
journal, July 2013
- Vazifeh, M. M.; Franz, M.
- Physical Review Letters, Vol. 111, Issue 2
Chiral magnetic effect
journal, October 2008
- Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review D, Vol. 78, Issue 7
Absence of neutrinos on a lattice
journal, December 1981
- Nielsen, H. B.; Ninomiya, M.
- Nuclear Physics B, Vol. 193, Issue 1
Axionic field theory of -dimensional Weyl semimetals
journal, December 2013
- Goswami, Pallab; Tewari, Sumanta
- Physical Review B, Vol. 88, Issue 24
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
Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs
journal, April 2016
- Baireuther, P.; Hutasoit, J. A.; Tworzydło, J.
- New Journal of Physics, Vol. 18, Issue 4
Triangle anomaly in Weyl semimetals
journal, January 2014
- Başar, Gökçe; Kharzeev, Dmitri E.; Yee, Ho-Ung
- Physical Review B, Vol. 89, Issue 3