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Title: 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 » 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.« less

Authors:
 [1];  [2];  [3]
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  1. Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States); Kyoto Univ., Kyoto (Japan)
  3. 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)
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. https://doi.org/10.1140/epjb/e2018-80418-1.
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Kharzeev, Dmitri E., Kikuchi, Yuta, & Meyer, Rene. Chiral magnetic effect without chirality source in asymmetric Weyl semimetals. United States. https://doi.org/10.1140/epjb/e2018-80418-1
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Kharzeev, Dmitri E., Kikuchi, Yuta, and Meyer, Rene. Thu . "Chiral magnetic effect without chirality source in asymmetric Weyl semimetals". United States. https://doi.org/10.1140/epjb/e2018-80418-1. https://www.osti.gov/servlets/purl/1462429.
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@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}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1140/epjb/e2018-80418-1
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Cited by: 1 work
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Figures / Tables:

Fig. 1 Fig. 1: Schematic band structures of the asymmetric WSM possessing a pair of Weyl cones with different Fermi velocities for left and right. Fermi-sea contribution is regularized by a cutoff −$E$0 determined by a bottom of the lower band. (a) Chirally balanced, i.e., equilibrium state with Fermi energy $E_{F}$ .more » (b) Chirally imbalanced, i.e., non equilibrium state with different Fermi energies $E_{F,L}$ and $E_{F,R}$ for left and right Weyl nodes.« less
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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
  • DOI: 10.1073/pnas.1514581113

Chiral anomaly and transport in Weyl metals
journal, February 2015

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

A topological investigation of the Quantum Adiabatic Phase
journal, September 1987

  • Kiritsis, Elias
  • Communications in Mathematical Physics, Vol. 111, Issue 3
  • DOI: 10.1007/BF01238907

Absence of neutrinos on a lattice
journal, July 1981

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

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

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

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

Anomalies and time reversal invariance in relativistic hydrodynamics: The second order and higher dimensional formulations
journal, August 2011

Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation
journal, June 2013

The axial anomaly and the bound-state spectrum in confining theories
journal, January 1981

Chiral Kinetic Theory
journal, October 2012

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

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

A no-go theorem for regularizing chiral fermions
journal, October 1981

Chiral magnetic conductivity
journal, August 2009

Anatomy of the chiral magnetic effect in and out of equilibrium
journal, March 2017

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

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

Electromagnetic Response of Weyl Semimetals
journal, July 2013

Chiral magnetic effect
journal, October 2008

Absence of neutrinos on a lattice
journal, December 1981

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

Topologically induced local <mml:math altimg="si13.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mspace width="0.35em"/><mml:mtext>and</mml:mtext><mml:mspace width="0.35em"/><mml:mi mathvariant="script">CP</mml:mi></mml:mrow></mml:math> violation in QCD×QED
journal, January 2010

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

Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs
journal, April 2016

Triangle anomaly in Weyl semimetals
journal, January 2014

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