Anomalous transport of Weyl fermions in Weyl semimetals

Karl Landsteiner
Phys. Rev. B 89, 075124 – Published 19 February 2014

Abstract

We present a field theoretical model of anomalous transport in Weyl semimetals. We calculate the chiral magnetic and chiral vortical effect in the electric, axial (valley), and energy current. Our findings coincide with the results of a recent analysis using kinetic theory in the bulk of the material. We point out that the kinetic currents have to be identified with the covariant currents in quantum field theory. These currents are anomalous and the CME appears as anomalous charge creation/annihilation at the edges of the Weyl semimetal. We discuss a possible simultaneous experimental test of the chiral magnetic and the chiral vortical effect sensitive to the temperature dependence induced by the gravitational contribution to the axial anomaly.

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  • Received 14 August 2013
  • Revised 29 January 2014

DOI:https://doi.org/10.1103/PhysRevB.89.075124

©2014 American Physical Society

Authors & Affiliations

Karl Landsteiner

  • Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13-15, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain

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Issue

Vol. 89, Iss. 7 — 15 February 2014

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