Imaginary part of Hall conductivity in a tilted doped Weyl semimetal with both broken time-reversal and inversion symmetry

S. P. Mukherjee and J. P. Carbotte
Phys. Rev. B 97, 035144 – Published 19 January 2018

Abstract

We consider a Weyl semimetal with finite doping and tilt within a continuum model Hamiltonian with both broken time-reversal and inversion symmetry. We calculate the absorptive part of the anomalous ac Hall conductivity as a function of photon energy Ω for both type-I and type-II Weyl semimetals. For a given Weyl node, changing the sign of its chirality or of its tilt changes the sign of its contribution to the absorptive Hall conductivity with no change in magnitude. For a noncentrosymmetric system we find that there are ranges of photon energies for which only the positive or only the negative-chirality node contributes to the imaginary (absorptive) part of the Hall conductivity. There are also other photon energies where both chiralities contribute, and there can be other ranges of Ω where there is no absorption associated with the ac Hall conductivity in type-I semimetals and regions where it is instead constant for type-II semimetals. We comment on implications for the absorption of circularly polarized light.

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  • Received 2 November 2017

DOI:https://doi.org/10.1103/PhysRevB.97.035144

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

S. P. Mukherjee1 and J. P. Carbotte1,2

  • 1Department of Physics and Astronomy, McMaster University, Hamiltion, Ontario, Canada L8S 4M1
  • 2Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8

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Issue

Vol. 97, Iss. 3 — 15 January 2018

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