Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response

Saber Rostamzadeh, İnanç Adagideli, and Mark Oliver Goerbig
Phys. Rev. B 100, 075438 – Published 29 August 2019

Abstract

We study the conductivity of two-dimensional graphene-type materials with tilted cones as well as their three-dimensional Weyl counterparts and show that a covariant quantum Boltzmann equation is capable of providing an accurate description of these materials' transport properties. The validity of the covariant Boltzmann approach is corroborated by calculations within the Kubo formula. We find a strong anisotropy in the conductivities parallel and perpendicular to the tilt direction upon an increase of the tilt parameter η, which can be interpreted as the boost parameter of a Lorentz transformation. While the ratio between the two conductivities is 1η2 in the two-dimensional case where only the conductivity perpendicular to the tilt direction diverges for η1, both conductivities diverge in three-dimensional Weyl semimetals, where η=1 separates a type-I (for η<1) from a type-II Weyl semimetal (for η>1).

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  • Received 3 April 2019
  • Revised 4 July 2019

DOI:https://doi.org/10.1103/PhysRevB.100.075438

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Saber Rostamzadeh1,2,*, İnanç Adagideli1, and Mark Oliver Goerbig2,†

  • 1Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli-Tuzla, Istanbul, Turkey
  • 2Laboratoire de Physique des Solides, Université Paris-Sud, Université Paris Saclay, CNRS UMR 8502, 91405 Orsay Cedex, France

  • *srostamzadeh@sabanciuniv.edu
  • mark-oliver.goerbig@u-psud.fr

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Issue

Vol. 100, Iss. 7 — 15 August 2019

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