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

Saber Rostamzadeh*, Inanc Adagideli, Mark Oliver Goerbig

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

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 √1−η2 in the two-dimensional case where only the conductivity perpendicular to the tilt direction diverges for η→1, 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).
Original languageEnglish
Article number075438
JournalPhysical Review B
Volume100
Issue number7
DOIs
Publication statusPublished - 29 Aug 2019
Externally publishedYes

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