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

Rostam Zadeh, Saber and Adagideli, İnanç and Goerbig, Mark Oliver (2019) Large enhancement of conductivity in Weyl semimetals with tilted cones: pseudorelativity and linear response. Physical Review B, 100 (7). ISSN 2469-9950 (Print) 2469-9969 (Online)

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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).
Item Type: Article
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Physics
Faculty of Engineering and Natural Sciences
Depositing User: İnanç Adagideli
Date Deposited: 03 Sep 2019 12:10
Last Modified: 27 Jul 2023 10:02
URI: https://research.sabanciuniv.edu/id/eprint/39157

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