TY - JOUR
T1 - Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response
AU - Rostamzadeh, Saber
AU - Adagideli, Inanc
AU - Goerbig, Mark Oliver
PY - 2019/8/29
Y1 - 2019/8/29
N2 - 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).
AB - 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).
UR - http://dx.doi.org/10.1103/physrevb.100.075438
U2 - 10.1103/physrevb.100.075438
DO - 10.1103/physrevb.100.075438
M3 - Article
VL - 100
JO - Physical review B: Covering condensed matter and materials physics
JF - Physical review B: Covering condensed matter and materials physics
SN - 2469-9950
IS - 7
M1 - 075438
ER -