Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals

TL;DR

This paper investigates how tilting Weyl nodes affects magneto-electric transport in type-I and type-II Weyl semimetals, revealing anisotropic and B-linear corrections with specific experimental signatures.

Contribution

It introduces a comprehensive analysis of tilt-induced anisotropic and linear magnetic field corrections to conductivity in Weyl semimetals, extending prior quadratic models.

Findings

Existence of finite B-linear transverse conductivity components.

B-linear corrections in longitudinal conductivity cause asymmetric magnetoresistance.

Corrections are independent of chemical potential and depend on tilt and magnetic field directions.

Abstract

Berry curvature in Weyl semimetals results in very intriguing magneto-electric and magneto-thermal transport properties. In this paper, we explore the impact of the tilting of the Weyl nodes, which breaks the time-reversal symmetry, on the magneto-electric conductivity of type-I and type-II Weyl semimetals. Using the Berry curvature connected Boltzmann transport formalism, we find that in addition to the quadratic-B corrections induced by the tilt, there are also anisotropic and B-linear corrections in several elements of the conductivity matrix. For the case of magnetic field applied perpendicular to the tilt direction, we show the existence of finite B-linear transverse conductivity components. For the other case of magnetic field applied parallel to the tilt axis, the B-linear corrections appear in the longitudinal conductivity and will result in asymmetric lineshape in the magneto-resistence measurements. Unlike the quadratic-B corrections, these linear corrections are independent of the chemical potential, and are sensitive to the direction of the tilt axis and the applied magnetic field. Our systematic analysis of the full magneto-electric conductivity matrix, predicts several specific experimental signatures related to the tilting of the Weyl nodes in both type-I and type-II Weyl semimetals.