Magnetoconductivity of type-II Weyl semimetals

TL;DR

This paper investigates the magnetoconductivity of type-II Weyl semimetals through numerical lattice models, revealing how magnetic field strength and symmetry breaking influence conductivity sign and localization effects.

Contribution

It provides a detailed numerical analysis of magnetoconductivity in type-II Weyl semimetals, highlighting the dependence on magnetic field direction, strength, and symmetry properties.

Findings

High-field magnetoconductivity sign depends on magnetic field direction.

Weak field always yields positive magnetoconductivity.

Weak localization is affected by impurity potential spatial extent.

Abstract

Type-II Weyl semimetals are characterized by the tilted linear dispersion in the low-energy excitations, mimicking Weyl fermions but with manifest violation of the Lorentz invariance, which has intriguing quantum transport properties. The magnetoconductivity of type-II Weyl semimetals is investigated numerically based on lattice models in parallel electric and magnetic field. We show that in the high-field regime, the sign of the magnetoconductivity of an inversion-symmetry-breaking type-II Weyl semimetals depends on the direction of the magnetic field, whereas in the weak field regime, positive magnetoconductivity is always obtained regardless of magnetic field direction. We find that the weak localization is sensitive to the spatial extent of impurity potential. In time-reversal symmetry breaking type-II Weyl semimetals, the system displays either positive or negative magnetoconductivity along the direction of band tilting, owing to the associated effect of group velocity, Berry curvature and the magnetic field.