Transversal magnetotransport in Weyl semimetals: Exact numerical approach

TL;DR

This paper introduces an exact numerical scattering matrix method to study transversal magnetotransport in Weyl semimetals, capturing effects of disorder beyond perturbative approaches for both mesoscopic and bulk samples.

Contribution

It presents a real-space numerical approach that accurately models disorder effects in Weyl semimetals, extending previous analytical methods.

Findings

Numerical results confirm large positive magnetoresistance in Weyl semimetals.

Method applies to both clean and strongly disordered samples.

Goes beyond perturbative analytical approaches by treating disorder exactly.

Abstract

Magnetotransport experiments on Weyl semimetals are essential for investigating the intriguing topological and low-energy properties of Weyl nodes. If the transport direction is perpendicular to the applied magnetic field, experiments have shown a large positive magnetoresistance. In this work, we present a theoretical scattering matrix approach to transversal magnetotransport in a Weyl node. Our numerical method confirms and goes beyond the existing perturbative analytical approach by treating disorder exactly. It is formulated in real space and is applicable to mesoscopic samples as well as in the bulk limit. In particular, we study the case of clean and strongly disordered samples.