Density of states and magnetotransport in Weyl semimetals with long-range disorder

TL;DR

This paper investigates how long-range disorder affects the density of states and magnetotransport in Weyl semimetals, revealing that such disorder induces a finite density of states near nodal points and may cause non-monotonic magnetoresistance.

Contribution

It provides an exact treatment of long-range disorder effects on density of states and develops a systematic diagram technique for short-range disorder in Weyl semimetals.

Findings

Long-range disorder induces finite density of states near nodal points.

The theory suggests possible non-monotonic low-field magnetoresistance.

A combined approach treats both long-range and short-range disorder effects.

Abstract

We study the density of states and magnetotransport properties of disordered Weyl semimetals, focusing on the case of a strong long-range disorder. To calculate the disorder-averaged density of states close to nodal points, we treat exactly the long-range random potential fluctuations produced by charged impurities, while the short-range component of disorder potential is included systematically and controllably with the help of a diagram technique. We find that for energies close to the degeneracy point, long-range potential fluctuations lead to a finite density of states. In the context of transport, we discuss that a self-consistent theory of screening in magnetic field may conceivably lead to non-monotonic low-field magnetoresistance.