# Electronic properties of disordered Weyl semimetals at charge neutrality

## TL;DR

This paper investigates how rare-region effects in disordered Weyl semimetals lead to a non-zero density of states at charge neutrality, challenging the ideal semimetallic behavior and affecting conductivity.

## Contribution

It introduces a self-consistent T-matrix approach to analyze the density of states beyond weak disorder, revealing non-analytic impurity dependence.

## Key findings

- Non-zero density of states at Weyl point due to rare regions
- Non-analytic dependence of density of states on impurity density
- Revised estimates for conductivity near charge neutrality

## Abstract

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property entails various peculiar electronic properties. However, recent theoretical studies have suggested that resonant scattering from rare regions can give rise to a non-zero density of states even at charge neutrality. Here, we give a detailed account of this effect and demonstrate how the semimetallic nature is suppressed at the lowest scales. To this end, we develop a self-consistent T-matrix approach to investigate the density of states beyond the limit of weak disorder. Our results show a nonvanishing density of states at the Weyl point which exhibits a non-analytic dependence on the impurity density. This unusually strong effect of rare regions leads to a revised estimate for the conductivity close to the Weyl point and emphasizes possible deviations from semimetallic behavior in dirty Weyl semimetals at charge neutrality even with very low impurity concentration.