# Short note on the density of states in 3D Weyl semimetals

## TL;DR

This paper investigates the average density of states in disordered 3D Weyl semimetals, showing it remains non-zero and suggesting the absence of a true metal-insulator transition, with implications for understanding quantum criticality.

## Contribution

It provides a theoretical analysis indicating the non-vanishing density of states in disordered 3D Weyl semimetals, supporting the concept of an avoided quantum critical point.

## Key findings

- Density of states does not vanish in disordered 3D Weyl systems.
- No critical point for a metal-insulator transition exists.
- Effective density of states can be very small, validating saddle-approximation in some cases.

## Abstract

The average density of states in a disordered three-dimensional Weyl system is discussed in the case of a continuous distribution of random scattering. Our result clearly indicate that the average density of states does not vanish, reflecting the absence of a critical point for a metal-insulator transition. This calculation supports recent suggestions of an avoided quantum critical point in the disordered three-dimensional Weyl semimetal. However, the effective density of states can be very small such that the saddle-approximation with a vanishing density of states might be valid for practical cases.