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

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.

5 pages, 2 figures, minor changes, additional supplement

References in corpus (4)

• Rare region effects dominate weakly disordered 3D Dirac points
• Single particle excitations in disordered Weyl fluids
• Quantitative analytical theory for disordered nodal points [Article and Erratum]
• Corrections to the self-consistent Born approximation for Weyl fermions

Cited by in corpus (10)

• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Vanishing density of states in weakly disordered Weyl semimetals
• Nodal points of Weyl semimetals survive the presence of moderate disorder
• Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Multifractality at the Weyl semimetal-diffusive metal transition for generic disorder
• Fermi arcs and surface criticality in dirty Dirac materials
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals
• Surface quantum critical phenomena in disordered Dirac semimetals