# Short Note on the Density of States in 3D Weyl Semimetals.

@article{Ziegler2018ShortNO, title={Short Note on the Density of States in 3D Weyl Semimetals.}, author={K Ziegler and Andreas Sinner}, journal={Physical review letters}, year={2018}, volume={121 16}, pages={ 166401 } }

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 results 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…

## 11 Citations

Vanishing Density of States in Weakly Disordered Weyl Semimetals.

- Physics, MedicinePhysical review letters
- 2018

It is shown that in spite of their existence these states are so fragile that their contribution effectively vanishes when averaged over continuous disorder distributions, which means that the integrity of the nodal points remains protected for weak disorder.

Nodal points of Weyl semimetals survive the presence of moderate disorder

- PhysicsPhysical Review B
- 2018

In this work we address the physics of individual three dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition…

Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors

- PhysicsAnnals of Physics
- 2021

Abstract Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention and competing theories in recent years. In this brief review, we discuss the current theoretical…

Multifractality at the Weyl-semimetal–diffusive-metal transition for generic disorder

- PhysicsPhysical Review B
- 2019

A Weyl semimetal is a three dimensional topological gapless phase. In the presence of strong enough disorder it undergoes a quantum transition towards a diffusive metal phase whose universality class…

Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

- Physics, MedicineScientific Reports
- 2019

This work uses entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model and shows that the SIT driven by n or C has distinct nature whether it leads to the full localization or to the ordinary one.

Non-Wigner-Dyson Level Statistics and Fractal Wave Function of Disordered Weyl Semimetals

- Physics
- 2019

Finding fingerprints of disordered Weyl semimetals (WSMs) is an unsolved task. Here we report such findings in the level statistics and the fractal nature of electron wavefunction around Weyl nodes…

Breakdown of universality in three-dimensional Dirac semimetals with random impurities

- Physics
- 2021

The authors study the effects of random spherical impurities in the electronic density of states of three-dimensional Dirac semimetals.

Non-Wigner-Dyson level statistics and fractal wave function of disordered Weyl semimetals

- PhysicsPhysical Review B
- 2019

C. Wang1,2, Peng Yan1, and X. R. Wang 2,3∗ 1School of Electronic Science and Engineering and State Key Laboratory of Electronic Thin Film and Integrated Devices, University of Electronic Science and…

Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone

- Physics
- 2020

Existing theoretical works differ on whether three-dimensional Dirac and Weyl semimetals are stable to a short-range-correlated random potential. Numerical evidence suggests the semimetal to be…

Fermi arcs and surface criticality in dirty Dirac materials

- Physics
- 2020

We study the effects of disorder on semi-infinite Weyl and Dirac semimetals where the presence of a boundary leads to the formation of either Fermi arcs/rays or Dirac surface states. Using a local…

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