Vanishing Density of States in Weakly Disordered Weyl Semimetals.

@article{Buchhold2018VanishingDO,
  title={Vanishing Density of States in Weakly Disordered Weyl Semimetals.},
  author={M. Buchhold and Sebastian Diehl and Alexander Altland},
  journal={Physical review letters},
  year={2018},
  volume={121 21},
  pages={
          215301
        }
}
The Brillouin zone of the clean Weyl semimetal contains points at which the density of states (DOS) vanishes. Previous work suggested that below a certain critical concentration of impurities this feature is preserved including in the presence of disorder. This result got criticized for its neglect of rare disorder fluctuations which might bind quantum states and hence generate a finite DOS. We here show that in spite of their existence these states are so fragile that their contribution… Expand
Nodal points of Weyl semimetals survive the presence of moderate disorder
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 transitionExpand
From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
We analyze theoretically the conductivity of Weyl semimetals within the self-consistent Born approximation (SCBA) in the full range of disorder strength, from weak to strong disorder. In the range ofExpand
Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
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 theoreticalExpand
Multifractality at the Weyl-semimetal–diffusive-metal transition for generic disorder
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 classExpand
Duality between disordered nodal semimetals and systems with power-law hopping
Nodal semimetals (e.g. Dirac, Weyl and nodal-line semimetals, graphene, etc.) and systems of pinned particles with power-law interactions (trapped ultracold ions, nitrogen defects in diamonds, spinsExpand
Superconductivity from piezoelectric interactions in Weyl semimetals
We present an analytical low-energy theory of piezoelectric electron-phonon interactions in undoped Weyl semimetals, taking into account also Coulomb interactions. We show that piezoelectricExpand
Invariants of disordered semimetals via the spectral localizer
The spectral localizer consists of placing the Hamiltonian in a Dirac trap. For topological insulators its spectral asymmetry is equal to the topological invariants, providing a highly efficient toolExpand
Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
TLDR
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. Expand
Interplay of disorder and interactions in a system of subcritically tilted and anisotropic three-dimensional Weyl fermions
We study the effects of disorder and Coulomb interactions on the physics of three-dimensional type-I Weyl fermions with tilted and anisotropic dispersions in a renormalization-group approach. ToExpand
Chiral anomaly trapped in Weyl metals: Nonequilibrium valley polarization at zero magnetic field
In Weyl semimetals, the application of parallel electric and magnetic fields leads to valley polarization---an occupation disbalance of valleys of opposite chirality---a direct consequence of theExpand
...
1
2
...

References

SHOWING 1-10 OF 96 REFERENCES
Short Note on the Density of States in 3D Weyl Semimetals.
TLDR
The results clearly indicate that the average density of states does not vanish, reflecting the absence of a critical point for a metal-insulator transition, and supports recent suggestions of an avoided quantum critical point in the disordered three-dimensional Weyl semimetal. Expand
Quantum transport of disordered Weyl semimetals at the nodal point.
TLDR
This work presents a numerical study of transport properties for a disordered Weyl cone at zero energy and identifies the Fano factor as a signature that discriminates between these two regimes. Expand
Nodal points of Weyl semimetals survive the presence of moderate disorder
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 transitionExpand
Effective Field Theory of the Disordered Weyl Semimetal.
TLDR
Field theory methods are applied to discuss the manifestation of phenomena at length scales that are beyond the scope of diagrammatic perturbation theory to show how an interplay of symmetry breaking and the chiral anomaly leads to a field theory containing two types of topological terms. Expand
Electronic properties of disordered Weyl semimetals at charge neutrality
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 inExpand
Critical transport in weakly disordered semiconductors and semimetals.
TLDR
It is shown, that in 2α dimensions short-correlated disorder experiences logarithmic renormalization from all energies in the band, and uses this analysis to compute the low-temperature conductivity in Weyl semimetals and weakly doped semiconductors near and below the critical disorder point. Expand
Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
Disordered noninteracting systems in sufficiently high dimensions have been predicted to display a non-Anderson disorder-driven transition that manifests itself in the critical behavior of theExpand
Phase diagrams of disordered Weyl semimetals
Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topologicalExpand
Dirty Weyl semimetals: Stability, phase transition, and quantum criticality
We study the stability of three-dimensional incompressible Weyl semimetals in the presence of random quenched charge impurities. Combining numerical analysis and scaling theory we show that in theExpand
Theory of the strongly disordered Weyl semimetal
In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. ProminentExpand
...
1
2
3
4
5
...