Electronic properties of disordered Weyl semimetals at 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.

arXiv comment18 pages, 8 figures

References in corpus (51)

• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• Topological nodal semimetals
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Discovery of a Weyl Fermion semimetal state in NbAs
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Three-Dimensional Topological Insulators
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Electron transport in disordered graphene
• Charge Transport in Weyl Semimetals
• Chiral anomaly and transport in Weyl metals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Axion response in Weyl semimetals
• Protected boundary states in gapless topological phases
• Chiral anomaly and optical absorption in Weyl semimetals
• Quantum transport of disordered Weyl semimetals at the nodal point
• Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
• Observation of Fermi arc spin texture in TaAs
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Quantum transport in three-dimensional Weyl electron system
• Critical transport in weakly disordered semiconductors and semimetals
• Effect of Disorder in a Three-Dimensional Layered Chern Insulator
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Effective field theory of the disordered Weyl semimetal
• Coulomb disorder in three-dimensional Dirac systems
• Quantum Critical Exponents for a Disordered Three-Dimensional Weyl Node
• Transversal magnetoresistance in Weyl semimetals
• Current at a distance and resonant transparency in Weyl semimetals
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
• Single particle excitations in disordered Weyl fluids
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Diffusive transport in Weyl semimetals
• Dynamics of electric transport in interacting Weyl semimetals
• Conductivity of a Weyl semimetal with donor and acceptor impurities
• Transport and magnetotransport in 3D Weyl Semimetals
• Quantum transport in three-dimensional Weyl electron system -- in the presence of charged impurity scattering
• The theory of avoided criticality in quantum motion in a random potential in high dimensions
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Localization effects on magnetotransport of a disordered Weyl semimetal

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• 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
• From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
• Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
• Hydrodynamic electron flow in a Weyl semimetal slab: Role of Chern-Simons terms
• Disordered fermionic quantum critical points
• Electromagnetic fields induced by an electric charge near a Weyl semimetal
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Direct link between disorder, mobility and magnetoresistance in topological semimetals
• Multifractality at the Weyl semimetal-diffusive metal transition for generic disorder
• Domain wall skew scattering in ferromagnetic Weyl metals
• Fermi arcs and surface criticality in dirty Dirac materials
• Surface quantum critical phenomena in disordered Dirac semimetals
• Anomalous Hall effect in disordered Weyl semimetals
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• Electron transport in a weakly disordered Weyl semimetal