From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation

Abstract

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 of intermediate disorder, we find a critical regime which separates the semimetal and diffusion regimes. While the numerical values of the critical exponents are not expected to be exact within the SCBA, the approach allows us to calculate functional dependences of various observables (density of states, quasiparticle broadening, conductivity) in a closed form. This sheds more light on the qualitative behavior of the conductivity and its universal features in disordered Weyl semimetals. In particular, we have found that the vertex corrections in the Kubo formula are of crucial importance in the regime of strong disorder and lead to saturation of the dc conductivity with increasing disorder strength. We have also analyzed the evolution of the optical conductivity with increasing disorder strength, including its scaling properties in the critical regime.

References in corpus (66)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Experimental discovery of Weyl semimetal TaAs
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Discovery of a Weyl Fermion semimetal state in NbAs
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Electromagnetic Response of Weyl Semimetals
• Charge Transport in Weyl Semimetals
• Experimental discovery of a topological Weyl semimetal state in TaP
• Chiral anomaly and transport in Weyl metals
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Large linear magnetoresistance in Dirac semi-metal Cd3As2 with Fermi surfaces close to the Dirac points
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Large linear magnetoresistance in the Dirac semimetal TlBiSSe
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• 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
• Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
• Magnetotransport of single crystalline YSb
• Quantum transport in three-dimensional Weyl electron system
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Critical transport in weakly disordered semiconductors and semimetals
• Disordered weak and strong topological insulators
• Magnetotransport of single crystalline NbAs
• Magnetic tunneling induced Weyl node annihilation in TaP
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Effect of Disorder in a Three-Dimensional Layered Chern Insulator
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Inducing superconductivity in Weyl semi-metal microstructures by selective ion sputtering
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Quantum limit transport and destruction of the Weyl nodes in TaAs
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Unconventional localisation transition in high dimensions
• Universal optical conductivity of a disordered Weyl semimetal
• Quantum Critical Exponents for a Disordered Three-Dimensional Weyl Node
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Transversal magnetoresistance in Weyl semimetals
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Single particle excitations in disordered Weyl fluids
• Diffusive transport in Weyl semimetals
• On the disorder-driven quantum transition in three-dimensional relativistic metals
• Vanishing density of states in weakly disordered Weyl semimetals
• Nodal points of Weyl semimetals survive the presence of moderate disorder
• Note on "Diffusive quantum criticality in three-dimensional disordered Dirac semimetals"
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Quantitative analytical theory for disordered nodal points [Article and Erratum]
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• The theory of avoided criticality in quantum motion in a random potential in high dimensions
• Electronic properties of disordered Weyl semimetals at charge neutrality
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
• Disorder-driven quantum transition in relativistic semimetals: functional renormalization via the porous medium equation
• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
• Strong disorder in nodal semimetals: Schwinger-Dyson--Ward approach
• Corrections to the self-consistent Born approximation for Weyl fermions

Cited by in corpus (20)

• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Dirty higher-order Dirac semimetal: Quantum criticality and bulk-boundary correspondence
• Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
• Photoinduced Quantum Anomalous Hall States in the Topological Anderson Insulator
• Multifractality at the Weyl semimetal-diffusive metal transition for generic disorder
• Effects of strong correlations on the nonlinear response in Weyl-Kondo semimetals
• Effect of disorder on the transverse magnetoresistance of Weyl semimetals
• Fermi arcs and surface criticality in dirty Dirac materials
• Disorder effects on triple-point fermions
• Ballistic transport in disordered Dirac and Weyl semimetals
• Non-Anderson critical scaling of the Thouless conductance in 1D
• Surface quantum critical phenomena in disordered Dirac semimetals
• Disordered Weyl semimetal as an array of coupled Hubbard chains
• Born approximation study of the strong disorder in magnetized surface states of topological insulator
• Disorder Driven Non-Anderson Transition in a Weyl Semimetal
• Absence of localization in Weyl semimetals
• Nonlinear response functions and disorder: the case of photogalvanic effect
• Large enhancement of Edelstein effect in Weyl semimetals from Fermi-arc surface states
• Electron transport in a weakly disordered Weyl semimetal
• Boundary critical behavior of the Gross-Neveu-Yukawa model