Quantum transport in three-dimensional Weyl electron system -- in the presence of charged impurity scattering

Abstract

We theoretically study the quantum transport in three-dimensional Weyl electron system in the presence of the charged impurity scattering using a self-consistent Born approximation (SCBA). The scattering strength is characterized by the effective fine structure constant $\alpha$, which depends on the dielectric constant and the Fermi velocity of the linear band. We find that the Boltzmann theory fails at the band touching point, where the conductivity takes a nearly constant value almost independent of $\alpha$, even though the density of states linearly increases with $\alpha$. There the magnitude of the conductivity only depends on the impurity density. The qualitative behavior is quite different from the case of the Gaussian impurities, where the minimum conductivity vanishes below a certain critical impurity strength.

arXiv comment10 pages, 5 figures

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• Conductivity of a Weyl semimetal with donor and acceptor impurities
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Quantitative analytical theory for disordered nodal points [Article and Erratum]
• Density of states and magnetotransport in Weyl semimetals with long-range disorder
• Weyl node with random vector potential
• Electronic properties of disordered Weyl semimetals at charge neutrality
• Disordered fermionic quantum critical points
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Negative refraction in Weyl semimetals
• Ballistic transport in disordered Dirac and Weyl semimetals
• Quantum transport of a spin-1 chiral fermion
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Quantum magnetoresistance of Weyl semimetals with strong Coulomb disorder
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Charge and energy transport in graphene with smooth finite-range disorder
• Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation