Weyl node with random vector potential

Abstract

We study Weyl semimetals in the presence of generic disorder, consisting of a random vector potential as well as a random scalar potential. We derive renormalization group flow equations to second order in the disorder strength. These flow equations predict a disorder-induced phase transition between a pseudo-ballistic weak-disorder phase and a diffusive strong-disorder phase for sufficiently strong random scalar potential or for a pure three-component random vector potential. We verify these predictions using a numerical study of the density of states near the Weyl point and of quantum transport properties at the Weyl point. In contrast, for a pure single-component random vector potential the diffusive strong-disorder phase is absent.

published version with minor changes

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• Topological diffusive metal in amorphous transition metal monosilicides
• Strong disorder in nodal semimetals: Schwinger-Dyson--Ward approach
• High-Dimensional Disorder-Driven Phenomena in Weyl Semimetals, Semiconductors and Related Systems
• Emergent space-time supersymmetry at disorder quantum critical point
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• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
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