Interplay of disorder and interactions in subcritically tilted and anisotropic three-dimensional Weyl fermions

Abstract

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. To lowest non-trivial loop order we show that the tendency of the Coulomb interactions to restore the symmetry of the dispersion in the semimetallic region of the phase diagram dominates the stabilization of the tilt and anisotropy favored by weak disorder. We argue that the topology of the renormalization flow of the disorder and Coulomb couplings is essentially determined by gauge invariance, so that these findings continue to hold qualitatively at any order in perturbation theory.

arXiv comment9+5 pages

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Cited by in corpus (6)

• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals