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

## TL;DR

This paper investigates how disorder and Coulomb interactions influence the properties of tilted and anisotropic three-dimensional Weyl fermions, revealing that Coulomb interactions tend to restore symmetry and dominate over disorder effects.

## Contribution

It provides a renormalization group analysis showing Coulomb interactions stabilize symmetry in Weyl semimetals despite disorder effects.

## Key findings

- Coulomb interactions dominate tilt and anisotropy stabilization.
- Disorder effects are suppressed by Coulomb interactions.
- Gauge invariance governs the renormalization flow topology.

## 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.