Robust Marginal Fermi Liquid In Birefringent Semimetals

TL;DR

This paper studies how Coulomb interactions and correlated disorder influence pseudospin-3/2 birefringent semimetals, revealing that the marginal Fermi liquid phase remains stable despite disorder effects.

Contribution

It introduces a renormalization group analysis of Coulomb and disorder effects in birefringent semimetals, demonstrating the robustness of the marginal Fermi liquid phase.

Findings

Coulomb interactions induce a marginal Fermi liquid state.

Disorder does not destabilize the marginal Fermi liquid phase.

RG analysis confirms the phase's robustness against correlated disorder.

Abstract

We investigate the interplay of Coulomb interactions and correlated disorder in pseudospin-3/2 semimetals, which exhibit birefringent spectra in the absence of interactions. Coulomb interactions drive the system to a marginal Fermi liquid, both for the two-dimensional (2d) and three-dimensional (3d) cases. Short-ranged correlated disorder in 2d, or a power-law correlated disorder 3d, has the same engineering dimension as the Coulomb term, in a renormalization group (RG) sense. In order to analyze the combined effects of these two kinds of interactions, we apply a dimensional regularization scheme and derive the RG flow equations. The results show that the marginal Fermi liquid phase is robust against disorder.