Correlation effects in double-Weyl semimetals

TL;DR

This paper investigates how long-range Coulomb interactions affect double-Weyl semimetals, revealing a stable fixed point with anisotropic screening and logarithmic corrections to physical properties.

Contribution

It provides a one-loop renormalization group analysis showing the existence of a stable fixed point with anisotropic Coulomb screening in double-Weyl semimetals.

Findings

Existence of a stable fixed point with anisotropic Coulomb screening

Logarithmic corrections to specific heat, compressibility, and conductivity

Anisotropic screening modifies physical responses in the material

Abstract

We study the long-range Coulomb interaction effects on the double-Weyl fermion system which is possibly realized in the three dimensional semimetal HgCr$_2$Se$_4$ in the ferromagnetic phase. Within the one-loop renormalization group analysis, we find that there exists a stable fixed point at which the Coulomb interaction is screened anisotropically. At the stable fixed point, the renormalized Coulomb interaction induces logarithmic corrections to the physical quantities such as specific heat, compressibility, diamagnetic susceptibility, and the finite frequency (dynamic) conductivity that are obtained utilizing RG equations near the stable fixed point.