Tomonaga-Luttinger liquid and localization in Weyl semimetals

TL;DR

This paper investigates how Coulomb interactions and impurities affect electron behavior and localization in Weyl semimetals under strong magnetic fields, using Tomonaga-Luttinger liquid theory.

Contribution

It extends the Tomonaga-Luttinger liquid framework to three-dimensional Weyl semimetals with multiple Weyl points, analyzing localization and resistivity.

Findings

Impurities induce localization effects in Weyl semimetals.

Temperature influences electrical resistivity through Coulomb interactions.

Multiple Weyl points impact the localization behavior.

Abstract

We study both noncentrosymmetric and time-reversal breaking Weyl semimetal systems under a strong magnetic field with the Coulomb interaction. The three-dimensional bulk system is reduced to many mutually interacting quasi-one-dimensional wires. Each strongly correlated wire can be approached within the Tomonaga-Luttinger liquid formalism. Including impurity scatterings, we inspect the localization effect and the temperature dependence of the electrical resistivity. The effect of a large number of Weyl points in real materials is also discussed.