Gap generation in Weyl semimetals in a model with local four-fermion interaction

TL;DR

This paper investigates how local four-fermion interactions can induce a gap in Weyl semimetals, revealing a critical coupling and phase diagram, and analyzing the effects on quasiparticle spectra.

Contribution

It introduces a model demonstrating a critical interaction strength for gap formation and explores the spectral consequences in Weyl materials.

Findings

Existence of a critical coupling constant for gap generation

Phase diagram distinguishing symmetric and broken phases

Additional splitting of quasiparticle energy bands due to gap

Abstract

We study the gap generation in Weyl semimetals in a model with local four-fermion interaction. It is shown that there exists a critical value of coupling constant separating the symmetric and broken symmetry phases, and the corresponding phase diagram is described. The gap generation in a more general class of Weyl materials with small bare gap is studied, and the quasiparticle energy spectrum is determined. It is found that, in this case, the dynamically generated gap leads to additional splitting of the quasiparticle energy bands.