Zeeman interaction and chiral symmetry breaking by tilted magnetic field in the (2+1)-dimensional Gross--Neveu model

TL;DR

This paper investigates how Zeeman interaction influences magnetic catalysis and chiral symmetry breaking in the (2+1)-dimensional Gross--Neveu model under tilted magnetic fields, revealing significant changes compared to the zero Zeeman case.

Contribution

It introduces the effect of Zeeman interaction on magnetic catalysis in the Gross--Neveu model, highlighting how spin coupling alters symmetry breaking under tilted magnetic fields.

Findings

Zeeman interaction significantly modifies magnetic catalysis effects.

Tilted magnetic fields impact chiral symmetry breaking.

The presence of Zeeman interaction changes the phase structure.

Abstract

Magnetic catalysis of the chiral symmetry breaking and other magnetic properties of the (2+1)-dimensional Gross--Neveu model are studied taking into account the Zeeman interaction of spin-1/2 quasi-particles (electrons) with tilted (with respect to a system plane) external magnetic field. The Zeeman interaction is proportional to magnetic moment $\mu_B$ of electrons. It is shown that at $\mu_B\ne 0$ the magnetic catalysis effect is drastically changed in comparison with the $\mu_B= 0$ case.