Magnetization of Planar Four-Fermion Systems

TL;DR

This paper investigates how a static magnetic field influences the magnetization and spin polarization of a two-dimensional fermion system at finite temperature and density, with implications for materials like graphene.

Contribution

It introduces a theoretical analysis of magnetization in planar fermion systems considering Zeeman effects and explores potential observable consequences.

Findings

Magnetic field induces spin polarization in 2D fermion systems.

Critical properties analyzed via Landau's free energy.

Implications for materials like graphene and polymer films.

Abstract

We consider a planar system of fermions, at finite temperature and density, under a static magnetic field parallel to the two-dimensional plane. This magnetic field generates a Zeeman effect and, then, a spin polarization of the system. The critical properties are studied from the Landau's free energy. The possible observable consequences of the magnetization of planar systems such as polymer films and graphene are discussed.