Magnetization in 2+1 dimensional QED at Finite Temperature and Density

TL;DR

This paper investigates the magnetization properties of Dirac fermions in 2+1 dimensions under finite temperature and density, revealing oscillatory behavior similar to de Haas-van Alphen effects.

Contribution

It provides a detailed calculation of the effective action and magnetization for Dirac fermions in a magnetic field at finite temperature and density, highlighting oscillatory phenomena.

Findings

Fermion gas exhibits de Haas-van Alphen oscillations at low temperatures and weak magnetic fields.

Effective action and magnetization are explicitly calculated for the system.

Comments on earlier related work are included.

Abstract

We consider Dirac fermions moving in a plane with a static homogeneous magnetic field orthogonal to the plane. We calculate the effective action at finite temperature and density. The magnetization is derived and it is shown that the fermion gas exhibits de Haas-van Alphen oscillations at small temperatures and weak magnetic fields. We also comment upon earlier work.