Thermodynamic properties of spontaneous magnetization in Chern-Simons QED_3

TL;DR

This paper investigates the thermodynamic behavior of spontaneous magnetization in Chern-Simons QED_3 at finite temperature, revealing persistent magnetic fields and topologically massless photons due to radiative effects.

Contribution

It demonstrates that spontaneous magnetization persists at high temperatures and that radiative effects cancel the Chern-Simons coefficient, affecting photon mass.

Findings

Spontaneous magnetic field remains non-zero at high temperature.

Radiative effects cancel the bare Chern-Simons coefficient.

Photons become topologically massless despite finite temperature effects.

Abstract

The spontaneous magnetization in Chern-Simons QED_3 is discussed in a finite temperature system. The thermodynamical potential is analyzed within the weak field approximation and in the fermion massless limit. We find that there is a linear term with respect to the magnetic field with a negative coefficient at any finite temperature. This implies that the spontaneous magnetic field does not vanish even at high temperature. In addition, we examine the photon spectrum in the system. We find that the bare Chern-Simons coefficient is cancelled by the radiative effects. The photons then become topologically massless according to the magnetization, though they are massive by finite temperature effects. Thus the magnetic field is a long-range force without the screening even at high temperature.