Phase Transition in Anyon Superconductivity at Finite Temperature

TL;DR

This paper investigates the magnetic properties of a charged anyon fluid at finite temperatures, revealing a new inhomogeneous magnetic phase characterized by an imaginary magnetic mass that grows with temperature.

Contribution

It introduces a novel finite-temperature phase in anyon superconductivity with inhomogeneous magnetic penetration and analyzes its stability.

Findings

Discovery of a new inhomogeneous magnetic phase

Identification of an imaginary magnetic mass increasing with temperature

Proof of system stability in the new phase

Abstract

The magnetic response of the charged anyon fluid at temperatures larger than the fermion energy gap is investigated in the self-consistent field approximation. In this temperature region a new phase, characterized by an inhomogeneous magnetic penetration, is found. The inhomogeneity is linked to the existence of an imaginary magnetic mass which increases with the temperature. The system stability in the new phase is proved by investigating the electromagnetic field rest-energy spectrum.