Magnetic Response in Anyon Fluid at High Temperature

TL;DR

This paper investigates the magnetic response of an anyon fluid at various temperatures, revealing a transition from a Meissner effect to an inhomogeneous magnetic phase as temperature surpasses the fermion energy gap.

Contribution

It demonstrates the existence of a temperature-dependent phase transition in an anyon fluid, distinguishing superconducting and non-superconducting phases based on the fermion energy gap.

Findings

Total Meissner effect at low temperatures ($T \\ll \\omega_{c}$)

London penetration length of about $10^{-5}cm$ at $T \\sim 200K$

Inhomogeneous magnetic phase at high temperatures ($T \\gg \\omega_{c}$)

Abstract

The magnetic response of the charged anyon fluid at temperatures lower and larger than the fermion enery gap $\omega_{c}$ is investigated in the self-consistent field approximation. We prove that the anyon system with boundaries exhibits a total Meissner effect at temperatures smaller than the fermion energy gap ($T\ll \omega_{c}$). The London penetration length at $T$ $\sim 200K$ is of the order $\lambda \sim 10^{-5}cm$. At $T\gg \omega_{c}$ a new phase, characterized by an inhomogeneous magnetic penetration, is found. We conclude that the energy gap, $\omega_{c},$ defines a scale that separates two phases: a superconducting phase at $T\ll \omega_{c}$, and a non-superconducting one at $T\gg \omega_{c}$.