Magnetic Response in Anyon Fluid at High Temperature

Abstract

The magnetic response of the charged anyon fluid at temperatures lower and larger than the fermion enery gap $ω_{c}$ 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 ($T\ll ω_{c}$). The London penetration length at $T$ $\sim 200K$ is of the order $λ\sim 10^{-5}cm$. At $T\gg ω_{c}$ a new phase, characterized by an inhomogeneous magnetic penetration, is found. We conclude that the energy gap, $ω_{c},$ defines a scale that separates two phases: a superconducting phase at $T\ll ω_{c}$, and a non-superconducting one at $T\gg ω_{c}$.