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 energy gap ωc 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≪ωc). The London penetration length at T∼200 K is of the order λ∼10−5 cm. At T≫ωc a new phase, characterized by an inhomogeneous magnetic penetration, is found. We conclude that the energy gap, ωc, defines a scale that separates two phases: a superconducting phase at T≪ωc, and a non-superconducting one at T≫ωc.