On the Meissner effect and Higgs-like mechanism in anyon superconductor

Abstract

The problem of Meissner effect in exotic anyon superconductor is rediscussed from the point of view of spontaneously broken symmetry and Higgs mechanism idea. It is rederived that for noninteracting anyon system, within the random-phase-approximation, the Meissner effect does not appear for T ≠ 0. Inclusion of electromagnetic interaction leads to the typical Higgs mechanism in agreement with previous results of Randjbar-Daemi et al. but contrary to Yang et al. (which is, however, more realistic for physical systems). Moreover, the equivalence of the mean field approach to anyon system with the Haldane fractional statistics description is indicated.