Superconductivity in a quasi-two-dimensional Bose gas

Abstract

We show, within mean-field theory, that the normal state of compressible quasi-two-dimensional bose gas with arbitrarily weak attractive interactions becomes unstable with respect to pair condensation at a temperature $T_c$ of order $T_0$, the bose degeneracy temperature. Below $T_c$ the ground-state many-particle wave function is the boson analog of the Bardeen-Cooper-Schrieffer wave function and the charged gas has the principal electromagnetic properties of a conventional superconductor.