Superconductivity in a quasi-two-dimensional Bose gas

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.

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