Abstract
The mixed boson-fermion model of superconductivity of Friedberg and Lee is adapted to two dimensions. Owing to the finite correlation length $l(T)$, Bose-Einstein (BE) condensation can prevail only for a finite, but still macroscopic system. It is shown that for $Tl{T}_{c}\ensuremath{\sim}40$ K, BE condensation of charged bosons that are converted from fermion (electron or hole) pairs leads not only to a perfect Meissner effect but also an energy gap in the fermion excitation spectrum. For the temperature range ${T}_{c}lTl{T}_{\mathrm{May}}$, where ${T}_{\mathrm{May}}$ depends, in part, on the thickness of the two-dimensional layer, although the system shows no vestige of BE condensation, a near-perfect Meissner effect would yet persist until $T\ensuremath{\simeq}{T}_{\mathrm{May}}\ensuremath{\sim}150$ K, based on the adaptation of the theory of May to the present model.
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