Critical temperature of a two-band superconductor with account for interband pairing

Dependence of the critical temperature of a superconductor with two overlapping conduction bands on the band filling is considered. The electrons are assumed to have parabolic dispersion laws and to interact within a layer near the Fermi surface. For superconductors with interband Cooper pairing the superconducting transition temperature as a function of the carrier density is nonmonotonic and resembles the analogous dependence in high-temperature superconductors.

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