Properties of a model of two-band superconductors with electron singlet pair exchange between narrow and wide bands

The possibility of a superconducting transition with a critical temperature higher than in the BCS mechanism is demonstrated within the model of two-band superconductors with narrow band near the Fermi level and predominating interband interaction of arbitrary nature. Because of the specific features of the narrow band occupancy, the normal “hybridization” of bands, which could have suppressed the superconducting transition, does not occur. The critical temperature is nonzero and maximum in the range of electron concentrations in which the narrow band is occupied.

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