Abstract

A microscopical theory of spin-fluctuation superconducting pairing in systems with strong electron correlations as high-temperature superconductors is formulated. Basic models with strong electron correlations: p-d model, Hubbard and t-J models are considered. The Dyson equations for the matrix Green functions in the Nambu notation for the Hubbard operators are derived. The equations are solved in the self-consistent Born approximation and quasi-particle spectra and superconducting Tc are calculated. By comparison the results for the Hubbard and t-J models it is shown that the antiferromagnetic superexchange interaction acting in a broad energy region with negligible retardation effects gives the major contribution to the superconducting pairing. We argue that spin-fluctuations which have been observed in many experiments in cuprates are the driving force for superconducting pairing in high-temperature superconductors.

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