Title: A theory of superconductivity in cuprates
Author(s):

N.M.Plakida (Joint Institute for Nuclear Research, 141980 Dubna, Russia) ,

A microscopic theory of superconducting pairing mediated by antiferromagnetic (AFM) exchange and spin-fluctuations is developed within the effective p-d Hubbard model for the CuO₂ plane. It is proved that retardation effects for AFM exchange interaction are unimportant and result in pairing of all electrons in the conduction band and high T_c proportional to the Fermi energy. The spin-fluctuations caused by the kinematic interaction give an additional contribution to the d-wave pairing. T_c dependence on the hole concentration and lattice constants (or pressure) is studied. Small oxygen isotope shift of T_c is explained. The data are compared with the results for the t-J model.

Key words: high-temperature superconductivity, strong electron correlations, Hubbard model, antiferromagnetic exchange interaction, spin-fluctuations
PACS: 74.20.-z, 74.20.Mn, 74.72.-h