Abstract
Abstract A microscopic theory of superconductivity is formulated within an effective p - d Hubbard model for a CuO 2 plane. By applying the Mori-type projection technique, the Dyson equation is derived for the Green functions in terms of Hubbard operators. The antiferromagnetic exchange caused by interband hopping results in pairing of all carries in the conduction subband and high T c proportional to the Fermi energy. Kinematic interaction in intraband hopping is responsible for the conventional spin-fluctuation pairing. Numerical solution of the gap equation proves the d -wave gap symmetry and defines T c doping dependence. Oxygen isotope shift and pressure dependence of T c are also discussed.
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