Theory of antiferromagnetic pairing in cuprate superconductors

A review of the anti ferromagnetic exchange and spin-fluctuation pairing theory in the cuprate superconductors is given. We briefly discuss a phenomenological approach and a theory in the limit of weak Coulomb correlations. A microscopic theory in the strong correlation limit is presented in more detail. In particular, results of our recently developed theory for the effective p-d Hubbard model and the reduced t-J model are given. We have proved that retardation effects for the anti ferromagnetic exchange interaction are unimportant, which results in pairing of all the charge carriers in the conduction band and a high T-c proportional to the Fermi energy. The spin-fluctuation interaction caused by kinematic interaction gives an additional contribution to the d-wave pairing. The dependence of T-c on the hole concentration and lattice constant (or pressure) and an oxygen isotope shift are discussed. (c) 2006 American Institute of Physics.