科研之友
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摘要
An effective Hamiltonian for localized Cu spins and mobile O holes is deduced from the three-band Anderson lattice model ascribed to a single CuO2 layer in high-T-c superconductors. At large but finite Hubbard repulsion strength U on Cu sites the perturbative approach is given completely up to the fourth order in the Cu(d)-O(p) hybridization amplitude t. Both the Schrieffer-Wolff transformation and the projection onto the subspace of singly occupied Cu sites are performed by means of a computational algorithm. The resultant interactions in O(t(4)) include a Kondo-like spin-hole exchange in competition to that in O(t(2)), the spin-spin superexchange of the Heisenberg-type, spin-spin-hole, hole-hole, and spin-hole-hole correlations. The spin-hole-hole coupling, reflecting p-hole hopping affected by a Kondo exchange, is due to the direct O-O transfer t(p) inherent in the periodic Anderson model. It is shown how in the limit t(p) = 0 the effective Hamiltonian reduces to that originated from the minimal version of the Emery model.
- 出版日期1994-11
