Reduction of three-band model for copper oxides to single-band generalized t~-~J model

Details Reduction of three-band model for copper oxides to single-band generalized t~-~J model Reduction of three-band model for copper oxides to single-band generalized t~-~J model

1993-08-27

arxiv.org/abs/cond-mat/9308034v1

Phys. Rev. B 47, 390 (1993)

Physics

Condensed Matter

20 pages (LATEX)

Scientific paper

10.1103/PhysRevB.47.390

A three-band model for copper oxides in the region of parameters where the second hole on the copper has energy close to the first hole on the oxygen is considered. The exact solution for one hole on a ferromagnetic background of the ordered copper spins is obtained. A general procedure for transformation of the primary Hamiltonian to the Hamiltonian of singlet and triplet excitations is proposed. Reduction of the singlet-triplet Hamiltonian to the single-band Hamiltonian of the generalized t~-~J model is performed. A comparison of the solution for the generalized t~-~J model on a ferromagnetic background with the exact solution shows a very good agreement.

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