Reduction of a three-band model for copper oxides to a single-band generalizedt-Jmodel
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 47 (1) , 390-399
- https://doi.org/10.1103/physrevb.47.390
Abstract
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 very good agreement.Keywords
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This publication has 23 references indexed in Scilit:
- Effective singlet-triplet model for CuO2 plane in oxide superconductors: the change fluctuation regimePhysica C: Superconductivity and its Applications, 1991
- Electronic structure of high-Tc superconductorsPhysica C: Superconductivity and its Applications, 1991
- Validity of the single-band modelPhysical Review B, 1990
- Reply to ‘‘Validity of thet-Jmodel’’Physical Review B, 1990
- Validity of thet-JmodelPhysical Review B, 1990
- Criterion for the validity of thet-Jmodel based upon a two-band model for copper oxidesPhysical Review B, 1990
- Electronic structure of the high-temperature oxide superconductorsReviews of Modern Physics, 1989
- Exact mapping from a two-band model for Cu oxides to the single-band Hubbard modelPhysical Review B, 1989
- Effective Hamiltonian for the superconducting Cu oxidesPhysical Review B, 1988
- Theory of high-superconductivity in oxidesPhysical Review Letters, 1987