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28 March 2024
 
  » arxiv » cond-mat/9309002

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Consistent low-energy reduction of the three-band model for copper oxides with O-O hopping to the effective t-J model
V.I. Belinicher ; A.L. Chernyshev ;
Date 1 Sep 1993
Journal Phys. Rev. B 49, 9746 (1994)
Subject cond-mat
AbstractA full three-band model for the CuO$_{2}$ plane with inclusion of all essential interactions - Cu-O and O-O hopping, repulsion at the copper and oxygen and between them - is considered. A general procedure of the low-energy reduction of the primary Hamiltonian to the Hamiltonian of the generalized $t$-$t’$-$J$ model is developed. An important role of the direct O-O hopping is discussed. Parameters of the effective low-energy model (the hopping integral, the band position and the superexchange constant $J$ are calculated. An analysis of the obtained data shows that the experimental value of $J$ fixes the charge transfer energy $Delta =(epsilon_{p}-epsilon_{d})$ in a narrow region of energies.
Source arXiv, cond-mat/9309002
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