Abstract
We present a proper reduction scheme from the three-band Hubbard model of the copper oxygen plane in cuprates to an extended t- J-like model. We find additional hopping amplitudes to nearest and next-nearest neighbours. The dispersion of one hole is studied by a variational ansatz which agrees well with the exact diagonalization method. The modifications due to the additional hopping integrals may explain the deviations from the pure t- J model dispersion which were found recently in the insulating compound Sr cCu 2O 2Cl 2. We simulate the doping dependence of the dispersion by a frustration term in the Hamiltonian. That influences the spin-correlations and also the dispersion changes. We find a transition from a dispersion with an isotropic minimum at (π/2,π/2) in the undoped case to a dispersion with an extended saddle point at (π, 0) similar to the dispersion in doped cuprates.
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