Abstract
We study the electronic structure of copper oxides high T c superconductors using a tight-binding hamiltonian with intra-atomic and interatomic Coulomb repulsion. We consider a model with the Cu(3d x2 −y2), O(2 p x) and O(2 p y) orbitals of the CuO 2 planes. A new Gutzwiller type approximation is used, taking into account correlations on copper and oxygen atoms, which allows to calculate the renormalization of the bandwidth and energy levels as a function of doping. The system becomes rapidly metallic when doped beyond the semiconducting phase. For an interatomic repulsion of the order of two times the hopping integral the Gutzwiller wavefunction is unstable with respect to phase separation in some doping range. We suggest that it is related to the existence of high T c superconductivity.
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