Calculated Superconducting Gap Dependence on Doping in Single Layered Copper Oxides

We use a total Hamiltonian containing both an electron-phonon induced attractive part of the interaction between electrons, and a Coulomb repulsive part formulated in the Hubbard modelBy diagonalising it in the Bogoliubov and Valatin mean field approximation, we obtain equations for a two valued superconducting gap function, with a much more precise statement about the repulsive cut off energy than in the Morel and Anderson model. By applying these equations to our bidimensional electronic model for a Cu02 plane, we find that the calculated superconducting