Abstract
We calculate the isotopic exponent α for a Hubbard Hamiltonian with the presence of local Coulomb interaction U and an attractive BCS type potential V by using a normal state one-particle Green function, G N ( k → , iω n) , which is renormalized by the interactions. The BCS type pairing interaction V acts within a region ℏ ω D around the Fermi energy and it is appropriate to study α as function of the hole density ρ. Our results for α vs ρ for relevant U and V values for some high temperature superconductors reproduce the general main features and are in very good agreement with the experimental data.
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