Abstract
We use the two dimensional extended Hubbard Hamiltonian with the position of the attractive potential as a variable parameter in connection with a BCS-type approach to study the interplay between the superconductor transition temperature T c and hole content in high-temperature superconductors. This novel method gives some insight on the range and intensity of the Cooper pair interaction and on the measured coherence length. Furthermore, it describes well several experimental results of T c× n on different compounds and suggests that pressure causes an increase of the superconducting gap. This new idea is developed in order to study how T c is modified by the applied pressure. In this way we obtain a microscopic interpretation for the intrinsic term and a general expansion for T c in terms of the pressure. In order to demonstrate the method we apply it to the Bi 2Sr 2CaCu 2O 8+ y superconductors.
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