1999/09/02 by E. V. L. de Mello, de Mello, E. V. L.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High-pressure geophysics and materials #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.cond-mat/9909038
11 pags in RevTex, 5 fi2s. in eps, accepted in Braz. J. of Physics
arxiv created 1999/09/02 · openalex publication_date 1999/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use the two dimensional extended Hubbard Hamiltonian with the position of the attractive potential as a variable parameter with a BCS type approach to study the interplay between the superconductor transition temperature Tc and hole content for high temperature superconductors. This novel method gives some insight on the range and intensity of the Cooper pair interaction and why different compounds have different values for their measured coherence lengths and it describes well the experimental results of the superconducting phase diagram Tc × n. The calculations may also be used to study the effect of the applied pressure with the assumption that it increases the attractive potential which is accompanied by an increase in the superconductor gap. In this way we obtain a microscopic interpretation for the intrinsic term and a general expansion for Tc in terms of the pressure which reproduces well the experimental measurements on the \Bi superconductors.