A Model for High Temperature Superconductors using the Extended Hubbard Model

Details A Model for High Temperature Superconductors using the Extended Hubbard Model A Model for High Temperature Superconductors using the Extended Hubbard Model

1995-06-21

arxiv.org/abs/cond-mat/9506096v1

Physics

Condensed Matter

9 pages, RevTex preprint style, 2 figs. packed with uufiles

Scientific paper

10.1016/0921-4534(96)00012-3

We derive a method to study the phase diagram for high temperature superconductors (HTCS). Our starting point is the Hubbard Hamiltonian with a weak attractive interaction to obtain the formation of bound pairs. We consider this attractive potential at different positions for different compounds accordingly to the experimental results of the coherence length. We then construct a wave function of the BCS type by a variational method using the Fourier transform of this extended Hubbard potential and then derive an energy gap equation. This approach allows us to obtain the critical temperature as function of the doping concentration which gives very good agreement with the experimental phase diagrams of YBaCuO and La(Sr,Ba)CuO compounds.

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