The Hubbard model applied to the phase diagram and pressure effects in YBa_2Cu_3O_{7-δ} superconductors

Abstract

We apply a method based on a BCS-type approach to the extended Hubbard model to deal with the YBa_2Cu_3O_{7-δ} superconductor family under pressure. The parameters of the tight-binding band are taken from experiments, and the coupling strength U and V are estimated from the zero pressure phase diagram Tc X n_h, where n_h is the hole content and Tc the critical temperature. With the assumption that the pressure P modifies the magnitude V of the attractive potential besides n_h, we obtain a general expansion of Tc in terms of the pressure P, as Tc(P)=Tc(n_h(P),V(P)). With this we can distinguish the charge transfer and the intrinsic contribution to Tc. We show that the changes of Tc with P for YBa_2Cu_3O_{7-δ} are almost due to the intrinsic term.