Study of Superconducting Transition Temperature in d–p Model on Basis of Perturbation Theory

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We investigate the mass enhancement factor and the superconducting transition temperature Tc in the d–p model, to explain differences of Tc observed in the high-Tc cuprates, such as YBa2Cu3O7−δ (YBCO) and La2−xSrxCuO4 (LSCO). First, we calculate the mass enhancement factor by expanding the normal selfenergy perturbatively up to the fourth order with respect to the on-site repulsion U. The large mass enhancement is obtained when the energy level splitting between the d-level and the p-level is large, which corresponds to LSCO. Next, we calculate Tc by expanding the effective pairing interaction up to the third order and solving the Éliashberg equation in the renormalized quasiparticle scheme. As results, Tc is remarkably suppressed due to the large mass renormalization factor when the level splitting is large. We conclude that the strong correlation in LSCO enhances the pairing interaction but reduces the quasiparticle energy scale more efficiently, and then Tc in LSCO is lower than that in YBCO.

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