Pairing correlations in the cuprates: a numerical study of the three-band Hubbard model

Abstract

We study the three-band Hubbard model for the copper oxide plane of the high-temperature superconducting cuprates using determinant quantum Monte Carlo and the dynamical cluster approximation (DCA) and provide a comprehensive view of the pairing correlations in this model using these methods. Specifically, we compute the pair-field susceptibility and study its dependence on temperature, doping, interaction strength, and charge-transfer energy. Using the DCA, we also solve the Bethe-Salpeter equation for the two-particle Green's function in the particle-particle channel to determine the transition temperature to the superconducting phase on smaller clusters. Our calculations reproduce many aspects of the cuprate phase diagram and indicate that there is an "optimal" value of the charge-transfer energy for the model where $T_c$ is largest. These results have implications for our understanding of superconductivity in both the cuprates and other doped charge-transfer insulators.

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• Superconducting stripes in the hole-doped three-band Hubbard model
• Enhancing $T_{\mathrm{c}}$ in a composite superconductor/metal bilayer system: a dynamical cluster approximation study
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Pairing susceptibility in the weakly interacting multilayer Hubbard model evaluated by direct perturbative expansion
• The competition between antiferromagnetism and superconductivity in a doped Hubbard model with anisotropic interaction
• Pair binding and enhancement of pairing correlations in asymmetric Hubbard ladders
• Calculated Spin Fluctuational Pairing Interaction in HgBa2CuO4 using LDA+FLEX Method
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Calculations of Spin Fluctuation Spectral Functions ${\alpha }^{2}F$ in High-Temperature Superconducting Cuprates
• Correlated electronic structure of high-temperature superconductor Ba${}_2$CuO${}_{3+\delta }$
• Oxygen hole content, charge-transfer gap, covalency, and cuprate superconductivity