d-wave superconducting phase diagram of the two dimensional Hubbard model

Superconductivity and Mott insulating state intertwine in materials such as cuprates and organic conductors. We study the d-wave superconducting phase at finite temperature in the two-dimensional Hubbard model on the square lattice within cellular dynamical mean-field theory and continuous-time quantum Monte Carlo. The whole phase diagram as a function of temperature, doping and interaction strength shows that a transition directly to the superconducting state from a Mott insulator is possible at the cellular dynamical mean-field level, whether the transition is bandwidth or doping driven. The dynamical mean-field superconducting transition temperature $T_c^d$ does not scale with the superconducting order parameter when there is a normal-state pseudogap. $T_c^d$ corresponds to the local pair formation temperature observed in tunneling experiments and is distinct from the pseudogap temperature, suggesting that pseudogap and superconductivity are distinct phenomena. Refs: G. Sordi et al., PRB 041101 (2013), G. Sordi et al. PRL 108 2164101 (2012)