Strong coupling superconductivity, pseudogap and Mott transition

Physics – Condensed Matter – Strongly Correlated Electrons

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5 pages, 4 figures

Scientific paper

An intricate interplay between superconductivity, pseudogap and Mott transition, either bandwidth-driven or doping-driven, occurs in materials. Layered organic conductors and cuprates offer two prime examples. We provide a unified perspective of this interplay in the two dimensional Hubbard model within cellular dynamical mean-field theory on a $2\times 2$ plaquette and continuous-time quantum Monte Carlo method as impurity solver. Both at half-filling and at finite doping, the metallic normal state close to the Mott insulator is unstable to d-wave superconductivity. Superconductivity can destroy the first-order transition that separates the pseudogap phase from the overdoped metal. Yet that normal state transition leaves its marks on the dynamic properties of the superconducting phase. For example, as a function of doping one finds a rapid change in the particle-hole asymmetry of the superconducting density of states. In the doped Mott insulator, the dynamical mean-field superconducting transition temperature $T_c^d$ does not scale with the 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.

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