title: An organizing principle for two-dimensional strongly correlated superconductivity.
abstract: Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such as the pseudogap. Previous studies with this method found that upon doping the Mott insulator at low temperature a pseudogap phase appears. The low-temperature transition between that phase and the correlated metal at higher doping is first-order. A series of crossovers emerge along the Widom line extension of that first-order transition in the supercritical region. Here we show that the highly asymmetric dome of the dynamical mean-field superconducting transition temperature Tc(d), the maximum of the condensation energy as a function of doping, the correlation between maximum Tc(D) and normal-state scattering rate, the change from potential-energy driven to kinetic-energy driven pairing mechanisms can all be understood as remnants of the normal state first-order transition and its associated crossovers that also act as an organizing principle for the superconducting state.
authors.affiliation: Department of Physics, Royal Holloway, University of London, Egham, Surrey, UK, TW20 0EX.
authors.forename: L
authors.initials: L
authors.lastname: Fratino
authors.affiliation: Département de physique and Regroupement québéquois sur les matériaux de pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1.
authors.forename: P
authors.initials: P
authors.lastname: Sémon
authors.affiliation: Department of Physics, Royal Holloway, University of London, Egham, Surrey, UK, TW20 0EX.
authors.forename: G
authors.initials: G
authors.lastname: Sordi
authors.affiliation: Département de physique and Regroupement québéquois sur les matériaux de pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1.|Canadian Institute for Advanced Research, Toronto, Ontario, Canada, M5G 1Z8.
authors.forename: A-M S
authors.initials: AM
authors.lastname: Tremblay