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 $T_c^d$, the maximum of the condensation energy as a function of doping, the correlation between maximum $T_c^d$ 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.

6 pages, 2 figures and supplementary information

References in corpus (9)

• Continuous-time Monte Carlo methods for quantum impurity models
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Energetics of superconductivity in the two dimensional Hubbard model
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Avoided Quantum Criticality near Optimally Doped High Temperature Superconductors

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