Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis

Abstract

Doping a Mott insulator gives rise to unconventional superconducting correlations. Here we address the interplay between d-wave superconductivity and Mott physics using the two-dimensional Hubbard model with cellular dynamical mean-field theory on a $2\times 2$ plaquette. Our approach is to study superconducting correlations from the perspective of a cluster quantum impurity model embedded in a self-consistent bath. At the level of the cluster, we calculate the probabilities of the possible cluster electrons configurations. Upon condensation we find an increased probability that cluster electrons occupy a four-electron singlet configuration, enabling us to identify this type of short-range spin correlations as key to superconducting pairing. The increased probability of this four-electron singlet comes at the expense of a reduced probability of a four-electron triplet with no significant probability redistribution of fluctuations of charges. This allows us to establish that superconductivity at the level of the cluster primarily involves a reorganisation of short-range spin correlations rather than charge correlations. We gain information about the bath by studying the spectral weight of the hybridization function. Upon condensation, we find a transfer of spectral weight leading to the opening of a superconducting gap. We use these insights to interpret the signatures of superconducting correlations in the density of states of the system and in the zero-frequency spin susceptibility.

19 pages, 10 figures; accepted version

References in corpus (19)

• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• What is the valence of a correlated solid? The double life of delta-plutonium
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• 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
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• 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${}_{8+\delta }$
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Avoided Quantum Criticality near Optimally Doped High Temperature Superconductors
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Entanglement Spectrum in Cluster Dynamical Mean-Field Theory