Strong coupling superconductivity, pseudogap and Mott transition

Abstract

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 using the 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.

6 pages, 4 figures; published version

References in corpus (21)

• Continuous-time Monte Carlo methods for quantum impurity models
• Scanning tunneling spectroscopy of high-temperature superconductors
• The ALPS project release 1.3: open source software for strongly correlated systems
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• A Phenomenological Theory of The Pseudogap State
• Cluster Dynamical Mean Field Theory of the Mott Transition
• 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
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Disorder, Metal-Insulator crossover and Phase diagram in high-Tc cuprates
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Emergence of Cooper pairs, d-wave duality and the phase diagram of cuprate superconductors
• Superconducting Fluctuations, Pseudogap and Phase Diagram in Cuprates
• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor

Cited by in corpus (114)

• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• The Hubbard model: A computational perspective
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Mott physics and spin fluctuations: a unified framework
• Stripe order from the perspective of the Hubbard model
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Origin of high-Tc superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations
• Mott physics and spin fluctuations: a functional viewpoint
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Gauge theory for the cuprates near optimal doping
• Energetics of superconductivity in the two dimensional Hubbard model
• Period 4 stripe in the extended two-dimensional Hubbard model
• Exploring the Dark Side of Cuprate Superconductors: s-wave Symmetry of the Pseudogap
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• $i$QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Evidence for hidden fermion that triggers high-temperature superconductivity in cuprates
• An organizing principle for two-dimensional strongly correlated superconductivity
• Stripe and superconducting order competing in the Hubbard model on a square lattice studied by a combined variational Monte Carlo and tensor network method
• Mottness in a doped organic superconductor
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Spectral functions of strongly correlated extended systems via an exact quantum embedding
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Resilience of d-wave superconductivity to nearest-neighbor repulsion
• Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates
• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Pairing in the Two-Dimensional Hubbard Model from Weak to Strong Coupling
• Time-dependent many-variable variational Monte Carlo method for nonequilibrium strongly correlated electron systems
• Superconducting Fluctuations in the Normal State of the Two-Dimensional Hubbard Model
• Lazy skip lists, a new algorithm for fast hybridization-expansion quantum Monte Carlo
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Multi-orbital cluster dynamical mean-field theory with an improved continuous-time quantum Monte Carlo algorithm
• Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation
• Charge orders, magnetism and pairings in the cuprate superconductors
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Knight shifts, nuclear spin-relaxation rates, and spin echo decay times in the pseudogap regime of the cuprates: Simulation and relation to experiment
• Pseudogap and singlet formation in cuprate and organic superconductors
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Effective SU(2) theory for the pseudogap state
• Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators
• A perspective on machine learning and data science for strongly correlated electron problems
• Hidden-Fermion Representation of Self-energy in Pseudogap and Superconducting States of Two-Dimensional Hubbard Model
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
• Critical Slowing Down of the Charge Carrier Dynamics at the Mott Metal-Insulator Transition
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Critical Behavior in Doping-Driven Metal$-$Insulator Transition on Single-Crystalline Organic Mott-FET
• Non-perturbative intertwining between spin and charge correlations: A "smoking gun" single-boson-exchange result
• Leading theories of the cuprate superconductivity: a critique
• The Valence Transition Model of Pseudogap, Charge-Order and Superconductivity in Electron- and Hole-Doped Copper Oxides
• Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model
• Excitons and Dark Fermions as Origins of Mott Gap, Pseudogap and Superconductivity in Cuprate Superconductors --- General Idea and Basic Concept Based on Gap Physics
• Direct Connection between Mott Insulator and d-Wave High-Temperature Superconductor Revealed by Continuous Evolution of Self-Energy Poles
• Ergodicity of the Hybridization-Expansion Monte Carlo Algorithm for Broken-Symmetry States
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Pseudogap, van Hove Singularity, Maximum in Entropy and Specific Heat for Hole-Doped Mott Insulators
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Unconventional high-energy-state contribution to the Cooper pairing in under-doped copper-oxide superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Self-Optimized Superconductivity Attainable by Interlayer Phase Separation at Cuprate Interfaces
• Topotactic-hydrogen forms chains in $AB$O${}_2$ nickelate superconductors
• Charge dynamics of the antiferromagnetically ordered Mott insulator
• Filling-driven Mott transition in SU(N) Hubbard models
• Signatures of topotactic hydrogen in nickelate superconductors
• Charge Order and Superconductivity as Competing Brothers in Cuprate High-$T_{\mathrm{c}}$ Superconductors
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean field theory
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Exactly solvable model of strongly correlated $d$-wave superconductivity
• Complementary views on electron spectra: From Fluctuation Diagnostics to real space correlations
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Introducing the concept of the Widom line in the QCD phase diagram
• Superfluid ground state phase diagram of the two-dimensional Hubbard model in the emergent Bardeen-Cooper-Schrieffer regime
• Intertwined states at finite temperatures in the Hubbard model
• Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates
• Josephson lattice model for phase fluctuations of local pairs in copper-oxide superconductors
• Doped Mott insulator on Penrose tiling
• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• Nanoscale phase separation and pseudogap in the hole-doped cuprates from fluctuating Cu-O-Cu bonds
• Orbital Selective Phase Transition
• Maximum entropy analytic continuation of anomalous self-energies
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Mean-field interactions in evolutionary spatial games
• Unambiguous fluctuation decomposition of the self-energy: pseudogap physics beyond spin fluctuations
• Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis
• A slave boson description of pseudogap metals in t-J models
• What do we learn from impurities and disorder in High Tc cuprates?
• Comparing scattering rates from Boltzmann and dynamical mean-field theory
• Semiclassical approximation solved by Monte Carlo as an efficient impurity solver for dynamical mean field theory and its cluster extensions
• Short-range antiferromagnetic correlation effect on conduction electrons in two-dimensional strongly correlated electron systems
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Instability of Pa$\overline{3}$ Cs${}_3$C${}_{60}$ at ambient pressure and superconducting state of the FCC phase
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Self-energy enhancements in doped Mott insulators
• Disentangling real space fluctuations: the diagnostics of metal-insulator transitions beyond single-particle spectral functions
• On d+id density wave and superconducting orderings in hole-doped cuprates
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• A model description of the supersolid state in YBCO
• Hidden Universal Metal in Cuprate Superconductors
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity
• Dynamics of superconducting pairs in the two-dimensional Hubbard model
• On non-canonical degrees of freedom