Energetics of superconductivity in the two dimensional Hubbard model

Abstract

The energetics of the interplay between superconductivity and the pseudogap in high temperature superconductivity is examined using the eight-site dynamical cluster approximation to the two dimensional Hubbard model. Two regimes of superconductivity are found: a weak coupling/large doping regime in which the onset of superconductivity causes a reduction in potential energy and an increase in kinetic energy, and a strong coupling regime in which superconductivity is associated with an increase in potential energy and decrease in kinetic energy. The crossover between the two regimes is found to coincide with the boundary of the normal state pseudogap, providing further evidence of the unconventional nature of superconductivity in the pseudogap regime. However the absence, in the strongly correlated but non-superconducting state, of discernibly nonlinear response to an applied pairing field, suggests that resonating valence bond physics is not the origin of the kinetic-energy driven superconductivity.

References in corpus (53)

• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Cluster Theories
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Projected Wavefunctions and High Temperature Superconductivity
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Cluster Dynamical Mean Field analysis of the Mott transition
• Strong coupling superconductivity, pseudogap and Mott transition
• d-wave Superconductivity in the Hubbard Model
• Diagrammatic Monte Carlo for Correlated Fermions
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• The Structure of the Pairing Interaction in the 2D Hubbard Model
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• The Superconducting Instabilities of the non half-filled Hubbard Model in Two Dimensions
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Crossover of superconducting properties and kinetic-energy gain in two-dimensional Hubbard model
• Absence of a pseudogap in the in-plane infrared response of Bi2Sr2CaCu2O(8+d)
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Frustrated kinetic energy, the optical sum rule, and the mechanism of superconductivity
• Kinetic energy change with doping upon superfluid condensation in high temperature superconductors
• Pairing dynamics in strongly correlated superconductivity
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Cluster-size dependence in cellular dynamical mean-field theory
• Condensation Energy and Spectral Functions in High Temperature Superconductors
• Spatially homogeneous ground state of the two-dimensional Hubbard model
• Proximity of the Superconducting Dome and the Quantum Critical Point in the Two-Dimensional Hubbard Model
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• The in-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+d: energy scales and spectral weight distribution
• Optical Conductivity of the t-J model within Cluster Dynamical Mean Field Theory
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Where is 99% of the condensation energy of Tl_2Ba_2CuO_y coming from?
• Condensation energy in strongly coupled superconductors
• Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor
• Optical Integral in the Cuprates and the Question of Sum Rule Violation
• Condensation Energy and High Tc Superconductivity
• Kinetic Energy, Condensation Energy, Optical Sum Rule and Pairing Mechanism in High-Tc Cuprates
• Optical Integral and Sum Rule Violation
• Temperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering
• Impact of a finite cut-off for the optical sum rule in the superconducting state
• On kinetic energy stabilized superconductivity in cuprates

Cited by in corpus (67)

• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• The Hubbard model: A computational perspective
• Selective Mottness as a key to iron superconductors
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Fate of the false Mott-Hubbard transition in two dimensions
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Stripe order from the perspective of the Hubbard model
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Origin of high-Tc superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Period 4 stripe in the extended two-dimensional Hubbard model
• Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
• Parquet decomposition calculations of the electronic self-energy
• An organizing principle for two-dimensional strongly correlated superconductivity
• High-temperature superconductivity in the Hubbard model: Gutzwiller wave-function solution
• Stripe and superconducting order competing in the Hubbard model on a square lattice studied by a combined variational Monte Carlo and tensor network method
• Intermediate Coupling Model of the Cuprates
• Equation of State of the Fermionic 2D Hubbard Model
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates
• Theoretical study of insulating mechanism in multi-orbital Hubbard models with a large spin-orbit coupling: Slater versus Mott scenario in Sr${}_2$IrO${}_4$
• 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
• Pairing Glue in the Two Dimensional Hubbard Model
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• Photo-enhanced antinodal conductivity in the pseudogap state of high Tc cuprates
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Quantum-critical pairing in electron-doped cuprates
• Temperature-dependent ellipsometry measurements of partial Coulomb energy in superconducting cuprates
• Correlation-driven Lifshitz transition at the emergence of the pseudogap phase in the two-dimensional Hubbard model
• Ab Initio Study on Superconductivity and Inhomogeneity in Hg-based Cuprate Superconductor
• Double occupancy in DMFT and the Dual Boson approach
• Knight shifts, nuclear spin-relaxation rates, and spin echo decay times in the pseudogap regime of the cuprates: Simulation and relation to experiment
• Pseudogap opening in the two-dimensional Hubbard model: A functional renormalization group analysis
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
• Dynamical Charge Susceptibility in the Hubbard Model
• Superconductivity-induced spectral weight transfer due to quantum geometry
• Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model
• The Valence Transition Model of Pseudogap, Charge-Order and Superconductivity in Electron- and Hole-Doped Copper Oxides
• Ergodicity of the Hybridization-Expansion Monte Carlo Algorithm for Broken-Symmetry States
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Detecting a preformed pair phase: The response to a pairing forcing field
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Superconductivity in the three-band model of cuprates: nodal direction characteristics and influence of intersite interactions
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
• Resonant Inelastic X-ray Scattering Study of Electron-Exciton Coupling in High-Tc Cuprates
• Intertwined states at finite temperatures in the Hubbard model
• Unparticle mediated superconductivity
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Interface and bulk superconductivity in superconducting heterostructures with enhanced critical temperatures
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Pairing susceptibility of the two-dimensional Hubbard model in the thermodynamic limit
• Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis
• Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• The Future of the Correlated Electron Problem
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• The interplay between a pseudogap and superconductivity in a two-dimensional Hubbard model
• Many-body tunneling in a double-well potential
• Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with $U\lesssim \infty$
• Pseudogap and the specific heat of high T${}_c$ superconductors: a Hubbard model in a n-pole approximation
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Interplay between condensation energy, pseudogap and the specific heat of a Hubbard model in a n-pole approximation
• Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV