Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model

Abstract

We consider the one-band Hubbard model on the square lattice by using variational and Green's function Monte Carlo methods, where the variational states contain Jastrow and backflow correlations on top of an uncorrelated wave function that includes BCS pairing and magnetic order. At half filling, where the ground state is antiferromagnetically ordered for any value of the on-site interaction $U$, we can identify a hidden critical point $U_{\mathrm{Mott}}$, above which a finite BCS pairing is stabilized in the wave function. The existence of this point is reminiscent of the Mott transition in the paramagnetic sector and determines a separation between a Slater insulator (at small values of $U$), where magnetism induces a potential energy gain, and a Mott insulator (at large values of $U$), where magnetic correlations drive a kinetic energy gain. Most importantly, the existence of $U_{\mathrm{Mott}}$ has crucial consequences when doping the system: We observe a tendency to phase separation into a hole-rich and a hole-poor region only when doping the Slater insulator, while the system is uniform by doping the Mott insulator. Superconducting correlations are clearly observed above $U_{\mathrm{Mott}}$, leading to the characteristic dome structure in doping. Furthermore, we show that the energy gain due to the presence of a finite BCS pairing above $U_{\mathrm{Mott}}$ shifts from the potential to the kinetic sector by increasing the value of the Coulomb repulsion.

arXiv comment10 pages, 7 figures

References in corpus (55)

• Correlated Electrons in High Temperature Superconductors
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Singular quasiparticle scattering in the proximity of charge instabilities
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Projected Wavefunctions and High Temperature Superconductivity
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Variational description of Mott insulators
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• Strong coupling superconductivity, pseudogap and Mott transition
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Phase separation and stripe formation in the 2D t-J model: a comparison of numerical results
• Absence of a Slater Transition in The Two-Dimensional Hubbard Model
• Revealing the high-energy electronic excitations underlying the onset of high-temperature superconductivity in cuprates
• Proof for an upper bound in fixed-node Monte Carlo for lattice fermions
• Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Origin of high-Tc superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
• Energetics of superconductivity in the two dimensional Hubbard model
• The Superconducting Condensation Energy and an Antiferromagnetic Exchange Based Pairing Mechanism
• Kinetic energy change with doping upon superfluid condensation in high temperature superconductors
• Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram
• Backflow correlations in the Hubbard model: an efficient tool for the metal-insulator transition and the large-U limit
• Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model
• Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: a variational study
• An organizing principle for two-dimensional strongly correlated superconductivity
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Unconventional metal-insulator transition in two dimensions
• High-temperature superconductivity in the Hubbard model: Gutzwiller wave-function solution
• Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems
• Spatially homogeneous ground state of the two-dimensional Hubbard model
• Computation of dynamical correlation functions for many fermion systems with auxiliary-field quantum Monte Carlo
• Magnetism and superconductivity in the $t-t^{\prime }-J$ model
• Proximity of the Superconducting Dome and the Quantum Critical Point in the Two-Dimensional Hubbard Model
• Symmetry-projected variational approach for ground and excited states of the two-dimensional Hubbard model
• Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Antiferromagnetism of almost localized fermions: Evolution from Slater-type to Mott-Hubbard gap
• Effect of Doublon-Holon Binding on Mott transition---Variational Monte Carlo Study of Two-Dimensional Bose Hubbard Models
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Strong renormalization of the Fermi-surface topology close to the Mott transition
• Linearized Auxiliary fields Monte Carlo: efficient sampling of the fermion sign
• Doping induced metal-insulator transition in two-dimensional Hubbard, $t-U$, and extended Hubbard, $t-U-W$, models
• Band-Renormalization Effects and Predominant Antiferromagnetic Order in Two-Dimensional Hubbard Model
• Assessing the orbital selective Mott transition with variational wave functions
• d-wave pairing in lightly doped Mott insulators

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• Metal-insulator transitions, superconductivity, and magnetism in the two-band Hubbard model
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• Magnetic Correlations in the Two-dimensional Repulsive Fermi Hubbard Model
• Scaling theory for Mott-Hubbard transitions
• Unified description of cuprate superconductors using four-band $d$-$p$ model
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• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• Effect of hole doping on the 120 degree order in the triangular lattice Hubbard model: A Hartree-Fock revisit
• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Quantum criticality of bandwidth-controlled Mott transition
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Intertwined superconductivity and orbital selectivity in a three-orbital Hubbard model for the iron pnictides
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