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

Abstract

Cluster dynamical mean field calculations based on 2, 4, 8 and 16 site clusters are used to analyze the doping-driven metal-insulator transition in the two dimensional Hubbard model. Comparison of results obtained on different clusters enables a determination of those aspects of the physics that are common to all clusters and permits identification of artifacts associated with particular cluster geometries. A modest particle-hole asymmetry in the underlying band structure is shown to lead to qualitatively different behavior on the hole doped side than on the electron doped side. For particle-hole asymmetry of the sign and magnitude appropriate to high-$T_c$ cuprates, the approach to the insulator from the hole-doping side is found to proceed in two stages from a high-doping region where the properties are those of a Fermi liquid with moderately renormalized parameters and very weak momentum dependence. As doping is reduced the system first enters an intermediate doping regime where the Fermi liquid renormalizations are larger and the electron self energy varies significantly around the Fermi surface and then passes to a small doping regime characterized by a gap in some regions of the Fermi surface but gapless behavior in other regions. On the electron doped side the partially gapped regime does not occur, and the momentum dependence of the electron self energy is less pronounced. Implications for the high-$T_c$ cuprates and for the use of cluster dynamical mean field methods in wider classes of problems are discussed.

References in corpus (46)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Cluster Theories
• The ALPS project release 1.3: open source software for strongly correlated systems
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Theory of Underdoped Cuprates
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Singular quasiparticle scattering in the proximity of charge instabilities
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• The Dynamical Cluster Approximation: Non-Local Dynamics of Correlated Electron Systems
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Deviations from Fermi-liquid behavior above $T_c$ in 2D short coherence length superconductors
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• Dynamical Breakup of the Fermi Surface in a doped Mott Insulator
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• Cluster Dynamical Mean Field analysis of the Mott transition
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Diagrammatic Monte Carlo for Correlated Fermions
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Absence of a Slater Transition in The Two-Dimensional Hubbard Model
• Optical conductivity and the correlation strength of high temperature copper-oxide superconductors
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Doping-dependent nodal Fermi velocity in Bi-2212 revealed by high-resolution ARPES
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• ARPES Spectra of the Hubbard model
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Efficient calculation of the antiferromagnetic phase diagram of the 3D Hubbard model
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems
• Quasiparticle Liquid in the Highly Overdoped Bi2212
• Shadow features and shadow bands in the paramagnetic state of cuprate superconductors
• Quantum-critical superconductivity in underdoped cuprates
• Tracking anisotropic scattering in overdoped Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ above 100 K
• Interplane charge dynamics in a valence-bond dynamical mean-field theory of cuprate superconductors

Cited by in corpus (146)

• 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
• The remarkable underlying ground states of cuprate superconductors
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• Fate of the false Mott-Hubbard transition in two dimensions
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Mott physics and spin fluctuations: a unified framework
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• From infinite to two dimensions through the functional renormalization group
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Topological order in the pseudogap metal
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Pseudogap temperature as a Widom line in doped Mott insulators
• Temperature and bath size in exact diagonalization dynamical mean field theory
• Magnetotransport of dirty-limit van Hove singularity quasiparticles
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Mott physics and spin fluctuations: a functional viewpoint
• Energetics of superconductivity in the two dimensional Hubbard model
• Covalency, double-counting and the metal-insulator phase diagram in transition metal oxides
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Charge ordering and correlation effects in the extended Hubbard model
• Compact numerical solutions to the two-dimensional repulsive Hubbard model obtained via non-unitary similarity transformations
• Evidence for hidden fermion that triggers high-temperature superconductivity in cuprates
• Imaginary-time matrix product state impurity solver for dynamical mean-field theory
• Cluster-size dependence in cellular dynamical mean-field theory
• Practical consequences of Luttinger-Ward functional multivaluedness for cluster DMFT methods
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Intermediate Coupling Model of the Cuprates
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Dynamical electronic nematicity from Mott physics
• Equation of State of the Fermionic 2D Hubbard Model
• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
• Momentum-dependent pseudogaps in the half-filled two-dimensional Hubbard model
• Importance of d-p Coulomb interaction for high T${}_C$ cuprates and other oxides
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• Spatial Correlations and the Insulating Phase of the High-$T_c$ Cuprates: Insights from a Configuration-Interaction-Based Solver for Dynamical Mean Field Theory
• Superconducting Fluctuations in the Normal State of the Two-Dimensional Hubbard Model
• Pairing Glue in the Two Dimensional Hubbard Model
• Charge order and antiferromagnetism in the extended Hubbard model
• Two-particle response in Cluster Dynamical Mean-Field Theory: Formalism and application to the Raman Response of High-temperature Superconductors
• Photo-enhanced antinodal conductivity in the pseudogap state of high Tc cuprates
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• Spectral properties of the three-dimensional Hubbard model
• TRILEX and $GW$+EDMFT approach to $d$-wave superconductivity in the Hubbard model
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Origin and fate of the pseudogap in the doped Hubbard model
• Correlation-driven Lifshitz transition at the emergence of the pseudogap phase in the two-dimensional Hubbard model
• Dynamics of correlation-frozen antinodal quasiparticles in superconducting cuprates
• Vertical temperature-boundary of the pseudogap under the superconducting dome of the Bi2Sr2CaCu2O8+d phase-diagram
• DCA${}^{+}$: Dynamical Cluster Approximation with continuous lattice self-energy
• Charge ordering and non-local correlations in the doped extended Hubbard model
• 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
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Phase separation in doped Mott insulators
• Quantifying the role of antiferromagnetic fluctuations in the superconductivity of the doped Hubbard model
• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
• Charge transfer across transition metal oxide interfaces: emergent conductance and new electronic structure
• On infrared pseudogap in cuprate and pnictide high-temperature superconductors
• Pseudogap opening in the two-dimensional Hubbard model: A functional renormalization group analysis
• Real-space cluster dynamical mean-field theory: Center focused extrapolation on the one- and two particle level
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Two-particle correlations in a dynamic cluster approximation with continuous momentum dependence: Superconductivity in the 2D Hubbard model
• Dynamical Charge Susceptibility in the Hubbard Model
• Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model
• Mott transition, Widom line and pseudogap in the half-filled triangular lattice Hubbard model
• Superconductivity emerging from an electronic phase separation in the charge ordered phase of RbFe${}_2$As${}_2$
• Doping and temperature evolution of pseudogap and spin-spin correlations in the two-dimensional Hubbard model
• 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
• Fermi Arcs From Dynamical Variational Monte Carlo
• Competition between band and Mott insulator in the bilayer Hubbard model: a dynamical cluster approximation study
• SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions (version 2.0 release)
• Unconventional high-energy-state contribution to the Cooper pairing in under-doped copper-oxide superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Filling-driven Mott transition in SU(N) Hubbard models
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model
• Optical Conductivity of the two dimensional Hubbard model: vertex corrections, emergent Galilean invariance and the accuracy of the single-site dynamical mean field approximation
• Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
• Complementary views on electron spectra: From Fluctuation Diagnostics to real space correlations
• Intrinsic Cluster-Shaped Density Waves in Cellular Dynamical Mean-Field Theory
• Exactly solvable model of strongly correlated $d$-wave superconductivity
• Validity of the Local Approximation in Iron- Pnictides and Chalcogenides
• Hybridizing localized and itinerant electrons: a recipe for pseudogaps
• Hall effect in cuprates with incommensurate spin-density wave
• Finite-temperature phase transitions in the ionic Hubbard model
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Interlaced coarse-graining for the dynamic cluster approximation
• Efficient implementation of the continuous-time interaction-expansion quantum Monte Carlo method
• Electron spectral functions in a quantum dimer model for topological metals
• Thinking locally: reflections on Dynamical Mean-Field Theory from a high-temperature/high energy perspective
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Fluctuation diagnostics of the finite temperature quasi-antiferromagnetic regime of the 2D Hubbard model
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Weak and strong electronic correlations in Fe superconductors
• Beyond-Hubbard pairing in a cuprate ladder
• On the cuprates' universal waterfall feature: evidence of a momentum-driven crossover
• Ferromagnetic response of a "high-temperature" quantum antiferromagnet
• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm
• The Continuous-Pole-Expansion method to obtain spectra of electronic lattice models
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Negative electron compressibility in the Hubbard Model
• Unambiguous fluctuation decomposition of the self-energy: pseudogap physics beyond spin fluctuations
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Designing Heterostructures with Higher Temperature Superconductivity
• Magnetic Order-Disorder Transitions on a 1/3 - Depleted Square Lattice
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• DMFT study on the electron-hole asymmetry of the electron correlation strength in the high Tc cuprates
• Short-range antiferromagnetic correlation effect on conduction electrons in two-dimensional strongly correlated electron systems
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Fractionalized Fermi liquids and the cuprate phase diagram
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• Electronic spectrum and superconductivity in the extended t-J-V model
• Real-space renormalized dynamical mean field theory
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Heating and cooling in self-consistent many-body simulations
• Single- and two-particle finite size effects in interacting lattice systems
• Signatures of the Fermi surface reconstruction of a doped Mott insulator in a slab geometry
• Self-energy enhancements in doped Mott insulators
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Effect of short-range correlations on spectral properties of doped Mott insulators
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Slope-Reversed Mott Transition in Multiorbital Systems
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Pseudogap in the lightly hole-doped triangular-lattice moiré Hubbard model