Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study

Abstract

To clarify the origin of the pseudogap and strange metal states as well as their mutual relationship in cuprate superconductors, a comprehensive study on the spectral function, Fermi surface, resistivity and dynamical spin susceptivity of the Hubbard model on the square lattice has been conducted by means of the ladder dual-fermion approximation with an electron self-energy correction. It is found that the appearance of these two states requires that the characteristic hole concentration below which the Mott-Heisenberg and Slater mechanisms of electron localization occurs $p_{\mathrm{MS}}$ nearly coincides with the hole concentration where the Van Hove singularity (VHS) point is placed at the vicinity of the Fermi level. When this condition is met the VHS point is pinned at which the nesting condition of the antiferromagnetic (AFM) fluctuation is fulfilled almost everywhere on the Fermi surface in wide range of the hole concentration in a metallic state, i.e., the strange metal state. The spin fluctuation of the strange metal state is nearly quantum critical and the dynamical spin susceptivity is well described by overdamped spin wave having the $\omega /T$ scaling with the relaxation rate at the Planckian limit. Because of these distinctive features of the strange metal state, the $k$ dependence of scattering rate of electrons is small and electrons behave as the marginal Fermi liquid, resulting in $T$-linear resistivity. In contrast, the pseudogap state is magnetically in the renormalized classical regime and the pseudogap is formed near the X point where the nesting condition of the short-range AFM order is fulfilled.

arXiv comment36 pages, 23 figures

References in corpus (106)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Cluster Theories
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Hidden Order in the Cuprates
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Spin waves and electronic interactions in La2CuO4
• How do Fermi liquids get heavy and die?
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Energy gaps in high-transition temperature cuprate superconductors
• The remarkable underlying ground states of cuprate superconductors
• Renormalization group analysis of the 2D Hubbard model
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Spontaneous time reversal symmetry breaking in the pseudogap state of high-Tc superconductors
• Nodal metallic behavior of lightly-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Detection and Implications of a Time-reversal breaking state in underdoped Cuprates
• Observation of New Incommensurate Magnetic Correlations at the Lower Critical Concentration for Superconductivity (x=0.05) in La(2-x)Sr(x)CuO4
• Linear in Temperature Resistivity and Associated Mysteries
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• 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
• Thermodynamic signatures of quantum criticality in cuprates
• Fate of the false Mott-Hubbard transition in two dimensions
• Planckian Dissipation in Metals
• Scale-invariant magnetoresistance in a cuprate superconductor
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Theory of a Planckian metal
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Heavy-electron quantum criticality and single-particle spectroscopy
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Strange metallicity in the doped Hubbard model
• Efficient perturbation theory for quantum lattice models
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Parquet solution for a flat Fermi surface
• Incoherent transport across the strange metal regime of highly overdoped cuprates
• Universal theory of strange metals from spatially random interactions
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Robustness of the van Hove scenario for high-Tc superconductors
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• Topological order in the pseudogap metal
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Pseudogap temperature as a Widom line in doped Mott insulators
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Effects of the Van Hove singularities on magnetism and superconductivity in the t-t' Hubbard model: a parquet approach
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Conductivity in the square lattice Hubbard model at high temperatures: importance of vertex corrections
• Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• Fermi surface transformation at the pseudogap critical point of a cuprate superconductor
• Why the critical temperature of high-$T_{\mathrm{c}}$ cuprate superconductors is so low: The importance of the dynamical vertex structure
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• A Tale of Two Metals: contrasting criticalities in the pnictides and hole-doped cuprates
• Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory -- convergence analysis of the dual fermion technique
• Electron-Like Fermi Surface and Remnant (pi,0) Feature in Overdoped La1.78Sr0.22CuO4
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high-$T_c$ cuprates with high momentum resolution
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Normal state specific heat in the cuprates La${}_{2-x}$Sr${}_x$CuO${}_4$ and Bi${}_{2+y}$Sr${}_{2-x-y}$La${}_x$CuO${}_{6+\delta }$ near the critical point of the pseudogap phase
• Multi-connected Momentum Distribution and Fermion Condensation
• Origin and fate of the pseudogap in the doped Hubbard model
• Explaining the pseudogap through damping and antidamping on the Fermi surface by imaginary spin scattering
• Mottness collapse and statistical quantum criticality
• Cofermion Theory for Pseudogap Phenomena and Superconducting Mechanism of Underdoped Cuprate Superconductors
• Are Heavy Fermion Strange Metals Planckian?
• Orbital currents in insulating and doped antiferromagnets
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Magnetic properties and pseudogap formation in infinite-layer nickelates: insights from the single-band Hubbard model
• Instability of a Landau Fermi liquid as the Mott insulator is approached
• Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
• Parallel Spin Stripes and Their Coexistance with Superconducting Ground States at Optimal and High Doping in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Spin fluctuations associated with the collapse of the pseudogap in a cuprate superconductor
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Non-Fermi liquid behavior at the onset of incommensurate 2k_F charge or spin density wave order in two dimensions
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Magnetic fluctuations and self--energy effects in two--dimensional itinerant systems with van Hove singularity of electronic spectrum
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• Planckian properties of 2D semiconductor systems
• Quantum critical metals and loss of quasiparticles
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Impact of self-consistency in dual fermion calculations
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Slave fermion interpretation of the pseudogap in doped Mott insulators