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.

36 pages, 23 figures

References in corpus (40)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Energy gaps in high-transition temperature cuprate superconductors
• 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
• Fate of the false Mott-Hubbard transition in two dimensions
• Planckian Dissipation in 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
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• 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
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• 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
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• 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
• 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
• Are Heavy Fermion Strange Metals Planckian?
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Magnetic properties and pseudogap formation in infinite-layer nickelates: insights from the single-band Hubbard model
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Spin fluctuations associated with the collapse of the pseudogap in a cuprate superconductor
• Non-Fermi liquid behavior at the onset of incommensurate 2k_F charge or spin density wave order in two dimensions
• 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
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model