Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity

Abstract

Cluster dynamical mean field and maximum entropy analytical continuation methods are used to obtain theoretical estimates for the many-body density of states, electron self-energy, in-plane and c-axis optical conductivity and the $B_{1g}$ and $B_{2g}$ Raman scattering spectra of the two dimensional square lattice Hubbard model at intermediate interaction strengths and carrier concentrations near half filling. The calculations are based on an 8-site cluster approximation which gives access to both the zone-diagonal and zone-face portions of the Fermi surface. At low dopings the zone-face regions exhibit a 'pseudogap', a suppression of the many-body density of states for energies near the Fermi surface. The pseudogap magnitude is largest near half filling and decreases smoothly with doping, but as temperature is increased the gap fills in rather than closes. The calculated response functions bear a strong qualitative resemblance to data taken in the pseudogap regime of high-$T_c$ cuprates, strongly suggesting that the intermediate coupling Hubbard model accounts for much of the exotic behavior observed in high-$T_c$ materials.

12 pages, 15 figures, minor changes from previous version in response to referee reports

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Cited by in corpus (18)

• 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
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Non-Drude universal scaling laws for the optical response of local Fermi liquids
• Intermediate Coupling Model of the Cuprates
• When Superconductivity Crosses Over: From BCS to BEC
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Momentum-dependent pseudogaps in the half-filled two-dimensional Hubbard model
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Charge transport in the Hubbard model at high temperatures: triangular versus square lattice
• Spectral properties of the three-dimensional Hubbard model
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Absence of a quantum limit to charge diffusion in bad metals
• Failure of t-J models in describing doping evolution of spectral weight in x-ray scattering, optical and photoemission spectra of the cuprates
• Doped Mott insulator on Penrose tiling
• Signatures of Hund Metal and finite-frequency nesting in Sr${}_2$RuO${}_4$ Revealed by Electronic Raman Scattering
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal