Low quasiparticle coherence temperature in the one band-Hubbard model: A slave-boson approach

Abstract

We use the Kotliar-Ruckenstein slave-boson formalism to study the temperature dependence of paramagnetic phases of the one-band Hubbard model for a variety of band structures. We calculate the Fermi liquid quasiparticle spectral weight $Z$ and identify the temperature at which it decreases significantly to a crossover to a bad metal region. Near the Mott metal-insulator transition, this coherence temperature $T_{\text{coh}}$ is much lower than the Fermi temperature of the uncorrelated Fermi gas, as is observed in a broad range of strongly correlated electron materials. After a proper rescaling of temperature and interaction, we find a universal behavior that is independent of the band structure of the system. We obtain the temperature-interaction phase diagram as a function of doping, and we compare the temperature dependence of the double occupancy, entropy, and charge compressibility with previous results obtained with Dynamical Mean-Field Theory. We analyse the stability of the method by calculating the charge compressibility.

12 figures, 11 pages

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• Bad topological semimetals in layered honeycomb compounds
• Charge instabilities of the extended attractive Hubbard Model on the cubic lattice
• Particle-hole symmetry of charge excitation spectra in the paramagnetic phase of the Hubbard model
• Kinetics of thermal Mott transitions in the Hubbard model
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice