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

## TL;DR

This study employs the Kotliar-Ruckenstein slave-boson formalism to analyze the temperature-dependent properties of the one-band Hubbard model, revealing a universal low coherence temperature near the Mott transition across various band structures.

## Contribution

It introduces a slave-boson approach to identify a universal low coherence temperature in the Hubbard model, independent of band structure, and compares results with dynamical mean-field theory.

## Key findings

- The coherence temperature $T_{coh}$ is much lower than the Fermi temperature near the Mott transition.
- A universal behavior of $T_{coh}$ is observed after rescaling, regardless of band structure.
- The phase diagram and thermodynamic properties align with previous DMFT results.

## 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 $T_\textrm{coh}$ 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.