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      Low quasi-particle coherence temperature in the one band Hubbard model: a slave-boson approach



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          We use the Kotliar-Ruckenstein slave-boson formalism to study the temperature dependence of paramagnetic phases of the one-band Hubbard model. 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, we find this coherence temperature \(T_\textrm{coh}\) to be much lower than the Fermi temperature of the uncorrelated Fermi gas, as is observed in a wide range of strongly correlated electron materials. We obtain the temperature-correlation phase diagram as a function of doping. We find a qualitative agreement for the temperature dependence of the double occupancy, entropy, and charge compressibility with previous results obtained with Dynamical Mean-Field Theory. We use the charge compressibility to analyse the stability of the technique and conclude that it's stable in a broad region of parameters.

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          From quantum matter to high-temperature superconductivity in copper oxides.

          The discovery of high-temperature superconductivity in the copper oxides in 1986 triggered a huge amount of innovative scientific inquiry. In the almost three decades since, much has been learned about the novel forms of quantum matter that are exhibited in these strongly correlated electron systems. A qualitative understanding of the nature of the superconducting state itself has been achieved. However, unresolved issues include the astonishing complexity of the phase diagram, the unprecedented prominence of various forms of collective fluctuations, and the simplicity and insensitivity to material details of the 'normal' state at elevated temperatures.

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