Physics – Condensed Matter – Superconductivity
Scientific paper
2004-11-25
New Journal of Physics 7, 7 (2005)
Physics
Condensed Matter
Superconductivity
10 pages, 8 figures
Scientific paper
10.1088/1367-2630/7/1/007
The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this case we obtain a first-order pairing transition between a metallic phase and a paired phase formed by strongly coupled incoherent pairs. The transition line ends in a finite temperature critical point, but a crossover between two qualitatively different solutions still occurs at higher temperature. Comparing the superconducting and the normal phase solutions, we find that the superconducting instability always occurs before the pairing transition in the normal phase takes place, i.e., $T_c > T_{pairing}$. Nevertheless, the high-temperature phase diagram at $T > T_c$ is still characterized by a crossover from a metallic phase to a preformed pair phase. We characterize this crossover by computing different observables that can be used to identify the pseudogap region, like the spin susceptibility, the specific heat and the single-particle spectral function.
Barone Paolo
Capone Massimo
Castellani Claudio
Toschi Alessandro
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