Spin gap and superconductivity in the three-dimensional attractive Hubbard model
Raimundo R. dos Santos
DOI 10.1103/PhysRevB.50.635 · Physical Review B
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Abstract
We study the phase diagram for the attractive (i.e., negative-U) Hubbard model on a simple-cubic lattice, through Monte Carlo simulations. We obtain the critical temperature Tc for superconductivity from a finite-size scaling analysis of the data for the pairing correlations. For fixed on-site attraction U, Tc displays a maximum near the filling factor 0.9, roughly independent of U. For fixed filling we estimate the crossover temperature T×(U), separating the normal states: metallic and spin gap. There is also a critical value Up for pair formation, the magnitude of which seems to be independent of doping. The relevance of these results to the high-Tc oxides is discussed.
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