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Disordered Hubbard model with attraction: The coupling energy of Cooper pairs in small clusters

José Lages, Giuliano Benenti, Dima L. Shepelyansky

DOI 10.1103/PhysRevB.63.214516 · Physical Review B

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Abstract

We generalize the Cooper problem to the case of many interacting particles in the vicinity of the Fermi level in the presence of disorder. On the basis of this approach we study numerically the variation of the pair coupling energy in small clusters as a function of disorder. We show that the Cooper pair energy is strongly enhanced by disorder, which at the same time leads to the localization of pairs.

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