Thouless numbers for few-particle systems with disorder and interactions

Details Thouless numbers for few-particle systems with disorder and interactions Thouless numbers for few-particle systems with disorder and interactions

1997-05-13

arxiv.org/abs/cond-mat/9705113v2

J. Phys. I France 7 (1997) 1559-1581

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, RevTeX, final version, to appear in Journal de Physique

Scientific paper

10.1051/jp1:1997100

Considering N spinless Fermions in a random potential, we study how a short range pairwise interaction delocalizes the N-body states in the basis of the one-particle Slater determinants, and the spectral rigidity of the N-body spectrum. The maximum number g_N of consecutive levels exhibiting the universal Wigner-Dyson rigidity (the Thouless number) is given as a function of the strength U of the interaction for the bulk of the spectrum. In the dilute limit, one finds two thresholds: When U

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