Abstract
We investigate the charging energy level statistics of disordered interacting electrons inquantum dots by numerical calculations using the Hartree approximation. The aim is toobtain a global picture of the statistics as a function of disorder and interaction strengths.We find Poisson statistics at very strong disorder, Wigner–Dyson statistics for weakdisorder and interactions, and a Gaussian intermediate regime. These regimes are asexpected from previous studies and fundamental considerations, but we also find interestingand rather broad crossover regimes. In particular, intermediate between the Gaussian andPoisson regimes we find a two-sided exponential distribution for the energy level spacings.In comparing with experiment, we find that this distribution may be realized in somequantum dots.
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