Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-10-04
J. Phys.: Condens. Matter 19 (2007) 186215
Physics
Condensed Matter
Disordered Systems and Neural Networks
21 pages 10 figures
Scientific paper
10.1088/0953-8984/19/18/186215
We investigate the charging energy level statistics of disordered interacting electrons in quantum dots by numerical calculations using the Hartree approximation. The aim is to obtain 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 weak disorder and interactions, and a Gaussian intermediate regime. These regimes are as expected from previous studies and fundamental considerations, but we also find interesting and rather broad crossover regimes. In particular, intermediate between the Gaussian and Poisson 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 some quantum dots.
Halley Woods J.
Joynt Robert
Nghiem Diu
Tsau Chien-Yu
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