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Quantum ergodicity for electrons in two dimensions

Dima L. Shepelyansky·Pil Hun Song
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Abstract

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way similar to the Anderson transition in 3D. The localized phase corresponds to large values of the parameter r_s, which is determined by the ratio of the Coulomb and Fermi energies. The numerical investigations of the spectral statistics P(s) in a system with up to N_p=30 spin polarized electrons show the transition from the Poisson to the Wigner-Dyson distribution at a total electron energy independent of N_p. The relation to experiments on the metal-insulator transition in 2D is also discussed.

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Dima L. Shepelyansky, Pil Hun Song. 1999-08-06. Quantum ergodicity for electrons in two dimensions. https://doi.org/10.1002/(sici)1521-3889(199911)8%3A7%2F9%3C665%3A%3Aaid-andp665%3E3.0.co%3B2-f

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