Statistics of energy spectra of a strongly disordered system of interacting electrons

R. Berkovits, B. I. Shklovskii

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34 Scopus citations

Abstract

The statistics of many-particle energy levels of a finite two-dimensional system of interacting electrons is studied numerically. It is shown that the statistics of these levels undergoes a Poisson-to-Wigner crossover as the strength of the disorder is decreased. This crossover occurs at a similar strength of disorder to the one-electron delocalization crossover in a finite two-dimensional system and develops almost simultaneously at all energies. We interpret this crossover in terms of delocalization in the space of occupation numbers of strongly bound and compact electron-hole pairs (excitons).

Original languageEnglish (US)
Pages (from-to)779-786
Number of pages8
JournalJournal of Physics Condensed Matter
Volume11
Issue number3
DOIs
StatePublished - 1999

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