Premium
Quantum ergodicity for electrons in two dimensions
Author(s) -
Shepelyansky Dima L.,
Song Pil Hun
Publication year - 1999
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199911)8:7/9<665::aid-andp665>3.0.co;2-f
Subject(s) - physics , electron , delocalized electron , condensed matter physics , coulomb , atomic physics , quantum phase transition , ergodicity , lattice (music) , phase transition , quantum mechanics , acoustics
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.