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The Delocalization Problem of Two Interacting Electrons in a Two‐Dimensional Random Potential
Author(s) -
Talamantes J.,
Pollak M.,
Varga I.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200003)218:1<119::aid-pssb119>3.0.co;2-w
Subject(s) - electron , delocalized electron , hamiltonian (control theory) , coulomb , physics , basis (linear algebra) , statistical physics , quantum mechanics , mathematics , geometry , mathematical optimization
The problem of two electrons in a two‐dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis and diagonalizing it exactly. The result of that procedure is discussed in terms of level statistics, and the expectation value of the electron–electron separation.