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Effects of Electron–Electron Interactions on the Nature of the Eigenstates in Amorphous Materials
Author(s) -
Brezini A.,
Bendaoud M.,
Sebbani M.,
Behilil F.
Publication year - 1988
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/pssb.2221480121
Subject(s) - electron , electron localization function , eigenvalues and eigenvectors , condensed matter physics , hubbard model , physics , materials science , quantum mechanics , superconductivity
Abstract A Hubbard model with random site energies is used to investigate the electron localization effects associated with both disorder and electron‐electron interactions on a Cayley tree. Extensive results are reported on the ground states properties of the system. In particular, two regimes are found: if the electron–electron interaction parameter U is greater than the disorder parameter W , it appears to be significant in localizing electronic states otherwise it may be viewed as weakly perturbating the effects of the disorder.