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Localization in Random Systems I. Effect of Off‐Diagonal Disorder
Author(s) -
Brezini A.,
Sebbani M.,
Dahmani L.
Publication year - 1986
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.2221370228
Subject(s) - diagonal , randomness , hamiltonian (control theory) , physics , limit (mathematics) , mathematics , condensed matter physics , statistical physics , mathematical analysis , geometry , statistics , mathematical optimization
The question of localization is examined in a tight‐binding Hamiltonian. The present method is based on a self‐consistent theory reproducing correctly the band edge in the limit of zero disorder. Randomness is introduced also in the off‐diagonal elements. In a purely diagonal disorder it is found that the results for the critical disorder W c for which the Anderson transition appears are in good agreement with other theories while for a purely off‐diagonal disorder the states around the middle of the band remain extended.