Anomalously localized states in the Anderson model

It is demonstrated that anomalously localized states (ALS) in the Anderson model, being lattice specific, are not related to any of the continuous theories. We identify the spatial structure of ALS on a lattice and calculate their likelihood. Analytical results explain peculiarities in previous nume...

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Bibliographic Details
Published in:Physical review letters 2004-02, Vol.92 (6), p.066601-066601, Article 066601
Main Authors: Apalkov, V M, Raikh, M E, Shapiro, B
Format: Article
Language:English
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Summary:It is demonstrated that anomalously localized states (ALS) in the Anderson model, being lattice specific, are not related to any of the continuous theories. We identify the spatial structure of ALS on a lattice and calculate their likelihood. Analytical results explain peculiarities in previous numerical simulations.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.92.066601