Asymptotic behaviour of the recursion method for disordered systems

D Weaire, C H Hodges

Research output: Contribution to journalArticle

Abstract

An analysis based on a result of Thouless for localisation in one dimension leads to the conclusion that slowly decaying fluctuations of the recursion coefficients reflect the existence of regions of exponentially localised states. The index which characterises this decay is predicted and the resulting value is consistent with recent numerical estimates in two dimensions.

Original languageEnglish
Article number004
Pages (from-to)L375-L377
JournalJournal of Physics C: Solid State Physics
Volume12
Issue number10
DOIs
Publication statusPublished - 1979

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