Asymptotic behaviour of the recursion method for disordered systems

D Weaire; C H Hodges

doi:10.1088/0022-3719/12/10/004

Asymptotic behaviour of the recursion method for disordered systems

D Weaire, C H Hodges

School of Engineering & Physical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 language	English
Article number	004
Pages (from-to)	L375-L377
Journal	Journal of Physics C: Solid State Physics
Volume	12
Issue number	10
DOIs	https://doi.org/10.1088/0022-3719/12/10/004
Publication status	Published - 1979

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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.",

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Asymptotic behaviour of the recursion method for disordered systems

Abstract

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