Anderson localisation and the recursion method

D Weaire; C H Hodges

doi:10.1088/0022-3719/11/16/002

Anderson localisation and the recursion method

D Weaire, C H Hodges

School of Engineering & Physical Sciences

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

9 Citations (Scopus)

Abstract

The application of the recursion method to a disordered system is considered. It is argued that in this case the recursion coefficients a _n and b_n will continue to fluctuate at infinity and that these fluctuations are due to localised states. They may be related to the inverse participation ratio of such states. Numerical calculations corroborate this interpretation quantitatively.

Original language	English
Article number	002
Pages (from-to)	L685-L689
Journal	Journal of Physics C: Solid State Physics
Volume	11
Issue number	16
DOIs	https://doi.org/10.1088/0022-3719/11/16/002
Publication status	Published - 1978

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AB - The application of the recursion method to a disordered system is considered. It is argued that in this case the recursion coefficients a n and bn will continue to fluctuate at infinity and that these fluctuations are due to localised states. They may be related to the inverse participation ratio of such states. Numerical calculations corroborate this interpretation quantitatively.

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DO - 10.1088/0022-3719/11/16/002

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JO - Journal of Physics C: Solid State Physics

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Anderson localisation and the recursion method

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