The decimation method and Anderson localization

Weaire, D. and Lambert, Colin (1981) The decimation method and Anderson localization. Journal de Physique, 42 (C4). pp. 47-49. ISSN 0302-0738

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Abstract

We discuss the application of the decimation method to the problem of Anderson localization. In one dimension, the renormalized interactions defined in this method are found to scale towards weak coupling (indicative of localized states) for all values of the strength of (diagonal) disorder. In two dimensions, the interactions appear to scale toward weak/strong coupling for low/high disorder. However the latter results remain puzzling, in that no clear connection between the scaling behaviour and the localization length has emerged.

Item Type: Journal Article
Journal or Publication Title: Journal de Physique
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 58050
Deposited By: ep_importer_pure
Deposited On: 22 Oct 2012 09:23
Refereed?: Yes
Published?: Published
Last Modified: 30 Sep 2019 16:55
URI: https://eprints.lancs.ac.uk/id/eprint/58050

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