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The Anderson metal-insulator transition in the presence of scale-free disorder

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UNSPECIFIED. (2004) The Anderson metal-insulator transition in the presence of scale-free disorder. EUROPHYSICS LETTERS, 68 (5). pp. 678-684. ISSN 0295-5075

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Official URL: http://dx.doi.org/10.1209/epl/i2004-10267-5

Abstract

We investigate the three-dimensional Anderson model of localization via a modified transfer matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function g(r) decaying asymptotically as r(-alpha). We study the dependence of the localization length exponent nu on the correlation strength exponent alpha. For fixed disorder W, there is a critical alpha(c), such that for alpha<alpha(c), nu=2/alpha and for alpha>alpha(c),. nu remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, nu is independent of alpha but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: EUROPHYSICS LETTERS
Publisher: E D P SCIENCES
ISSN: 0295-5075
Date: December 2004
Volume: 68
Number: 5
Number of Pages: 7
Page Range: pp. 678-684
Identification Number: 10.1209/epl/i2004-10267-5
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/7750

Data sourced from Thomson Reuters' Web of Knowledge

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