The Anderson metal-insulator transition in the presence of scale-free disorder
UNSPECIFIED. (2004) The Anderson metal-insulator transition in the presence of scale-free disorder. EUROPHYSICS LETTERS, 68 (5). pp. 678-684. ISSN 0295-5075Full text not available from this repository.
Official URL: http://dx.doi.org/10.1209/epl/i2004-10267-5
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|
|Official Date:||December 2004|
|Number of Pages:||7|
|Page Range:||pp. 678-684|
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