Volume 68, Number 5, December 2004
|Page(s)||678 - 684|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||05 November 2004|
The Anderson metal-insulator transition in the presence of scale-free disorder
Department of Physics and Centre for Scientific Computing, University of Warwick Coventry, CV4 7AL, UK
2 Institut für Physik, Technische Universität Chemnitz - 09107 Chemnitz, Germany
Accepted: 8 October 2004
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 decaying asymptotically as . We study the dependence of the localization length exponent ν on the correlation strength exponent α. For fixed disorder W, there is a critical , such that for , and for , ν remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, ν is independent of α but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed.
PACS: 71.30.+h – Metal-insulator transitions and other electronic transitions / 72.10.Bg – General formulation of transport theory / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, 2004
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