| Issue |
Europhys. Lett.
Volume 68, Number 5, December 2004
|
|
|---|---|---|
| Page(s) | 678 - 684 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2004-10267-5 | |
| Published online | 05 November 2004 | |
The Anderson metal-insulator transition in the presence of scale-free disorder
1
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
Received:
27
April
2004
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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