Localization in a highly correlated potential landscape

Citation
A. Bunde et al., Localization in a highly correlated potential landscape, J MOL LIQ, 86(1-3), 2000, pp. 151-161
Citations number
37
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF MOLECULAR LIQUIDS
ISSN journal
01677322 → ACNP
Volume
86
Issue
1-3
Year of publication
2000
Pages
151 - 161
Database
ISI
SICI code
0167-7322(200006)86:1-3<151:LIAHCP>2.0.ZU;2-8
Abstract
We discuss the localization behavior of quantum particles in a one-dimensio nal Anderson model with correlated and uncorrelated random potentials. We a re interested in the question if a localization-delocalization transition i n these systems can occur and what the conditions are that allow for such a transition between localized and extended states. For the particular case of self-affine potential landscapes we show that a localization-delocalizat ion transition reported recently only occurs, if the variance of the potent ial fluctuations is kept fixed for all system sizes. If no constraints on t he variance are imposed, a new type of "strong" localization occurs in self -affine systems, All states are strongly localized in a way different from the usual Anderson localized states. (C) 2000 Elsevier Science B.V. All rig hts reserved.