Conference paper

Publication year: 2000

Pages: 151-161

Journal: Journal of Molecular Liquids

Volume number: 86

Issue number: 1-3

ISSN: 0167-7322

eISSN: 1873-3166

DOI Link: https://doi.org/10.1016/S0167-7322(99)00136-1

Conference: Polish-Israeli-German Symposium on Dynamical Processes in Condensed Molecular Systems DPCMS 99

Publisher: Elsevier

Abstract: 
We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with correlated and uncorrelated random potentials. We are interested in the question if a localization-delocalization transition in 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-delocalization transition reported recently only occurs, if the variance of the potential fluctuations is kept fixed for all system sizes. If no constraints on the 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 rights reserved.

Harvard Citation style: Bunde, A., Havlin, S., Kantelhardt, J., Russ, S. and Webman, I. (2000) Localization in a highly correlated potential landscape, Journal of Molecular Liquids, 86(1-3), pp. 151-161. https://doi.org/10.1016/S0167-7322(99)00136-1

APA Citation style: Bunde, A., Havlin, S., Kantelhardt, J., Russ, S., & Webman, I. (2000). Localization in a highly correlated potential landscape. Journal of Molecular Liquids. 86(1-3), 151-161. https://doi.org/10.1016/S0167-7322(99)00136-1