Localization in a highly correlated potential landscape

A. Bunde, S. Havlin, J. W. Kantelhardt, S. Russ, I. Webman

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


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.

Original languageEnglish
Pages (from-to)151-161
Number of pages11
JournalJournal of Molecular Liquids
Issue number1
StatePublished - Jun 2000
EventThe Polish-Israeli-German Symposium 'Dynamical Processes in Condensed Molecular Systems' - Cracow, Pol
Duration: 19 Jun 199923 Jun 1999

Bibliographical note

Funding Information:
We thank the German Israeli Foundation and the Minerva Foundation for financial support.


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