Localization in a highly correlated potential landscape

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

doi:10.1016/s0167-7322(99)00136-1

Localization in a highly correlated potential landscape

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

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	151-161
Number of pages	11
Journal	Journal of Molecular Liquids
Volume	86
Issue number	1
DOIs	https://doi.org/10.1016/s0167-7322(99)00136-1
State	Published - Jun 2000
Event	The Polish-Israeli-German Symposium 'Dynamical Processes in Condensed Molecular Systems' - Cracow, Pol Duration: 19 Jun 1999 → 23 Jun 1999

Bibliographical note

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

Funding

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

Funders
German Israeli Foundation
Minerva Foundation

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10.1016/s0167-7322(99)00136-1

Cite this

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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.",

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AU - Havlin, S.

AU - Kantelhardt, J. W.

AU - Russ, S.

AU - Webman, I.

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AB - 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.

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ER -

Localization in a highly correlated potential landscape

Abstract

Bibliographical note

Funding

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