Anderson localization in a random correlated energy landscape

Stefanie Russ; Jan W. Kantelhardt; Armin Bunde; Shlomo Havlin; Itzhak Webman

doi:10.1016/S0378-4371(98)00637-2

Anderson localization in a random correlated energy landscape

Stefanie Russ, Jan W. Kantelhardt, Armin Bunde, Shlomo Havlin, Itzhak Webman

Department of Physics

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

11 Scopus citations

Abstract

We study the localization of electronic wave functions in the one-dimensional Anderson model with diagonal disorder, where the site energies are long-range correlated. We find different behavior at the band edge and at the band center. Close to the band edge, the correlations lead to a decrease in the localization lengths. At the band center, in contrast, the localization length is drastically enhanced by the correlations. Using level statistics we find strong evidence that also these states remain localized.

Original language	English
Pages (from-to)	492-496
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	266
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(98)00637-2
State	Published - 15 Apr 1999
Event	Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: 14 Jul 1998 → 17 Jul 1998

Bibliographical note

Funding Information:
We wish to thank Shlomo Alexander and Richard Berkovits for valuable discussions and gratefully acknowledge financial support from the Deutsche Forschungsgemeinschaft. One of us (S.R.) has been supported by a Minerva fellowship.

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10.1016/S0378-4371(98)00637-2

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title = "Anderson localization in a random correlated energy landscape",

abstract = "We study the localization of electronic wave functions in the one-dimensional Anderson model with diagonal disorder, where the site energies are long-range correlated. We find different behavior at the band edge and at the band center. Close to the band edge, the correlations lead to a decrease in the localization lengths. At the band center, in contrast, the localization length is drastically enhanced by the correlations. Using level statistics we find strong evidence that also these states remain localized.",

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AU - Russ, Stefanie

AU - Kantelhardt, Jan W.

AU - Bunde, Armin

AU - Havlin, Shlomo

AU - Webman, Itzhak

N1 - Funding Information: We wish to thank Shlomo Alexander and Richard Berkovits for valuable discussions and gratefully acknowledge financial support from the Deutsche Forschungsgemeinschaft. One of us (S.R.) has been supported by a Minerva fellowship.

PY - 1999/4/15

Y1 - 1999/4/15

N2 - We study the localization of electronic wave functions in the one-dimensional Anderson model with diagonal disorder, where the site energies are long-range correlated. We find different behavior at the band edge and at the band center. Close to the band edge, the correlations lead to a decrease in the localization lengths. At the band center, in contrast, the localization length is drastically enhanced by the correlations. Using level statistics we find strong evidence that also these states remain localized.

AB - We study the localization of electronic wave functions in the one-dimensional Anderson model with diagonal disorder, where the site energies are long-range correlated. We find different behavior at the band edge and at the band center. Close to the band edge, the correlations lead to a decrease in the localization lengths. At the band center, in contrast, the localization length is drastically enhanced by the correlations. Using level statistics we find strong evidence that also these states remain localized.

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JO - Physica A: Statistical Mechanics and its Applications

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T2 - Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications

Y2 - 14 July 1998 through 17 July 1998

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Anderson localization in a random correlated energy landscape

Abstract

Bibliographical note

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