Anderson localization in a random correlated energy landscape

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

Research output: Contribution to journalConference articlepeer-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 languageEnglish
Pages (from-to)492-496
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume266
Issue number1-4
DOIs
StatePublished - 15 Apr 1999
EventProceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger
Duration: 14 Jul 199817 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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