Anderson localization in a random correlated energy landscape

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

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 492-496

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.

Keywords: Anderson model; Long-range correlations; Transfer-matrix method; Level statistics (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:492-496

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

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