Published April 2012
| public
Journal Article
Localization for Random Operators with Non-monotone Potentials with Exponentially Decaying Correlations
- Creators
- Krüger, Helge
Abstract
I consider random Schrödinger operators with exponentially decaying single site potential, which is allowed to change sign. For this model, I prove Anderson localization both in the sense of exponentially decaying eigenfunctions and dynamical localization. Furthermore, the results imply a Wegner-type estimate strong enough to use in classical forms of multi-scale analysis.
Additional Information
© 2012 Springer Basel AG. Received: May 11, 2011. Accepted: June 11, 2011. Published online July 29, 2011. Communicated by Jean Bellissard. H. K. was supported by NSF grant DMS–0800100, a Nettie S. Auttrey followship, an Erwin Schrödinger junior research fellowship, and a fellowship of the Simons Foundation. I thank Martin Tautenhahn and Ivan Veselić for useful discussions. Parts of the result are slight generalizations from work from my PhD thesis [43]. I thank my advisor David Damanik for his support during the process of writing it.Additional details
- Eprint ID
- 31542
- Resolver ID
- CaltechAUTHORS:20120518-141622592
- DMS-0800100
- NSF
- Nettie S. Auttrey followship
- Erwin Schrödinger Junior Research Fellowship
- Simons Foundation
- Created
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2012-05-21Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field