Published July 3, 1995
| Published
Journal Article
Open
What is Localization?
- Creators
- Del Rio, R.
- Jitomirskaya, S.
- Last, Y.
-
Simon, B.
Abstract
We examine various issues relevant to localization in the Anderson model. We show there is more to localization than exponentially localized states by presenting an example with such states but where ⟨x(t)^2⟩/t^(2 − δ) is unbounded for any δ > 0. We show that the recently discovered instability of localization under rank one perturbations is only a weak instability.
Additional Information
© 1995 American Physical Society. (Received 22 March 1995) We would like to thank J. Avron and A. Klein for useful discussions. The work of S.J. was supported by the National Science Foundation under Grant No. DMS-9208029. The work of B.S. was supported by the National Science Foundation under Grant No. DMS-9401491.Attached Files
Published - PhysRevLett.75.117.pdf
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PhysRevLett.75.117.pdf
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Additional details
- Eprint ID
- 85833
- Resolver ID
- CaltechAUTHORS:20180413-113435667
- DMS-9208029
- NSF
- DMS-9401491
- NSF
- Created
-
2018-04-13Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field