Published April 8, 1985
| Version Published
Journal Article
Open
Some Rigorous Results for the Anderson Model
Creators
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1.
California Institute of Technology
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2.
Stony Brook University
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3.
Division of Physics
Abstract
We discuss two results for the Anderson model of random quantum Hamiltonians: (1) smoothness of the density of states in the one-dimensional model, even in many cases where the potential distribution is not smooth; and (2) a criterion for localization which, among other consequences, implies that certain estimates of Fröhlich and Spencer yield a dense point spectrum for the multidimensional model at large randomness or large energies.
Additional Information
© 1985 American Physical Society. (Received 10 January 1985) Two of us (B.S. and M.T.) would like to thank T. Spencer for valuable discussions related to theorem 1, and one of us (B.S.) would like to thank S. Kotani and T. Spencer for useful discussions related to theorems 2 and 3. This research was partially supported by the National Science Foundation under Grants No. MCS-81-20833, No. MCS-82-01766A01, and No. DMS-84-07099.Attached Files
Published - PhysRevLett.54.1589.pdf
Files
PhysRevLett.54.1589.pdf
Additional details
Identifiers
- Eprint ID
- 85900
- Resolver ID
- CaltechAUTHORS:20180417-104515007
Funding
- NSF
- MCS-81-20833
- NSF
- MCS-82-01766A01
- NSF
- DMS-84-07099
Dates
- Created
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2018-04-17Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department