The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
Abstract
An elementary proof is given of localization for linear operators H = H o + λV, with H o translation invariant, or periodic, and V (·) a random potential, in energy regimes which for weak disorder (λ → 0) are close to the unperturbed spectrum σ (H o). The analysis is within the approach introduced in the recent study of localization at high disorder by Aizenman and Molchanov [4]; the localization regimes discussed in the two works being supplementary. Included also are some general auxiliary results enhancing the method, which now yields uniform exponential decay for the matrix elements <0|P[a,b] exp (−itH)|x> of the spectrally filtered unitary time evolution operators, with [a, b] in the relevant range.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Localization at large disorder and at extreme energies: An elementary derivations
Aizenman, M., & Molchanov, S. (1993) · Communications in Mathematical Physics · doi:10.1007/bf02099760 · Cited by 537
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Metadata
- Authors
- AIZENMAN, M.
- Venue
- Reviews in Mathematical Physics
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1994-01
- Volume
- 06
- Issue
- 05a
- Pages
- 1163-1182
- ISSN
- 0129-055X (ISSN-L)
- 1793-6659
- OpenAlex
- W2065869047
- Cited by
- 244
- References
- 1
- FWCI
- 3.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- AIZENMAN, M. (1994). LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS. Reviews in Mathematical Physics. https://doi.org/10.1142/s0129055x94000419
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