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Anomalous localization in low-dimensional systems with correlated disorder
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Abstract This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the models with continuous potentials, the tight-binding models of the Anderson type, and various Kronig–Penney models with different types of perturbations. Main attention is paid to the methods of obtaining the localization length in dependence on the controlling parameters of the models. Specific interest is in an emergence of effective mobility edges due to certain long-range correlations in a disorder. The predictions of the theoretical and numerical analysis are compared to recent experiments on microwave transmission through randomly filled waveguides.
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Cited by
Picozzi, A., Garnier, J., Hansson, T., Suret, P., Randoux, S., Millot, G., & Christodoulides, D. N. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.03.002 · Cited by 275
Metadata
- Authors
- Izrailev, F. M., Krokhin, A. A., & Makarov, N. M.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2012-03
- Volume
- 512
- Issue
- 3
- Pages
- 125-254
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W1995175414
- Cited by
- 274
- References
- 162
- FWCI
- 22.94
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.