The DOI matches its Crossref record; 162 of the 162 references it cites were found in a registry or an index.
Anomalous localization in low-dimensional systems with correlated disorder
Open accessAbstract
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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1 retracted
Metal–insulator transition in chains with correlated disorder
Carpena, P., Bernaola-Galván, P., Ivanov, P. C., & Stanley, H. E. (2002) · Nature · doi:10.1038/nature00948 · Cited by 206
RetractedAn introduction to probability theory and its applications
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Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
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The random walk's guide to anomalous diffusion: a fractional dynamics approach
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Composite Medium with Simultaneously Negative Permeability and Permittivity
Smith, D. R., Padilla, W. J., Vier, D. C., Nemat-Nasser, S. C., & Schultz, S. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4184 · Cited by 8,831
Experimental Verification of a Negative Index of Refraction
Shelby, R. A., Smith, D. R., & Schultz, S. (2001) · Science · doi:10.1126/science.1058847 · Cited by 8,347
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Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
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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
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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.
