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dc.contributor.authorEleuch, Hichem
dc.contributor.authorHilke, M
dc.date.accessioned2018-03-25T12:18:53Z
dc.date.available2018-03-25T12:18:53Z
dc.date.issued2015-09-01
dc.identifier.urihttps://dspace.adu.ac.ae/handle/1/819
dc.descriptionEleuch, H., & Hilke, M. (2015). Localization and delocalization for strong disorder in one-dimensional continuous potentials. New Journal of Physics, 17(8), 083061.
dc.description.abstractIn one-dimension and for discrete uncorrelated random potentials, such as tight binding models, all states are localized for any disorder strength. This is in contrast to continuous random potentials, where we show here that regardless of the strength of the random potential, we have delocalization in the limit where the roughness length goes to zero. This result was obtained by deriving an expression for the localization length valid for all disorder strengths.Wesolved a nonlinear wave equation, whose average over disorder yields the localization properties of the desired linear wave equation. Our results, not only explain the origin of the difficulty to observe localization in certain physical systems, but also show that maximum localization occurs when the roughness length is comparable to the wavelength, which is relevant to many experiments in a random medium.en_US
dc.language.isoen_USen_US
dc.publisherIOP PUBLISHINGen_US
dc.subjectDisordered Mediumen_US
dc.subjectAnderson Localizationen_US
dc.subjectDelocalizationen_US
dc.titleLocalization and delocalization for strong disorder in one-dimensional continuous potentialsen_US
dc.typeArticleen_US
dcterms.subjectDisorder
dc.identifier.doihttps://doi.org/10.1088/1367-2630/17/8/083061


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