Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.65.066207
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dc.titleLocalization in band random matrix models with and without increasing diagonal elements
dc.contributor.authorWang, W.-G.
dc.date.accessioned2014-10-16T09:31:06Z
dc.date.available2014-10-16T09:31:06Z
dc.date.issued2002-06
dc.identifier.citationWang, W.-G. (2002-06). Localization in band random matrix models with and without increasing diagonal elements. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 65 (6) : 066207/1-066207/8. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.65.066207
dc.identifier.issn15393755
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/97085
dc.description.abstractIt is shown that localization of eigenfunctions in the Wigner band random matrix model with increasing diagonal elements can be related to localization in a band random matrix model with random diagonal elements. The relation is obtained by making use of a result of a generalization of Brillouin-Wigner perturbation theory, which shows that reduced Hamiltonian matrices with relatively small dimensions can be introduced for nonperturbative parts of eigenfunctions, and by employing intermediate basis states, which can improve the method of the reduced Hamiltonian matrix. The latter model deviates from the standard band random matrix model mainly in two aspects: (i) the root mean square of diagonal elements is larger than that of off-diagonal elements within the band, and (ii) statistical distributions of the matrix elements are close to the Lévy distribution in their central parts, except in the high top regions. © 2002 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.65.066207
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevE.65.066207
dc.description.sourcetitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.description.volume65
dc.description.issue6
dc.description.page066207/1-066207/8
dc.description.codenPLEEE
dc.identifier.isiut000176762900046
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