Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.65.066207
Title: Localization in band random matrix models with and without increasing diagonal elements
Authors: Wang, W.-G. 
Issue Date: Jun-2002
Source: Wang, 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
Abstract: It 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.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/97085
ISSN: 15393755
DOI: 10.1103/PhysRevE.65.066207
Appears in Collections:Staff Publications

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