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Exponents of the localization length in the 2D Anderson model with off-diagonal disorder
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UNSPECIFIED (2004) Exponents of the localization length in the 2D Anderson model with off-diagonal disorder. In: Workshop on Modelling and Simulation in Molecular Systems Mesoscopic Structures and Materials Science, Chemnitz, GERMANY, APR 21-23, 2004. Published in: PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 241 (9). pp. 2079-2088. doi:10.1002/pssb.200404793 ISSN 0370-1972.
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Official URL: http://dx.doi.org/10.1002/pssb.200404793
Abstract
We study Anderson localization in two-dimensional systems with purely off-diagonal disorder. Localization lengths are computed by the transfer-matrix method and their finite-size and scaling properties are investigated. We find various numerically challenging differences to the usual problems with diagonal disorder. In particular, the divergence of the localization lengths close to the band centre is investigated in detail for bipartite and non-bipartite lattices as well as different distributions of the off-diagonal disorder. Divergence exponents for the localization lengths are constructed that appear to describe the data well down to at least 10(-5). We find only little evidence for a crossover energy scale below which the power law has been argued to fail. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICA STATUS SOLIDI B-BASIC RESEARCH | ||||
Publisher: | WILEY-V C H VERLAG GMBH | ||||
ISSN: | 0370-1972 | ||||
Official Date: | July 2004 | ||||
Dates: |
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Volume: | 241 | ||||
Number: | 9 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 2079-2088 | ||||
DOI: | 10.1002/pssb.200404793 | ||||
Publication Status: | Published | ||||
Title of Event: | Workshop on Modelling and Simulation in Molecular Systems Mesoscopic Structures and Materials Science | ||||
Location of Event: | Chemnitz, GERMANY | ||||
Date(s) of Event: | APR 21-23, 2004 |
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