Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-04-05
phys. stat. sol. (b) 241, 2079-2088 (2004).
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, 9 figures, uses PSS style files (included), submitted to phys. stat. sol. (b)
Scientific paper
10.1002/pssb.200404793
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.
Eilmes Andrzej
Roemer Rudolf A.
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