Andrzej Eilmes, Rudolf A. Roemer
Published 2004-04-05Version 1
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.
Comments: 10 pages, 9 figures, uses PSS style files (included), submitted to phys. stat. sol. (b)
Journal: phys. stat. sol. (b) 241, 2079-2088 (2004).
Two-dimensional systems of elongated particles: From diluted to dense
The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
A renormalization approach for the 2D Anderson model at the band edge: Scaling of the localization volume
