Exponents of the localization length in the 2D Anderson model with off-diagonal disorder

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.

arXiv comment10 pages, 9 figures, uses PSS style files (included), submitted to phys. stat. sol. (b)

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• Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
• Scaling at chiral quantum critical points in two dimensions
• Single-particle localization in a two-dimensional Rydberg spin system
• Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
• Localization in a strongly disordered system: A perturbation approach