Divergences of the localization lengths in the two- dimensional, off-diagonal Anderson model on bipartite lattices
arXiv:cond-mat/0209058 · doi:10.1143/JPSJS.72SA.133
Abstract
We investigate the scaling properties of the two-dimensional (2D) Anderson model of localization with purely off-diagonal disorder (random hopping). Using the transfer-matrix method and finite-size scaling we compute the infinite-size localization lengths for bipartite square and hexagonal 2D lattices, non-bipartite triangular lattices and different distribution functions for the hopping elements. We show that for small energies the localization lengths in the bipartite case diverge with a power-law behavior. The corresponding exponents are in the range and seem to depend on the type and the strength of disorder.
proceedings of the International Conference on "Quantum Transport and Quantum Coherence" - Localisation 2002