Divergences of the localization lengths in the two- dimensional, off-diagonal Anderson model on bipartite lattices

Details Divergences of the localization lengths in the two- dimensional, off-diagonal Anderson model on bipartite lattices Divergences of the localization lengths in the two- dimensional, off-diagonal Anderson model on bipartite lattices

2002-09-03

arxiv.org/abs/cond-mat/0209058v1

J. Phys. Soc. Jpn. 72 Suppl. A, 133-134 (2003).

Physics

Condensed Matter

Disordered Systems and Neural Networks

proceedings of the International Conference on "Quantum Transport and Quantum Coherence" - Localisation 2002

Scientific paper

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 $0.2 - 0.6$ and seem to depend on the type and the strength of disorder.

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