Divergences of the Localization Lengths in the Two-Dimensional, Off-Diagonal Anderson Model on Bipartite Lattices | Zendy

Andrzej Eilmes | Zendy; Rudolf A. Römer | Zendy

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Divergences of the Localization Lengths in the Two-Dimensional, Off-Diagonal Anderson Model on Bipartite Lattices

Author(s) -

Andrzej Eilmes,

Rudolf A. Römer

Publication year - 2003

Publication title -

journal of the physical society of japan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.76

H-Index - 139

eISSN - 1347-4073

pISSN - 0031-9015

DOI - 10.1143/jpsjs.72sa.133

Subject(s) - bipartite graph , scaling , diagonal , anderson localization , physics , anderson impurity model , transfer matrix , statistical physics , square (algebra) , range (aeronautics) , power law , condensed matter physics , combinatorics , mathematics , quantum mechanics , geometry , materials science , statistics , graph , computer science , composite material , computer vision , electron

We investigate the scaling properties of the two-dimensional (2D) Andersonmodel of localization with purely off-diagonal disorder (random hopping). Usingthe transfer-matrix method and finite-size scaling we compute the infinite-sizelocalization lengths for bipartite square and hexagonal 2D lattices,non-bipartite triangular lattices and different distribution functions for thehopping elements. We show that for small energies the localization lengths inthe bipartite case diverge with a power-law behavior. The correspondingexponents are in the range $0.2 - 0.6$ and seem to depend on the type and thestrength of disorder.Comment: proceedings of the International Conference on "Quantum Transport and Quantum Coherence" - Localisation 200

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