Effect of Anisotropy on the Localization in a Bifractal System

Details Effect of Anisotropy on the Localization in a Bifractal System Effect of Anisotropy on the Localization in a Bifractal System

1997-01-10

arxiv.org/abs/cond-mat/9701065v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, source TeX file and 3 epsi figures. submitted to PRB

Scientific paper

10.1103/PhysRevB.55.11022

Bifractal is a highly anisotropic structure where planar fractals are stacked to form a 3-dimensional lattice. The localization lengths along fractal structure for the Anderson model defined on a bifractal are calculated. The critical disorder and the critical exponent of the localization lengths are obtained from the finite size scaling behavior. The numerical results are in a good agreement with previous results which have been obtained from the localization lengths along the perpendicular direction. This suggests that the anisotropy of the embedding lattice structure is irrelevant to the critical properties of the localization.

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