Effect of anisotropy on the localization in a bifractal system

P. H. Song, Doochul Kim
1997 Physical Review B (Condensed Matter)  
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
more » ... ection. This suggests that the anisotropy of the embedding lattice structure is irrelevant to the critical properties of the localization.
doi:10.1103/physrevb.55.11022 fatcat:kdttk7h57nesrmte42uyoblag4