Institut für Physik, Technische Universit?t, 09107 Chemnitz, Germany, DE
Abstract:
We study the three-dimensional Anderson model of localization with anisotropic hopping, i.e., weakly coupled chains and weakly coupled planes. In our extensive numerical study we identify and characterize the metal-insulator
transition by means of the transfer-matrix method. The values of the critical disorder obtained are consistent with results of previous studies, including multifractal analysis of the wave functions and energy-level
statistics. decreases from its isotropic value with a power law as a function of anisotropy. Using high accuracy data for large system
sizes we estimate the critical exponent as . This is in agreement with its value in the isotropic case and in other models of the orthogonal universality class.
Received 25 October 1999