Critical properties of the metal-insulator transition in anisotropic systems

Details Critical properties of the metal-insulator transition in anisotropic systems Critical properties of the metal-insulator transition in anisotropic systems

1999-11-03

arxiv.org/abs/cond-mat/9911029v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, 7 figures, requires svjour.csl and svepj.clo (included), submitted to EPJB

Scientific paper

10.1007/s100510051173

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 $W_c$ obtained are consistent with results of previous studies, including multifractal analysis of the wave functions and energy level statistics. $W_c$ 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 $\nu=1.62\pm0.07$. This is in agreement with its value in the isotropic case and in other models of the orthogonal universality class.

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