{ "id": "cond-mat/9911029", "version": "v1", "published": "1999-11-03T12:45:52.000Z", "updated": "1999-11-03T12:45:52.000Z", "title": "Critical properties of the metal-insulator transition in anisotropic systems", "authors": [ "Frank Milde", "Rudolf A. Römer", "Michael Schreiber", "Ville Uski" ], "comment": "17 pages, 7 figures, requires svjour.csl and svepj.clo (included), submitted to EPJB", "doi": "10.1007/s100510051173", "categories": [ "cond-mat.dis-nn" ], "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 $W_c$ 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.", "revisions": [ { "version": "v1", "updated": "1999-11-03T12:45:52.000Z" } ], "analyses": { "keywords": [ "metal-insulator transition", "anisotropic systems", "critical properties", "three-dimensional anderson model", "energy level statistics" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }