{ "id": "cond-mat/0106005", "version": "v1", "published": "2001-06-01T08:54:00.000Z", "updated": "2001-06-01T08:54:00.000Z", "title": "The critical exponent of the localization length at the Anderson transition in 3D disordered systems is larger than 1", "authors": [ "P. Cain", "M. L. Ndawana", "R. A. Römer", "M. Schreiber" ], "comment": "2 RevTeX pages, 1 figure", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "abstract": "In a recent communication to the cond-mat archives, Suslov [cond-mat/0105325] severely criticizes a multitude of numerical results obtained by various groups for the critical exponent $\\nu$ of the localization length at the disorder-induced metal-insulator transition in the three-dimensional Anderson model of localization as ``entirely absurd'' and ``evident desinformation''. These claims are based on the observation that there still is a large disagreement between analytical, numerical and experimental results for the critical exponent. The author proposes, based on a ``simple procedure to deal with corrections to scaling'', that the numerical data support nu approx 1, whereas recent numerical papers find nu = 1.58 +/- 0.06. As we show here, these claims are entirely wrong. The proposed scheme does neither yield any improved accuracy when compared to the existing finite-size scaling methods, nor does it give nu approx 1 when applied to high-precision data. Rather, high-precision numerics with error epsilon approx 0.1% together with all available finite-size-scaling methods evidently produce a critical exponent nu approx 1.58.", "revisions": [ { "version": "v1", "updated": "2001-06-01T08:54:00.000Z" } ], "analyses": { "keywords": [ "critical exponent", "3d disordered systems", "localization length", "anderson transition", "numerical data support nu approx" ], "note": { "typesetting": "RevTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001cond.mat..6005C" } } }