{ "id": "1307.4483", "version": "v4", "published": "2013-07-17T01:55:10.000Z", "updated": "2019-11-20T08:24:03.000Z", "title": "Critical exponent for the Anderson transition in the three dimensional orthogonal universality class", "authors": [ "Keith Slevin", "Tomi Ohtsuki" ], "comment": "Published version. New Journal of Physics, focus issue on 'Frontiers of disorder physics' edited by Maciej Lewenstein, Giovanni Modugno, J\\\"org Schmalian and Costas Soukoulis. Errata added as Appendix B to this version", "journal": "New J. Phys. 16 (2014) 015012", "doi": "10.1088/1367-2630/16/1/015012", "categories": [ "cond-mat.mes-hall", "cond-mat.dis-nn" ], "abstract": "We report a careful finite size scaling study of the metal insulator transition in Anderson's model of localisation. We focus on the estimation of the critical exponent $\\nu$ that describes the divergence of the localisation length. We verify the universality of this critical exponent for three different distributions of the random potential: box, normal and Cauchy. Our results for the critical exponent are consistent with the measured values obtained in experiments on the dynamical localisation transition in the quantum kicked rotor realised in a cold atomic gas.", "revisions": [ { "version": "v3", "updated": "2014-04-01T02:44:09.000Z", "comment": "Published version. New Journal of Physics, focus issue on 'Frontiers of disorder physics' edited by Maciej Lewenstein, Giovanni Modugno, J\\\"org Schmalian and Costas Soukoulis" }, { "version": "v4", "updated": "2019-11-20T08:24:03.000Z" } ], "analyses": { "keywords": [ "dimensional orthogonal universality class", "critical exponent", "anderson transition", "metal insulator transition", "cold atomic gas" ], "tags": [ "journal article" ], "publication": { "journal": "New Journal of Physics", "year": 2014, "month": "Jan", "volume": 16, "number": 1, "pages": "015012", "publisher": "IOP" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014NJPh...16a5012S" } } }