{ "id": "1009.0412", "version": "v2", "published": "2010-09-02T12:47:23.000Z", "updated": "2010-09-30T08:00:02.000Z", "title": "On the role of the symmetry parameter $β$ in the strongly localized regime", "authors": [ "P. Markos", "L. Schweitzer" ], "journal": "Phys. Rev. B 82 113412 (2010)", "doi": "10.1103/PhysRevB.82.113412", "categories": [ "cond-mat.dis-nn" ], "abstract": "The generalization of the Dorokhov-Mello-Pereyra-Kumar equation for the description of transport in strongly disordered systems replaces the symmetry parameter $\\beta$ by a new parameter $\\gamma$, which decreases to zero when the disorder strength increases. We show numerically that although the value of $\\gamma$ strongly influences the statistical properties of transport parameters $\\Delta$ and of the energy level statistics, the form of their distributions always depends on the symmetry parameter $\\beta$ even in the limit of strong disorder. In particular, the probability distribution is $p(\\Delta)\\sim \\Delta^\\beta$ when $\\Delta\\to 0$ and $p(\\Delta) \\sim \\exp (-c\\Delta^2)$ in the limit $\\Delta\\to\\infty$.", "revisions": [ { "version": "v2", "updated": "2010-09-30T08:00:02.000Z" } ], "analyses": { "subjects": [ "73.23.-b", "71.30.+h", "72.10.-d" ], "keywords": [ "symmetry parameter", "strongly localized regime", "energy level statistics", "disorder strength increases", "distribution" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Sep", "volume": 82, "number": 11, "pages": 113412 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82k3412M" } } }