{ "id": "cond-mat/9710176", "version": "v2", "published": "1997-10-17T12:22:21.000Z", "updated": "1999-04-20T15:40:01.000Z", "title": "One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions", "authors": [ "Imre Varga", "Etienne Hofstetter", "Janos Pipek" ], "comment": "4 pages in PS including 3 figures", "journal": "Phys. Rev. Lett 82, 4683 (1999)", "doi": "10.1103/PhysRevLett.82.4683", "categories": [ "cond-mat.dis-nn" ], "abstract": "Based on the spectral statistics obtained in numerical simulations on three dimensional disordered systems within the tight--binding approximation, a new superuniversal scaling relation is presented that allows us to collapse data for the orthogonal, unitary and symplectic symmetry ($\\beta=1,2,4$) onto a single scaling curve. This relation provides a strong evidence for one-parameter scaling existing in these systems which exhibit a second order phase transition. As a result a possible one-parameter family of spacing distribution functions, $P_g(s)$, is given for each symmetry class $\\beta$, where $g$ is the dimensionless conductance.", "revisions": [ { "version": "v2", "updated": "1999-04-20T15:40:01.000Z" } ], "analyses": { "keywords": [ "metal-insulator transition", "one-parameter superscaling", "dimensions", "second order phase transition", "superuniversal scaling relation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }