{ "id": "cond-mat/0104394", "version": "v1", "published": "2001-04-20T15:30:19.000Z", "updated": "2001-04-20T15:30:19.000Z", "title": "Symmetry, dimension and the distribution of the conductance at the mobility edge", "authors": [ "Marc Ruhlander", "Peter Markos", "C. M. Soukoulis" ], "comment": "4 pages REVTeX, 5 figures and 2 tables included", "categories": [ "cond-mat.dis-nn" ], "abstract": "The probability distribution of the conductance at the mobility edge, $p_c(g)$, in different universality classes and dimensions is investigated numerically for a variety of random systems. It is shown that $p_c(g)$ is universal for systems of given symmetry, dimensionality, and boundary conditions. An analytical form of $p_c(g)$ for small values of $g$ is discussed and agreement with numerical data is observed. For $g > 1$, $\\ln p_c(g)$ is proportional to $(g-1)$ rather than $(g-1)^2$.", "revisions": [ { "version": "v1", "updated": "2001-04-20T15:30:19.000Z" } ], "analyses": { "keywords": [ "mobility edge", "conductance", "small values", "probability distribution", "boundary conditions" ], "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }