{ "id": "cond-mat/0603796", "version": "v1", "published": "2006-03-29T16:34:45.000Z", "updated": "2006-03-29T16:34:45.000Z", "title": "Conductance fluctuations in the localized regime", "authors": [ "A. M. Somoza", "J. Prior", "M. Ortuno" ], "comment": "5 figures. accepted in PRB", "categories": [ "cond-mat.dis-nn" ], "abstract": "We have studied numerically the fluctuations of the conductance, $g$, in two-dimensional, three-dimensional and four-dimensional disordered non-interacting systems. We have checked that the variance of $\\ln g$ varies with the lateral sample size as $L^{2/5}$ in three-dimensional systems, and as a logarithm in four-dimensional systems. The precise knowledge of the dependence of this variance with system size allows us to test the single-parameter scaling hypothesis in three-dimensional systems. We have also calculated the third cumulant of the distribution of $\\ln g$ in two- and three-dimensional systems, and have found that in both cases it diverges with the exponent of the variance times 3/2, remaining relevant in the large size limit.", "revisions": [ { "version": "v1", "updated": "2006-03-29T16:34:45.000Z" } ], "analyses": { "keywords": [ "conductance fluctuations", "localized regime", "three-dimensional systems", "four-dimensional disordered non-interacting systems", "variance times" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006cond.mat..3796S" } } }