{ "id": "cond-mat/0405429", "version": "v3", "published": "2004-05-19T08:35:05.000Z", "updated": "2005-01-07T07:36:08.000Z", "title": "Critical level statistics and anomalously localized states at the Anderson transition", "authors": [ "H. Obuse", "K. Yakubo" ], "comment": "8 pages, 5 figures", "journal": "Phys. Rev. B 71, 035102 (2005)", "doi": "10.1103/PhysRevB.71.035102", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "abstract": "We study the level-spacing distribution function $P(s)$ at the Anderson transition by paying attention to anomalously localized states (ALS) which contribute to statistical properties at the critical point. It is found that the distribution $P(s)$ for level pairs of ALS coincides with that for pairs of typical multifractal states. This implies that ALS do not affect the shape of the critical level-spacing distribution function. We also show that the insensitivity of $P(s)$ to ALS is a consequence of multifractality in tail structures of ALS.", "revisions": [ { "version": "v3", "updated": "2005-01-07T07:36:08.000Z" } ], "analyses": { "keywords": [ "anomalously localized states", "critical level statistics", "anderson transition", "level-spacing distribution function", "level pairs" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }