{ "id": "0709.2005", "version": "v1", "published": "2007-09-13T07:49:41.000Z", "updated": "2007-09-13T07:49:41.000Z", "title": "Divergence of effective mass in 'Uncorrelated State Percolation' Model", "authors": [ "Seyyed Mahdi Fazeli", "Keivan Esfarjani" ], "comment": "5 pages, 5 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We want to answer the question of whether the divergence in the effective mass in metal-insulator transition (MIT) in 2DEG is in the same universality class as percolation. We use a model to make Percolated state in 2D and then calculate the effective mass in a super-cell and the Bloch Theorem. It is seen that the effective mass, m*, scales as m*~(P-Pc)^a with a=1 and Pc being the (classical) percolation threshold.", "revisions": [ { "version": "v1", "updated": "2007-09-13T07:49:41.000Z" } ], "analyses": { "keywords": [ "effective mass", "uncorrelated state percolation", "divergence", "metal-insulator transition", "universality class" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.2005M" } } }