{ "id": "cond-mat/0409591", "version": "v1", "published": "2004-09-22T16:18:54.000Z", "updated": "2004-09-22T16:18:54.000Z", "title": "Hall conductivity as a topological invariant", "authors": [ "A. Kunold", "M. Torres" ], "comment": "6 pages", "doi": "10.1002/pssb.200460762", "categories": [ "cond-mat.mes-hall" ], "abstract": "The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field and perpendicular magnetic field. We refer to this as the two dimensional electric-magnetic Bloch problem (EMB). The Hall conductivity quatizations beyond the linear response approximation is analyzed.", "revisions": [ { "version": "v1", "updated": "2004-09-22T16:18:54.000Z" } ], "analyses": { "keywords": [ "topological invariant", "dimensional electric-magnetic bloch problem", "perpendicular magnetic field", "quantum hall effect", "applied in-plain electric field" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }