{ "id": "0903.2436", "version": "v2", "published": "2009-03-13T17:21:03.000Z", "updated": "2009-08-10T18:40:04.000Z", "title": "A simple microscopic description of quantum Hall transition without Landau levels", "authors": [ "V. V. Mkhitaryan", "V. Kagalovsky", "M. E. Raikh" ], "comment": "Published version", "journal": "Phys. Rev. Lett. 103, 066801 (2009)", "categories": [ "cond-mat.mes-hall" ], "abstract": "By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a weak magnetic field. Backscattering limits the mobility, while bending initiates quantization of the Hall conductivity. We demonstrate that, in restricted geometry, electron motion reduces to two Chalker-Coddington networks, with opposite directions of propagation along the links, which are weakly coupled by disorder. Interplay of backscattering and bending results in the quantum Hall transition in a non-quantizing magnetic field, which decreases with increasing mobility. This is in accord with scenario of floating up delocalized states.", "revisions": [ { "version": "v2", "updated": "2009-08-10T18:40:04.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "72.15.Rn", "73.20.Fz" ], "keywords": [ "quantum hall transition", "simple microscopic description", "landau levels", "high-mobility 2d electron gas", "electron motion reduces" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "doi": "10.1103/PhysRevLett.103.066801", "year": 2009, "month": "Aug", "volume": 103, "number": 6, "pages": "066801" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvL.103f6801M" } } }