{ "id": "1009.1713", "version": "v2", "published": "2010-09-09T09:14:24.000Z", "updated": "2010-10-20T16:18:33.000Z", "title": "Transmission coefficient through a saddle-point electrostatic potential for graphene in the quantum Hall regime", "authors": [ "Martina Flöser", "Thierry Champel", "Serge Florens" ], "comment": "4 pages, 2 figures Minor modifications as published", "journal": "Phys. Rev. B 82,161408 (2010)", "doi": "10.1103/PhysRevB.82.161408", "categories": [ "cond-mat.mes-hall" ], "abstract": "From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic saddle-point electrostatic potential. We find anomalous half-quantized conductance steps that are rounded by a backscattering amplitude related to the curvature of the potential. Furthermore, the conductance in graphene breaks particle-hole symmetry in cases where the saddle-point potential is itself asymmetric in space. These results have implications both for the interpretation of split-gate transport experiments, and for the derivation of quantum percolation models for graphene.", "revisions": [ { "version": "v2", "updated": "2010-10-20T16:18:33.000Z" } ], "analyses": { "subjects": [ "73.43.Jn", "73.43.Cd", "71.70.Di", "73.22.Pr" ], "keywords": [ "quantum hall regime", "transmission coefficient", "quadratic saddle-point electrostatic potential", "graphene breaks particle-hole symmetry", "high magnetic field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Oct", "volume": 82, "number": 16, "pages": 161408 }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82p1408F" } } }