{ "id": "cond-mat/0703190", "version": "v2", "published": "2007-03-07T17:39:34.000Z", "updated": "2007-05-30T08:48:53.000Z", "title": "Conductance quantization in graphene nanoribbons: Adiabatic approximation", "authors": [ "M. I. Katsnelson" ], "comment": "final version (European Physical Journal B, Rapid Notes, accepted)", "journal": "Eur. Phys. J. B 57, 225-228 (2007)", "doi": "10.1140/epjb/e2007-00168-5", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for the massless Dirac fermions in graphene than for the conventional electron gas. For the case of zigzag boundary conditions, one can expect a well-pronounced conductance quantization only for highly excited states. This difference is related to the relativistic Zitterbewegung effect in graphene.", "revisions": [ { "version": "v2", "updated": "2007-05-30T08:48:53.000Z" } ], "analyses": { "keywords": [ "graphene nanoribbons", "relativistic zitterbewegung effect", "standard adiabatic approximation", "zigzag boundary conditions", "conventional electron gas" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal B", "year": 2007, "month": "Jun", "volume": 57, "number": 3, "pages": 225 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007EPJB...57..225K" } } }