{ "id": "0712.3233", "version": "v3", "published": "2007-12-19T16:55:05.000Z", "updated": "2008-04-17T20:26:23.000Z", "title": "Theory of the valley-valve effect in graphene nanoribbons", "authors": [ "A. R. Akhmerov", "J. H. Bardarson", "A. Rycerz", "C. W. J. Beenakker" ], "comment": "5 pages, 6 figures, v3 added more numerical data and an appendix with details of the calculation", "journal": "Phys. Rev. B vol. 77, 205416, 2008", "doi": "10.1103/PhysRevB.77.205416", "categories": [ "cond-mat.mes-hall" ], "abstract": "A potential step in a graphene nanoribbon with zigzag edges is shown to be an intrinsic source of intervalley scattering -- no matter how smooth the step is on the scale of the lattice constant a. The valleys are coupled by a pair of localized states at the opposite edges, which act as an attractor/repellor for edge states propagating in valley K/K'. The relative displacement Delta along the ribbon of the localized states determines the conductance G. Our result G=(e^{2}/h)[1-\\cos(N\\pi+2\\pi\\Delta/3a)] explains why the ``valley-valve'' effect (the blocking of the current by a p-n junction) depends on the parity of the number N of carbon atoms across the ribbon.", "revisions": [ { "version": "v3", "updated": "2008-04-17T20:26:23.000Z" } ], "analyses": { "subjects": [ "73.20.Fz", "73.23.-b", "73.40.Gk", "73.63.Nm" ], "keywords": [ "graphene nanoribbon", "valley-valve effect", "lattice constant", "carbon atoms", "potential step" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "May", "volume": 77, "number": 20, "pages": 205416 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..77t5416A" } } }