{ "id": "0903.3091", "version": "v2", "published": "2009-03-18T05:23:48.000Z", "updated": "2009-07-24T16:33:52.000Z", "title": "Landau Levels and Quantum Hall Effect in Graphene Superlattices", "authors": [ "Cheol-Hwan Park", "Young-Woo Son", "Li Yang", "Marvin L. Cohen", "Steven G. Louie" ], "comment": "7 pages, 7 figures", "journal": "Phys. Rev. Lett. 103, 046808 (2009)", "doi": "10.1103/PhysRevLett.103.046808", "categories": [ "cond-mat.mes-hall" ], "abstract": "We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac point of graphene. Because of these new zero-energy branches, the Landau levels at charge neutral filling becomes 4(2N+1)-fold degenerate (with N=0,1,2,..., tunable by the potential strength and periodicity) with the corresponding Hall conductivity $\\sigma_{xy}$ showing a step of size 4(2N+1)$e^2/h$. These theoretical findings are robust against variations in the details of the external potential and provide measurable signatures of the unusual electronic structure of graphene superlattices.", "revisions": [ { "version": "v2", "updated": "2009-07-24T16:33:52.000Z" } ], "analyses": { "keywords": [ "quantum hall effect", "graphene superlattices", "landau levels", "appropriate one-dimensional external periodic potential", "original dirac point" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.3091P" } } }