{
  "id": "cond-mat/0509709",
  "version": "v2",
  "published": "2005-09-27T20:52:11.000Z",
  "updated": "2006-05-15T15:41:07.000Z",
  "title": "Edge and Surface States in the Quantum Hall Effect in Graphene",
  "authors": [
    "A. H. Castro Neto",
    "F. Guinea",
    "N. M. R. Peres"
  ],
  "comment": "9 pages, 6 figures. This is the final and extended version of our manuscript that was published in Physical Review B. It contains a detailed discussion on the effects of disorder on the surface and edge states in graphene",
  "journal": "Physical Review B 73, 205408 (2006)",
  "doi": "10.1103/PhysRevB.73.205408",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge states (generated by the magnetic field) and Anderson-localized surface states (created by the presence of zig-zag edges) lead to edge reconstruction. As a consequence, the point contact tunneling on a graphene edge has a non-universal tunneling exponent, and the Hall conductivity is not perfectly quantized in units of $e^2/h$. We argue that the magneto-transport properties of graphene depend strongly on the strength of electron-electron interactions, the amount of disorder, and the details of the edges.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-15T15:41:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surface states",
      "fractional quantum hall effect",
      "electron-electron interactions",
      "delocalized chiral edge states",
      "non-universal tunneling exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}