{
  "id": "1303.3488",
  "version": "v3",
  "published": "2013-03-14T15:57:08.000Z",
  "updated": "2014-02-20T07:51:42.000Z",
  "title": "Edge states versus diffusion in disordered graphene flakes",
  "authors": [
    "Ioannis Kleftogiannis",
    "Ilias Amanatidis"
  ],
  "comment": "9 pages, 14 figures, updated the journal reference",
  "journal": "Eur. Phys. J. B (2014) 87: 16",
  "doi": "10.1140/epjb/e2013-40756-0",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the localization properties of the wavefunctions in graphene flakes with short range disorder, via the numerical calculation of the Inverse Participation Ratio($IPR$) and it scaling which provides the fractal dimension $D_{2}$. We show that the edge states which exist at the Dirac point of ballistic graphene (no disorder) with zig-zag edges survive in the presence of weak disorder with wavefunctions localized at the boundaries of the flakes. We argue, that there is a strong interplay between the underlying destructive interference mechanism of the honeycomb lattice of graphene leading to edge states and the diffusive interference mechanism introduced by the short-range disorder. This interplay results in a highly abnormal behavior, wavefunctions are becoming progressively less localized as the disorder is increased, indicated by the decrease of the average $\\langle IPR\\rangle$ and the increase of $D_{2}$. We verify, that this abnormal behavior is absent for graphene flakes with armchair edges which do not provide edge states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-20T07:51:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "edge states",
      "disordered graphene flakes",
      "short range disorder",
      "inverse participation ratio",
      "wavefunctions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 2014,
      "month": "Jan",
      "volume": 87,
      "number": 1,
      "pages": 16
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014EPJB...87...16K"
    }
  }
}