{
  "id": "1211.5432",
  "version": "v1",
  "published": "2012-11-23T08:30:12.000Z",
  "updated": "2012-11-23T08:30:12.000Z",
  "title": "Electronic Properties of Disordered Graphene Antidot Lattices",
  "authors": [
    "Shengjun Yuan",
    "Rafael Roldán",
    "Antti-Pekka Jauho",
    "M. I. Katsnelson"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci",
    "physics.comp-ph"
  ],
  "abstract": "Regular nanoscale perforations in graphene (graphene antidot lattices, GAL) are known to lead to a gap in the energy spectrum, thereby paving a possible way towards many applications. This theoretical prediction relies on a perfect placement of identical perforations, a situation not likely to occur in the laboratory. Here, we present a systematic study of the effects of disorder in GALs. We consider both geometric and chemical disorder, and evaluate the density-of-states as well as the optical conductivity of disordered GALs. The theoretical method is based on an efficient algorithm for solving the time-dependent Schr{\\\"o}dinger equation in a tight-binding representation of the graphene sheet [S. Yuan et al., Phys. Rev. B 82, 115448 (2010)], which allows us to consider GALs consisting of 6400 $\\times$ 6400 carbon atoms. The central conclusion for all kinds of disorder is that the gaps found for pristine GALs do survive at a considerable amount of disorder, but disappear for very strong disorder. Geometric disorder is more detrimental to gap formation than chemical disorder. The optical conductivity shows a low-energy tail below the pristine GAL band gap due to disorder-introduced transitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-23T08:30:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.21.La",
      "72.80.Vp",
      "73.22.Pr"
    ],
    "keywords": [
      "disordered graphene antidot lattices",
      "electronic properties",
      "pristine gal band gap",
      "optical conductivity",
      "chemical disorder"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.87.085430",
      "journal": "Physical Review B",
      "year": 2013,
      "month": "Feb",
      "volume": 87,
      "number": 8,
      "pages": "085430"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..87h5430Y"
    }
  }
}