{
  "id": "1101.4094",
  "version": "v1",
  "published": "2011-01-21T09:34:01.000Z",
  "updated": "2011-01-21T09:34:01.000Z",
  "title": "Kronig-Penney model on bilayer graphene: spectrum and transmission periodic in the strength of the barriers",
  "authors": [
    "M. Barbier",
    "P. Vasilopoulos",
    "F. M. Peeters"
  ],
  "comment": "11 pages, 12 figures",
  "journal": "Phys. Rev. B 82, 235408 (2010)",
  "doi": "10.1103/PhysRevB.82.235408",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We show that the transmission through single and double {\\delta}-function potential barriers of strength P in bilayer graphene is periodic in P with period {\\pi}. For a certain range of P values we find states that are bound to the potential barrier and that run along the potential barrier. Similar periodic behaviour is found for the conductance. The spectrum of a periodic succession of {\\delta}-function barriers (Kronig-Penney model) in bilayer graphene is periodic in P with period 2{\\pi}. For P smaller than a critical value, the spectrum exhibits two Dirac points while for P larger than this value an energy gap opens. These results are extended to the case of a superlattice of {\\delta}-function barriers with P alternating in sign between successive barriers; the corresponding spectrum is periodic in P with period {\\pi}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-21T09:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.21.-b",
      "71.10.Pm",
      "72.80.Vp"
    ],
    "keywords": [
      "bilayer graphene",
      "kronig-penney model",
      "transmission periodic",
      "potential barrier",
      "energy gap opens"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Dec",
      "volume": 82,
      "number": 23,
      "pages": 235408
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82w5408B"
    }
  }
}