{
  "id": "1105.0891",
  "version": "v2",
  "published": "2011-05-04T18:40:42.000Z",
  "updated": "2011-10-29T01:58:27.000Z",
  "title": "Zero-energy states in graphene quantum dots and rings",
  "authors": [
    "C. A. Downing",
    "D. A. Stone",
    "M. E. Portnoi"
  ],
  "comment": "8 pages, 3 figures, references added, typos corrected, discussion section expanded",
  "journal": "Phys. Rev. B 84, 155437 (2011)",
  "doi": "10.1103/PhysRevB.84.155437",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We present exact analytical zero-energy solutions for a class of smooth decaying potentials, showing that the full confinement of charge carriers in electrostatic potentials in graphene quantum dots and rings is indeed possible without recourse to magnetic fields. These exact solutions allow us to draw conclusions on the general requirements for the potential to support fully confined states, including a critical value of the potential strength and spatial extent.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-29T01:58:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.22.Pr",
      "73.21.La",
      "03.65.Ge",
      "03.65.Pm"
    ],
    "keywords": [
      "graphene quantum dots",
      "zero-energy states",
      "exact analytical zero-energy solutions",
      "smooth decaying potentials",
      "full confinement"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Oct",
      "volume": 84,
      "number": 15,
      "pages": 155437
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..84o5437D"
    }
  }
}