{
  "id": "0707.0219",
  "version": "v2",
  "published": "2007-07-02T13:14:04.000Z",
  "updated": "2007-08-31T11:32:54.000Z",
  "title": "A new magnetic field dependence of Landau levels on a graphene like structure",
  "authors": [
    "Petra Dietl",
    "Frederic Piechon",
    "Gilles Montambaux"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Phys. Rev. Lett. 100, 236405 (2008)",
  "doi": "10.1103/PhysRevLett.100.236405",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We consider a tight-binding model on the honeycomb lattice in a magnetic field. For special values of the hopping integrals, the dispersion relation is linear in one direction and quadratic in the other. We find that, in this case, the energy of the Landau levels varies with the field B as E_n(B) ~ [(n+\\gamma)B]^{2/3}. This result is obtained from the low-field study of the tight-binding spectrum on the honeycomb lattice in a magnetic field (Hofstadter spectrum) as well as from a calculation in the continuum approximation at low field. The latter links the new spectrum to the one of a modified quartic oscillator. The obtained value $\\gamma=1/2$ is found to result from the cancellation of a Berry phase.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-31T11:32:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.70.Di",
      "73.43.-f",
      "81.05.Uw"
    ],
    "keywords": [
      "magnetic field dependence",
      "honeycomb lattice",
      "landau levels varies",
      "hofstadter spectrum",
      "dispersion relation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Jun",
      "volume": 100,
      "number": 23,
      "pages": 236405
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100w6405D"
    }
  }
}