{
  "id": "cond-mat/0606037",
  "version": "v2",
  "published": "2006-06-01T19:25:11.000Z",
  "updated": "2006-09-01T21:33:33.000Z",
  "title": "The Fractional Quantum Hall States of Dirac Electrons in Graphene",
  "authors": [
    "Vadim M. Apalkov",
    "Tapash Chakraborty"
  ],
  "comment": "accepted for publication in Phys. Rev. Lett",
  "doi": "10.1103/PhysRevLett.97.126801",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We have investigated the fractional quantum Hall states for the Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion relation of the electrons in the graphene significantly modifies the inter-electron interactions. This results in a specific dependence of the ground state energy and the energy gaps for electrons on the Landau level index. For the valley-polarized states, i.e. at \\nu =1/m, m being an odd integer, the energy gaps have the largest values in the n=1 Landau level. For the valley-unpolarized states, e.g., for the 2/3 state, the energy gaps are suppressed for the n=1 Landau level as compared to the n=0 level. For both the n=1 and n=0 Landau levels the ground state of the 2/3 system is fully valley-unpolarized.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-01T21:33:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall states",
      "dirac electrons",
      "energy gaps",
      "ground state energy",
      "energy dispersion relation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}