{
  "id": "1203.6340",
  "version": "v3",
  "published": "2012-03-28T19:02:50.000Z",
  "updated": "2014-06-19T03:05:19.000Z",
  "title": "Theory of integer quantum Hall effect in insulating bilayer graphene",
  "authors": [
    "Bitan Roy"
  ],
  "comment": "Published version: 5 pages, 2 figures (Supplementary: 6 pages, 2 figures); New references, typos corrected",
  "journal": "Phys. Rev. B, 89, 201401(R)(2014)",
  "doi": "10.1103/PhysRevB.89.201401",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "A variational ground state for insulating bilayer graphene (BLG), subject to quantizing magnetic fields, is proposed. Due to the Zeeman coupling, the layer anti-ferromagnet (LAF) order parameter in fully gapped BLG gets projected onto the spin easy plane, and simultaneously a ferromagnet order, which can further be enhanced by exchange interaction, develops in the direction of the magnetic field. The activation gap for the $\\nu=0$ Hall state then displays a crossover from quadratic to linear scaling with the magnetic field, as it gets stronger, and I obtain excellent agreement with a number of recent experiments with realistic strengths for the ferromagnetic interaction. A component of the LAF order, parallel to the external magnetic field, gives birth to additional incompressible Hall states at filling $\\nu=\\pm 2$, whereas the remote hopping in BLG yields $\\nu=\\pm 1$ Hall states. Evolution of the LAF order in tilted magnetic fields, scaling of the gap at $\\nu=2$, the effect of external electric fields on various Hall plateaus, and different possible hierarchies of fractional quantum Hall states are highlighted.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-19T03:05:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.80.Vp",
      "71.10.Pm",
      "73.43.Cd"
    ],
    "keywords": [
      "integer quantum hall effect",
      "insulating bilayer graphene",
      "laf order",
      "fractional quantum hall states",
      "external magnetic field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "May",
      "volume": 89,
      "number": 20,
      "pages": 201401
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..89t1401R"
    }
  }
}