{
  "id": "1008.0748",
  "version": "v1",
  "published": "2010-08-04T11:20:34.000Z",
  "updated": "2010-08-04T11:20:34.000Z",
  "title": "Anomalous integer quantum Hall effect in AA-stacked bilayer graphene",
  "authors": [
    "Ya-Fen Hsu",
    "Guang-Yu Guo"
  ],
  "comment": "submitted to Physical Review B",
  "journal": "Physical Review B 82, 165404 (2010)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Recent experiments indicate that AA-stacked bilayer graphenes (BLG) could exist. Since the energy bands of the AA-stacked BLG are different from both the monolayer and AB-stacked bilayer graphenes, different integer quantum Hall effect in the AA-stacked graphene is expected. We have thus calculated the quantized Hall conductivity $\\sigma_{xy}$ and also longitudinal conductivity $\\sigma_{xx}$ of the AA-stacked BLG within the linear response Kubo formalism. Interestingly, we find that the AA-stacked BLG could exhibit both conventional insulating behavior (the $\\bar{\\nu}=0$ plateau) and chirality for $|\\bar{\\mu}|<t$, where $\\bar{\\nu}$ is the filling factor ($\\bar{\\nu}=\\sigma_{xy}h/e^{2}$), $\\bar{\\mu}$ is the chemical potential, and $t$ is the interlayer hopping energy, in striking contrast to the monlayer graphene (MLG) and AB-stacked BLG. We show that in the low-disorder and high-magnetic-field regime, $\\sigma_{xx}\\rightarrow0$ as long as the Fermi level is not close to a Dirac point, where $\\Gamma$ denotes the Landau level broadening induced by disorder. Furthermore, when $\\sigma_{xy}$ is plotted as a function of $\\bar{\\mu}$, a $\\bar{\\nu}=0$ plateau appears across $\\bar{\\mu}=0$ and it would disappear if the magnetic field $B=\\pi t^2/Neh\\upsilon^2_F$, $N = 1, 2, 3,\\cdot\\cdot\\cdot$. Finally, the disappearance of the zero-Hall conductivity plateau is always accompanied by the occurence of a $8e^2/h$-step at $\\bar{\\mu}=t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-04T11:20:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.Cd",
      "71.70.Di",
      "72.80.Vp",
      "73.22.Pr"
    ],
    "keywords": [
      "anomalous integer quantum hall effect",
      "aa-stacked bilayer graphene",
      "aa-stacked blg",
      "linear response kubo formalism",
      "zero-hall conductivity plateau"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "doi": "10.1103/PhysRevB.82.165404",
      "year": 2010,
      "month": "Oct",
      "volume": 82,
      "number": 16,
      "pages": 165404
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82p5404H"
    }
  }
}