{
  "id": "1202.1357",
  "version": "v1",
  "published": "2012-02-07T06:45:57.000Z",
  "updated": "2012-02-07T06:45:57.000Z",
  "title": "Quantum Hall Effects in Silicene",
  "authors": [
    "Motohiko Ezawa"
  ],
  "comment": "7 pages, 6 figures",
  "journal": "J. Phys. Soc. Jpn. 81, 064705 (2012)",
  "doi": "10.1143/JPSJ.81.064705",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We investigate quantum Hall effects in silicene by applying electric field $E_z$ parallel to magnetic field. Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, and shares almost every remarkable property with graphene. A new feature is its buckled structure, due to which the band structure can be controlled externally by changing $E_z$. The low energy physics of silicene is described by massive Dirac fermions, where the mass is a function of $E_z$ and becomes zero at the critical field $E_{\\text{cr}}$. We show that there are no zero energy states due to the Dirac mass term except at the critical electric field $E_{\\text{cr}}$. Furthermore it is shown that the 4-fold degenerate zero-energy states are completely resolved even without considering Coulomb interactions. These features are highly contrasted with those in graphene, demonstrating that silicene has a richer structure. The prominent feature is that, by applying the electric field, we can control the valley degeneracy. As a function of $E_z$, Hall plateaux appear at the filling factors $\\nu =0,\\pm 1,\\pm 2,\\pm 3,...$ except for the points where level crossings occur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-07T06:45:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall effects",
      "zero energy states",
      "hall plateaux appear",
      "two-dimensional honeycomb lattice",
      "degenerate zero-energy states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of the Physical Society of Japan",
      "year": 2012,
      "month": "Jun",
      "volume": 81,
      "number": 6,
      "pages": 4705
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPSJ...81f4705E"
    }
  }
}