{
  "id": "cond-mat/0609612",
  "version": "v1",
  "published": "2006-09-24T03:05:47.000Z",
  "updated": "2006-09-24T03:05:47.000Z",
  "title": "Supersymmetry and Correlated Electrons in Graphene Quantum Hall Effect",
  "authors": [
    "Motohiko Ezawa"
  ],
  "comment": "5 pages, 2 figures",
  "journal": "Physica E 40, 269 (2007)",
  "doi": "10.1016/j.physe.2007.06.038",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We present a supersymmetric description of the quantum Hall effect (QHE) in graphene. The noninteracting system is supersymmetric separately at the so-called K and K' points of the Brillouin zone corners. Its essential consequence is that the energy levels and the Landau levels are different objects in graphene QHE. Each energy level has a four-fold degeneracy within the noninteracting theory. With the Coulomb interaction included, an excitonic gap opens in the zero-energy state, while each nonzero energy level splits into two levels since up-spin and down-spin electrons come from different Landau levels. We argue the emergence of the plateaux at $\\nu =\\pm (4n-2)$ for small magnetic field $B$ and at $\\nu =0$, $\\pm 1$, $\\pm 2n$ for large $B$ with $n$ natural numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-24T03:05:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graphene quantum hall effect",
      "correlated electrons",
      "landau levels",
      "nonzero energy level splits",
      "supersymmetry"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}