{
  "id": "1107.0153",
  "version": "v1",
  "published": "2011-07-01T08:59:09.000Z",
  "updated": "2011-07-01T08:59:09.000Z",
  "title": "Tight-binding study of the magneto-optical properties of gapped graphene",
  "authors": [
    "Jesper Goor Pedersen",
    "Thomas Garm Pedersen"
  ],
  "comment": "10 pages, 9 figures, submitted for Physical Review B",
  "journal": "Phys. Rev. B 84, 115424 (2011)",
  "doi": "10.1103/PhysRevB.84.115424",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the optical properties of gapped graphene in presence of a magnetic field. We consider a model based on the Dirac equation, with a gap introduced via a mass term, for which analytical expressions for the diagonal and Hall optical conductivities can be derived. We discuss the effect of the mass term on electron-hole symmetry and $\\pi$-$\\pi^*$ symmetry and its implications for the optical Hall conductivity. We compare these results with those obtained using a tight-binding model, in which the mass is modeled via a staggered potential and a magnetic field is included via a Peierls substitution. Considering antidot lattices as the source of the mass term, we focus on the limit where the mass term dominates the cyclotron energy. We find that a large gap quenches the effect of the magnetic field. The role of overlap between neighboring $\\pi$ orbitals is investigated, and we find that the overlap has pronounced consequences for the optical Hall conductivity that are missed in the Dirac model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-01T08:59:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "78.67.Wj",
      "78.20.Ls"
    ],
    "keywords": [
      "gapped graphene",
      "tight-binding study",
      "magneto-optical properties",
      "magnetic field",
      "optical hall conductivity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Sep",
      "volume": 84,
      "number": 11,
      "pages": 115424
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..84k5424P"
    }
  }
}