{
  "id": "1601.05732",
  "version": "v1",
  "published": "2016-01-21T18:09:38.000Z",
  "updated": "2016-01-21T18:09:38.000Z",
  "title": "Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator",
  "authors": [
    "Hossein Dehghani",
    "Aditi Mitra"
  ],
  "comment": "12 pages, 9 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Results are presented for the occupation probabilities and current densities of bulk and edge states of half-filled graphene irradiated by a circularly polarized laser. It is assumed that the system is closed, and that the laser has been switched on as a quench. Laser parameters corresponding to some representative topological phases are studied: one where the Chern number of the Floquet bands equals the number of chiral edge modes, a second where anomalous edge states appear in the Floquet Brillouin zone boundaries, and a third where the Chern number is zero, yet topological edge states appear at the center and boundaries of the Floquet Brillouin zone. For an ideal half-filled system where only one of the bands in the Floquet Brillouin zone is occupied and the other empty, particle-hole and inversion symmetry of the Floquet Hamiltonian implies zero current density. However the laser switch-on protocol breaks the inversion symmetry, creating a nonequilibrium occupation of the Floquet bands, which results in a net current density at steady-state. A study of how the current density is distributed among the edge and bulk states is presented, and qualitative differences are found for the high frequency off-resonant and low frequency on-resonant laser.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-21T18:09:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "floquet topological insulator",
      "occupation probabilities",
      "floquet brillouin zone",
      "implies zero current density",
      "hamiltonian implies zero current"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160105732D"
    }
  }
}