{
  "id": "cond-mat/0507594",
  "version": "v1",
  "published": "2005-07-26T05:23:47.000Z",
  "updated": "2005-07-26T05:23:47.000Z",
  "title": "Quantum Hall Effect on the Hofstadter Butterfly",
  "authors": [
    "Mikito Koshino",
    "Tsuneya Ando"
  ],
  "comment": "4 pages, 6 figures",
  "journal": "J. Phys. Soc. Jpn. 73, 3243 (2004)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Motivated by recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional electron system with disorder in the quantum Hall regime. We identify the critical energies where the states are extended for each of butterfly subbands, and obtain the trajectory as a function of the disorder. Remarkably, we find that when the modulation becomes anisotropic, the critical energy branches accompanying a change of the Hall conductivity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-26T05:23:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall effect",
      "hofstadter",
      "hall conductivity",
      "quantum hall regime",
      "modulated two-dimensional electron system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1143/JPSJ.73.3243",
      "journal": "Journal of the Physical Society of Japan",
      "year": 2004,
      "month": "Dec",
      "volume": 73,
      "number": 12,
      "pages": 3243
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004JPSJ...73.3243K"
    }
  }
}