{
  "id": "cond-mat/9704023",
  "version": "v2",
  "published": "1997-04-03T05:57:32.000Z",
  "updated": "1998-06-16T05:10:38.000Z",
  "title": "Duality Relation among Periodic Potential Problems in the Lowest Landau Level",
  "authors": [
    "K. Ishikawa",
    "N. Maeda",
    "T. Ochiai",
    "H. Suzuki"
  ],
  "comment": "6 pages, 3 figures, final version to appear in PRB",
  "journal": "Phys. Rev. B 58 (1998) 1088",
  "doi": "10.1103/PhysRevB.58.1088",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "Using a momentum representation of a magnetic von Neumann lattice, we study a two-dimensional electron in a uniform magnetic field and obtain one-particle spectra of various periodic short-range potential problems in the lowest Landau level.We find that the energy spectra satisfy a duality relation between a period of the potential and a magnetic length. The energy spectra consist of the Hofstadter-type bands and flat bands. We also study the connection between a periodic short-range potential problem and a tight-binding model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-06-16T05:10:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lowest landau level",
      "periodic potential problems",
      "duality relation",
      "periodic short-range potential problem",
      "energy spectra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}