{
  "id": "cond-mat/0401340",
  "version": "v2",
  "published": "2004-01-19T17:10:32.000Z",
  "updated": "2004-08-26T10:24:56.000Z",
  "title": "On the self-similarity in quantum Hall systems",
  "authors": [
    "M. O. Goerbig",
    "P. Lederer",
    "C. Morais Smith"
  ],
  "comment": "7 pages, 4 figures; version accepted for publication in Europhys. Lett., new version contains energy calculations for collective excitations of the 4/11 state",
  "journal": "Europhys. Lett. 68, 72 (2004)",
  "doi": "10.1209/epl/i2004-10215-5",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "The Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this fractal structure emerges naturally in the Hamiltonian formulation of composite fermions. After a set of transformations on the electronic model, we show that the model, which describes interacting composite fermions in a partially filled energy level, is self-similar. This mathematical property allows for the construction of a basis of higher generations of composite fermions. The collective-excitation dispersion of the recently observed 4/11 fractional-quantum-Hall state is discussed within the present formalism.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-08-26T10:24:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall systems",
      "composite fermions",
      "self-similarity",
      "strong perpendicular magnetic field",
      "two-dimensional electron system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}