{
  "id": "0711.1467",
  "version": "v3",
  "published": "2007-11-09T15:09:11.000Z",
  "updated": "2008-08-15T15:01:47.000Z",
  "title": "Symmetry breaking in Laughlin's state on a cylinder",
  "authors": [
    "Sabine Jansen",
    "Elliott H. Lieb",
    "Ruedi Seiler"
  ],
  "comment": "34 pages, 5 figures. A few explanations added",
  "journal": "Commun. Math. Phys. 285, 503-535 (2009)",
  "doi": "10.1007/s00220-008-0576-4",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate Laughlin's fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficiently thin cylinders. At filling factor 1/p, the period is p times the period of the filled lowest Landau level. The proof uses a connection with one-dimensional polymer systems and discrete renewal equations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-15T15:01:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetry breaking",
      "laughlins state",
      "quantum hall effect wave function",
      "laughlins fractional quantum hall effect",
      "fractional quantum hall effect wave"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2009,
      "month": "Jan",
      "volume": 285,
      "number": 2,
      "pages": 503
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009CMaPh.285..503J"
    }
  }
}