{
  "id": "0706.2467",
  "version": "v1",
  "published": "2007-06-17T11:30:30.000Z",
  "updated": "2007-06-17T11:30:30.000Z",
  "title": "Geometric scaling in the quantum Hall system",
  "authors": [
    "C. A. Lutken",
    "G. G. Ross"
  ],
  "comment": "6 pages",
  "doi": "10.1016/j.physletb.2007.08.022",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The transitions between neighbouring plateaux in the quantum Hall system are observed to follow anti-holomophic scaling with superuniversal scaling exponents, showing that the system contains an emergent sub-modular discrete symmetry and a holomorphic structure at low energies. We identify a class of effective scaling models consistent with this data, which is parametrized by the complex structure of a torus with a special spin structure, in which only the number of fermions (c) remains undetermined. For c = 2 this gives the superuniversal anti-holomorphic scaling potential previously inferred from data, with scaling exponent nu = 2.6, in reasonable agreement with available scaling data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-17T11:30:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.20.-r"
    ],
    "keywords": [
      "quantum hall system",
      "geometric scaling",
      "emergent sub-modular discrete symmetry",
      "special spin structure",
      "scaling exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters B",
      "year": 2007,
      "month": "Sep",
      "volume": 653,
      "number": "2-4",
      "pages": 363
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhLB..653..363L"
    }
  }
}