{
  "id": "cond-mat/0308079",
  "version": "v1",
  "published": "2003-08-05T10:22:58.000Z",
  "updated": "2003-08-05T10:22:58.000Z",
  "title": "Dimensional Crossover of Localisation and Delocalisation in a Quantum Hall Bar",
  "authors": [
    "S. Kettemann"
  ],
  "comment": "12 pages, 7 figures",
  "journal": "Phys. Rev. B 69, 035339 (2004)",
  "doi": "10.1103/PhysRevB.69.035339",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The 2-- to 1--dimensional crossover of the localisation length of electrons confined to a disordered quantum wire of finite width $L_y$ is studied in a model of electrons moving in the potential of uncorrelated impurities. An analytical formula for the localisation length is derived, describing the dimensional crossover as function of width $L_y$, conductance $g$ and perpendicular magnetic field $B$ . On the basis of these results, the scaling analysis of the quantum Hall effect in high Landau levels, and the delocalisation transition in a quantum Hall wire are reconsidered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-08-05T10:22:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall bar",
      "dimensional crossover",
      "localisation length",
      "quantum hall wire",
      "high landau levels"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}