{
  "id": "cond-mat/0304612",
  "version": "v1",
  "published": "2003-04-27T16:42:27.000Z",
  "updated": "2003-04-27T16:42:27.000Z",
  "title": "Real-space renormalization at the quantum Hall transition",
  "authors": [
    "Rudolf A. Roemer",
    "Philipp Cain"
  ],
  "comment": "to be published in Advances of Solid State Physics, Springer, Berlin (2003)",
  "journal": "Adv. Solid State Phys. 42, 237-252 (2003)",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We review recent applications of the real-space renormalization group (RG) approach to the integer quantum Hall (QH) transition. The RG approach, applied to the Chalker-Coddington network model, reproduces the critical distribution of the power transmission coefficients, i.e., two-terminal conductances, P_c(G), with very high accuracy. The RG flow of P(G) at energies away from the transition yields a value of the critical exponent, nu_G=2.39 +/- 0.01, that agrees with most accurate large-size lattice simulations. Analyzing the evolution of the distribution of phases of the transmission coefficients upon a step of the RG transformation, we obtain information about the energy-level statistics (ELS). From the fixed point of the RG transformation we extract a critical ELS. Away from the transition the ELS crosses over towards a Poisson distribution. Studying the scaling behavior of the ELS around the QH transition, we extract the critical exponent nu_ELS=2.37 +/- 0.02.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-27T16:42:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall transition",
      "rg transformation",
      "real-space renormalization group",
      "integer quantum hall",
      "chalker-coddington network model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003AdSSP..43..237R"
    }
  }
}