{
  "id": "cond-mat/9806061",
  "version": "v2",
  "published": "1998-06-04T14:16:37.000Z",
  "updated": "1998-08-26T17:16:29.000Z",
  "title": "Conductance Correlations Near Integer Quantum Hall Transitions",
  "authors": [
    "Božidar Jovanović",
    "Ziqiang Wang"
  ],
  "comment": "4 pages, 4 figures, minor corrections, to appear in Phys. Rev. Lett",
  "journal": "Phys. Rev. Lett. 81, 2767 (1998)",
  "doi": "10.1103/PhysRevLett.81.2767",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "In a disordered mesoscopic system, the typical spacing between the peaks and the valleys of the conductance as a function of Fermi energy $E_F$ is called the conductance energy correlation range $E_c$. Under the ergodic hypothesis, the latter is determined by the half-width of the ensemble averaged conductance correlation function: $F= < \\delta g(E_F) \\delta g(E_F + \\Delta E) >$. In ordinary diffusive metals, $E_c\\sim D/L^2$, where $D$ is the diffusion constant and $L$ is the linear dimension of the phase-coherent sample. However, near a quantum phase transition driven by the location of the Fermi energy $E_F$, the above picture breaks down. As an example of the latter, we study, for the first time, the conductance correlations near the integer quantum Hall transitions of which $E_F$ is a critical coupling constant. We point out that the behavior of $F$ is determined by the interplay between the static and the dynamic properties of the critical phenomena.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-08-26T17:16:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer quantum hall transitions",
      "fermi energy",
      "conductance energy correlation range",
      "quantum phase transition driven",
      "ensemble averaged conductance correlation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}