{
  "id": "0712.4047",
  "version": "v1",
  "published": "2007-12-25T05:15:38.000Z",
  "updated": "2007-12-25T05:15:38.000Z",
  "title": "Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels",
  "authors": [
    "Yositake Takane"
  ],
  "comment": "20 pages, 1 figure",
  "journal": "J. Phys. Soc. Jpn. 77 (2008) 014703",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation for transmission eigenvalues, we obtain the average and second moment of the conductance in the long-wire regime. For comparison, we employ the three-edge Chalker-Coddington model as the simplest example of channel-number-imbalanced systems with $m = 1$, and obtain the average and second moment of the conductance by using a supersymmetry approach. We show that the result for the Chalker-Coddington model is identical to that obtained from the DMPK equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-25T05:15:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfectly conducting channels",
      "disordered wires",
      "asymptotic behavior",
      "conductance",
      "second moment"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1143/JPSJ.77.014703",
      "journal": "Journal of the Physical Society of Japan",
      "year": 2008,
      "month": "Jan",
      "volume": 77,
      "number": 1,
      "pages": 14703
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JPSJ...77a4703T"
    }
  }
}