{
  "id": "1101.1749",
  "version": "v2",
  "published": "2011-01-10T09:45:06.000Z",
  "updated": "2011-04-21T08:43:06.000Z",
  "title": "Scattering formula for the topological quantum number of a disordered multi-mode wire",
  "authors": [
    "I. C. Fulga",
    "F. Hassler",
    "A. R. Akhmerov",
    "C. W. J. Beenakker"
  ],
  "comment": "8 pages, 3 figures, this is the final, published version",
  "journal": "Phys. Rev. B 83, 155429 (2011)",
  "doi": "10.1103/PhysRevB.83.155429",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The topological quantum number Q of a superconducting or chiral insulating wire counts the number of stable bound states at the end points. We determine Q from the matrix r of reflection amplitudes from one of the ends, generalizing the known result in the absence of time-reversal and chiral symmetry to all five topologically nontrivial symmetry classes. The formula takes the form of the determinant, Pfaffian, or matrix signature of r, depending on whether r is a real matrix, a real antisymmetric matrix, or a Hermitian matrix. We apply this formula to calculate the topological quantum number of N coupled dimerized polymer chains, including the effects of disorder in the hopping constants. The scattering theory relates a topological phase transition to a conductance peak, of quantized height and with a universal (symmetry class independent) line shape. Two peaks which merge are annihilated in the superconducting symmetry classes, while they reinforce each other in the chiral symmetry classes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-21T08:43:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.45.+c",
      "73.63.Nm",
      "73.23.-b",
      "03.65.Vf"
    ],
    "keywords": [
      "topological quantum number",
      "disordered multi-mode wire",
      "scattering formula",
      "chiral symmetry",
      "symmetry class independent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Apr",
      "volume": 83,
      "number": 15,
      "pages": 155429
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 884110,
      "adsabs": "2011PhRvB..83o5429F"
    }
  }
}