{
  "id": "1012.0932",
  "version": "v3",
  "published": "2010-12-04T16:55:47.000Z",
  "updated": "2011-02-15T21:36:09.000Z",
  "title": "Random-matrix theory of Andreev reflection from a topological superconductor",
  "authors": [
    "C. W. J. Beenakker",
    "J. P. Dahlhaus",
    "M. Wimmer",
    "A. R. Akhmerov"
  ],
  "comment": "13 pages, 4 figures (published version)",
  "journal": "Phys. Rev. B 83, 085413 (2011)",
  "doi": "10.1103/PhysRevB.83.085413",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We calculate the probability distribution of the Andreev reflection eigenvalues R_n at the Fermi level in the circular ensemble of random-matrix theory. Without spin-rotation symmetry, the statistics of the electrical conductance G depends on the topological quantum number Q of the superconductor. We show that this dependence is nonperturbative in the number N of scattering channels, by proving that the p-th cumulant of G is independent of Q for p<N/d (with d=2 or d=1 in the presence or in the absence of time-reversal symmetry). A large-N effect such as weak localization cannot, therefore, probe the topological quantum number. For small N we calculate the full distribution P(G) of the conductance and find qualitative differences in the topologically trivial and nontrivial phases.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-15T21:36:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.25.fc",
      "05.45.Mt",
      "73.23.-b",
      "74.45.+c"
    ],
    "keywords": [
      "random-matrix theory",
      "topological superconductor",
      "topological quantum number",
      "andreev reflection eigenvalues",
      "p-th cumulant"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Feb",
      "volume": 83,
      "number": 8,
      "pages": "085413"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..83h5413B"
    }
  }
}