{
  "id": "1004.2438",
  "version": "v2",
  "published": "2010-04-14T16:15:47.000Z",
  "updated": "2016-09-13T09:02:45.000Z",
  "title": "Random-matrix theory of thermal conduction in superconducting quantum dots",
  "authors": [
    "J. P. Dahlhaus",
    "B. Béri",
    "C. W. J. Beenakker"
  ],
  "comment": "8 pages, 6 figures; V2: corrected typo (missing absolute value sign in exponent) in equation 5",
  "journal": "Phys. Rev. B 82, 014536 (2010)",
  "doi": "10.1103/PhysRevB.82.014536",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We calculate the probability distribution of the transmission eigenvalues T_n of Bogoliubov quasiparticles at the Fermi level in an ensemble of chaotic Andreev quantum dots. The four Altland-Zirnbauer symmetry classes (determined by the presence or absence of time-reversal and spin-rotation symmetry) give rise to four circular ensembles of scattering matrices. We determine P({T_n}) for each ensemble, characterized by two symmetry indices \\beta and \\gamma . For a single d-fold degenerate transmission channel we thus obtain the distribution P(g) ~ g^{-1+\\beta /2}(1-g)^{\\gamma /2} of the thermal conductance g (in units of d \\pi ^2 k_B^2 T_0/6h at low temperatures T_0). We show how this single-channel limit can be reached using a topological insulator or superconductor, without running into the problem of fermion doubling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-14T16:15:47.000Z",
      "comment": "8 pages, 6 figures"
    },
    {
      "version": "v2",
      "updated": "2016-09-13T09:02:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.25.fc",
      "05.45.Mt",
      "65.80.-g",
      "74.45.+c"
    ],
    "keywords": [
      "superconducting quantum dots",
      "random-matrix theory",
      "thermal conduction",
      "single d-fold degenerate transmission channel",
      "chaotic andreev quantum dots"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B",
      "year": 2010,
      "month": "Jul",
      "volume": 82,
      "number": 1,
      "pages": "014536"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82a4536D"
    }
  }
}