{
  "id": "1506.05995",
  "version": "v1",
  "published": "2015-06-19T13:24:50.000Z",
  "updated": "2015-06-19T13:24:50.000Z",
  "title": "Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard",
  "authors": [
    "M. Marciani",
    "H. Schomerus",
    "C. W. J. Beenakker"
  ],
  "comment": "Contribution for the special issue of Physica E in memory of Markus B\\\"{u}ttiker. 13 pages, 7 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "We calculate the joint distribution $P(S,Q)$ of the scattering matrix $S$ and time-delay matrix $Q=-i\\hbar S^\\dagger dS/dE$ of a chaotic quantum dot coupled by point contacts to metal electrodes. While $S$ and $Q$ are statistically independent for ballistic coupling, they become correlated for tunnel coupling. We relate the ensemble averages of $Q$ and $S$ and thereby obtain the average density of states at the Fermi level. We apply this to a calculation of the effect of a tunnel barrier on the Majorana resonance in a topological superconductor. We find that the presence of a Majorana bound state is hidden in the density of states and in the thermal conductance if even a single scattering channel has unit tunnel probability. The electrical conductance remains sensitive to the appearance of a Majorana bound state, and we calculate the variation of the average conductance through a topological phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-19T13:24:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorana bound state",
      "tunnel barrier",
      "andreev billiard",
      "scattering",
      "unit tunnel probability"
    ],
    "publication": {
      "doi": "10.1016/j.physe.2015.10.030",
      "journal": "Physica E Low-Dimensional Systems and Nanostructures",
      "year": 2016,
      "month": "Mar",
      "volume": 77,
      "pages": 54
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016PhyE...77...54M"
    }
  }
}