{
  "id": "cond-mat/0505206",
  "version": "v2",
  "published": "2005-05-09T13:11:19.000Z",
  "updated": "2005-09-19T13:45:49.000Z",
  "title": "Quantum-to-classical crossover for Andreev billiards in a magnetic field",
  "authors": [
    "M. C. Goorden",
    "Ph. Jacquod",
    "C. W. J. Beenakker"
  ],
  "comment": "11 pages, 10 figures",
  "journal": "Phys. Rev. B 72, 064526 (2005)",
  "doi": "10.1103/PhysRevB.72.064526",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We extend the existing quasiclassical theory for the superconducting proximity effect in a chaotic quantum dot, to include a time-reversal-symmetry breaking magnetic field. Random-matrix theory (RMT) breaks down once the Ehrenfest time $\\tau_E$ becomes longer than the mean time $\\tau_D$ between Andreev reflections. As a consequence, the critical field at which the excitation gap closes drops below the RMT prediction as $\\tau_E/\\tau_D$ is increased. Our quasiclassical results are supported by comparison with a fully quantum mechanical simulation of a stroboscopic model (the Andreev kicked rotator).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-19T13:45:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "andreev billiards",
      "quantum-to-classical crossover",
      "excitation gap closes drops",
      "chaotic quantum dot",
      "time-reversal-symmetry breaking magnetic field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}