{
  "id": "1211.1843",
  "version": "v2",
  "published": "2012-11-08T13:05:06.000Z",
  "updated": "2013-05-15T09:10:16.000Z",
  "title": "Semiclassical theory of the interaction correction to the conductance of antidot arrays",
  "authors": [
    "Martin Schneider",
    "Georg Schwiete",
    "Piet W. Brouwer"
  ],
  "comment": "20 pages, 10 figures, published version",
  "journal": "Phys. Rev. B 87, 195406 (2013)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Electron-electron interactions are responsible for a correction to the conductance of a diffusive metal, the \"Altshuler-Aronov correction\" $\\delta G_{AA}$. Here we study the counterpart of this correction for a ballistic conductor, in which the electron motion is governed by chaotic classical dynamics. In the ballistic conductance, the Ehrenfest time $\\tau_{E}$ enters as an additional time scale that determines the magnitude of quantum interference effects. The Ehrenfest time effectively poses a short-time threshold for the trajectories contributing to the interaction correction. As a consequence, $\\delta G_{AA}$ becomes exponentially suppressed if the Ehrenfest time is larger than the dwell time or the inverse temperature. We discuss the explicit dependence on Ehrenfest time in quasi-one and two-dimensional antidot arrays. For strong interactions, the sign of $\\delta G_{AA}$ may change as a function of temperature for temperatures in the vicinity of $\\hbar/\\tau_{E}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-15T09:10:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.23.-b",
      "05.45.Mt"
    ],
    "keywords": [
      "interaction correction",
      "semiclassical theory",
      "conductance",
      "additional time scale",
      "quantum interference effects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "doi": "10.1103/PhysRevB.87.195406",
      "year": 2013,
      "month": "May",
      "volume": 87,
      "number": 19,
      "pages": 195406
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..87s5406S"
    }
  }
}