{
  "id": "cond-mat/0703162",
  "version": "v2",
  "published": "2007-03-06T19:26:06.000Z",
  "updated": "2009-01-22T15:24:21.000Z",
  "title": "Decoherence and interactions in an electronic Mach-Zehnder interferometer",
  "authors": [
    "J. T. Chalker",
    "Yuval Gefen",
    "M. Y. Veillette"
  ],
  "comment": "12 pages, 8 figure. Published version",
  "journal": "Phys. Rev. B 76, 085320 (2007)",
  "doi": "10.1103/PhysRevB.76.085320",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference fringes and noise power, as a function of bias voltage and of temperature. Interactions are treated exactly, by using bosonization and considering edge states that are only weakly coupled via tunneling at the interferometer beam-splitters. In this weak-tunneling limit, we show that the bias-dependence of Aharonov-Bohm oscillations in source-drain conductance and noise power provides a direct measure of the one-electron correlation function for an isolated quantum Hall edge state. We find the asymptotic form of this correlation function for systems with either short-range interactions or unscreened Coulomb interactions, extracting a dephasing length $\\ell_{\\phi}$ that varies with temperature $T$ as $\\ell_{\\phi} \\propto T^{-3}$ in the first case and as $\\ell_{\\phi} \\propto T^{-1} \\ln^2(T)$ in the second case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-22T15:24:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electronic mach-zehnder interferometer",
      "integer quantum hall edge states",
      "electron-electron interactions produce decoherence",
      "noise power",
      "isolated quantum hall edge state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}