{
  "id": "cond-mat/0106201",
  "version": "v2",
  "published": "2001-06-11T14:06:57.000Z",
  "updated": "2001-11-05T09:13:36.000Z",
  "title": "Frequency-dependence of the Nyquist noise contribution to the dephasing rate in disordered conductors",
  "authors": [
    "Axel Voelker",
    "Peter Kopietz"
  ],
  "comment": "7 pages, 1 figure, minor corrections, final version to appear in Phys Rev B",
  "journal": "Phys. Rev. B 65, 045112 (2002)",
  "doi": "10.1103/PhysRevB.65.045112",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "We calculate the Nyquist noise contribution to the dephasing rate 1/\\tau_{nn}(omega, T) of disordered conductors in d dimensions in the regime where the frequency omega is larger than the temperature T. For systems with a continuous spectrum we find at zero temperature $1/ tau_{nn} (omega, 0) propto nu_d^{-1} (omega / D)^{d/2}, which agrees qualitatively with the inelastic quasiparticle scattering rate. Here nu_d is d-dimensional density of states, and D is the diffusion coefficient. Because at zero frequency and finite temperatures 1 / tau_{nn} (0, T) propto [ T / (nu_d {D}^{d/2})]^{2 / (4-d)} for d < 2, the frequency-dependence of 1/ \\tau_{nn} (omega, 0) in reduced dimensions cannot be obtained by simply replacing T rightarrow omega in the corresponding finite-temperature expression for 1/ tau_{nn} (0, T). We also discuss the dephasing rate in mesoscopic systems with length L and show that for omega < D /L^2 the spectrum is effectively continuous as far as transport is concerned. We propose weak localization measurements of the AC conductivity in the GHz-range to clarify the origin of the experimentally observed zero-temperature saturation of the dephasing rate.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-11-05T09:13:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nyquist noise contribution",
      "dephasing rate",
      "disordered conductors",
      "frequency-dependence",
      "weak localization measurements"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}