{
  "id": "1410.2618",
  "version": "v1",
  "published": "2014-10-09T20:41:54.000Z",
  "updated": "2014-10-09T20:41:54.000Z",
  "title": "Dynamics of Quantal Heating in Electron Systems with Discrete Spectra",
  "authors": [
    "Scott Dietrich",
    "William Mayer",
    "Sergey Vitkalov",
    "A. A. Bykov"
  ],
  "comment": "4 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The temporal evolution of quantal Joule heating of 2D electrons in GaAs quantum well placed in quantizing magnetic fields is studied using a difference frequency method. The method is based on measurements of the electron conductivity oscillating at the beat frequency $f=f_1-f_2$ between two microwaves applied to 2D system at frequencies $f_1$ and $f_2$. The method provides $direct$ access to the dynamical characteristics of the heating and yields the inelastic scattering time $\\tau_{in}$ of 2D electrons. The obtained $\\tau_{in}$ is strongly temperature dependent, varying from 0.13 ns at 5.5K to 1 ns at 2.4K in magnetic field $B$=0.333T. When temperature $T$ exceeds the Landau level separation the relaxation rate $1/\\tau_{in}$ is proportional to $T^2$, indicating the electron-electron interaction as the dominant mechanism limiting the quantal heating. At lower temperatures the rate tends to be proportional to $T^3$, indicating considerable contribution from electron-phonon scattering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-09T20:41:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.20.Ht",
      "73.43.Qt",
      "73.50.Jt",
      "73.63.Hs"
    ],
    "keywords": [
      "electron systems",
      "discrete spectra",
      "quantal heating",
      "2d electrons",
      "landau level separation"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.91.205439",
      "journal": "Physical Review B",
      "year": 2015,
      "month": "May",
      "volume": 91,
      "number": 20,
      "pages": 205439
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvB..91t5439D"
    }
  }
}