{
  "id": "cond-mat/0511399",
  "version": "v1",
  "published": "2005-11-16T15:34:03.000Z",
  "updated": "2005-11-16T15:34:03.000Z",
  "title": "Magnetization and spin-spin energy diffusion in the XY model: a diagrammatic approach",
  "authors": [
    "Daniel Greenbaum"
  ],
  "comment": "28 pages, 15 embedded .eps figures, Elsevier preprint format",
  "journal": "J. Magn. Reson. 179, 11 (2006)",
  "doi": "10.1016/j.jmr.2005.10.011",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other"
  ],
  "abstract": "It is shown that the diagrammatic cluster expansion technique for equilibrium averages of spin operators may be straightforwardly extended to the calculation of time-dependent correlation functions of spin operators. We use this technique to calculate exactly the first two non-vanishing moments of the spin-spin and energy-energy correlation functions of the XY model with arbitrary couplings, in the long-wavelength, infinite temperature limit appropriate for spin diffusion. These moments are then used to estimate the magnetization and spin-spin energy diffusion coefficients of the model using a phenomenological theory of Redfield. Qualitative agreement is obtained with recent experiments measuring diffusion of dipolar energy in calcium fluoride.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-16T15:34:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "xy model",
      "diagrammatic approach",
      "magnetization",
      "diagrammatic cluster expansion technique",
      "infinite temperature limit appropriate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}