{
  "id": "1603.03687",
  "version": "v1",
  "published": "2016-03-11T16:34:52.000Z",
  "updated": "2016-03-11T16:34:52.000Z",
  "title": "A Mechanism of Long-Range Order Induced by Random Local Fields: Effective Anisotropy Created by Defects",
  "authors": [
    "A. A. Berzin",
    "A. I. Morosov",
    "A. S. Sigov"
  ],
  "comment": "9 pages. arXiv admin note: substantial text overlap with arXiv:1603.03360",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We propose a microscopic mechanism of the long-range order in two-dimensional space induced by random local fields of crystal defects. The anisotropic distribution of defect-induced random local field directions in the n-dimensional space of vector order parameter with the O(n) symmetry is shown to give rise to the defect-induced effective anisotropy in the system. The expression for the effective anisotropy constant is found. A weak anisotropy of the \"easy axis\" type transforms the X-Y model and the Heisenberg model to the class of Ising models, and brings into existence the long-range order in the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-11T16:34:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range order",
      "effective anisotropy",
      "defect-induced random local field directions",
      "vector order parameter",
      "anisotropy constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160303687B"
    }
  }
}