{
  "id": "cond-mat/9803229",
  "version": "v1",
  "published": "1998-03-18T22:38:09.000Z",
  "updated": "1998-03-18T22:38:09.000Z",
  "title": "The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field",
  "authors": [
    "D. A. Garanin"
  ],
  "journal": "J. Stat. Phys., Vol. 83, 907--931 (1996)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The field-dependent magnetization m(H,T) of 1- and 2-dimensional classical magnets described by the $D$-component vector model is calculated analytically in the whole range of temperature and magnetic fields with the help of the 1/D expansion. In the 1-st order in 1/D the theory reproduces with a good accuracy the temperature dependence of the zero-field susceptibility of antiferromagnets \\chi with the maximum at T \\lsim |J_0|/D (J_0 is the Fourier component of the exchange interaction) and describes for the first time the singular behavior of \\chi(H,T) at small temperatures and magnetic fields: \\lim_{T\\to 0}\\lim_{H\\to 0} \\chi(H,T)=1/(2|J_0|)(1-1/D) and \\lim_{H\\to 0}\\lim_{T\\to 0} \\chi(H,T)=1/(2|J_0|).",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-03-18T22:38:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "classical magnets",
      "low-dimensional models",
      "component vector model",
      "small temperatures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}