{
  "id": "cond-mat/0111330",
  "version": "v1",
  "published": "2001-11-19T14:49:55.000Z",
  "updated": "2001-11-19T14:49:55.000Z",
  "title": "Critical behavior of certain antiferromagnets with complicated ordering: Four-loop $\\ve$-expansion analysis",
  "authors": [
    "Andrei Mudrov",
    "Konstantin Varnashev"
  ],
  "comment": "LaTeX, 16 pages, no figures. Expands on cond-mat/0109338 and includes detailed formulas",
  "journal": "Phys. Rev. B 64, 214423 (2001) (9 pages)",
  "doi": "10.1103/PhysRevB.64.214423",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The critical behavior of a complex N-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in the framework of the four-loop renormalization group (RG) approach in $(4-\\ve)$ dimensions. By using dimensional regularization and the minimal subtraction scheme, the perturbative expansions for RG functions are deduced and resummed by the Borel-Leroy transformation combined with a conformal mapping. Investigation of the global structure of RG flows for the physically significant cases N=2 and N=3 shows that the model has an anisotropic stable fixed point governing the continuous phase transitions with new critical exponents. This is supported by the estimate of the critical dimensionality $N_c=1.445(20)$ obtained from six loops via the exact relation $N_c={1/2} n_c$ established for the complex and real hypercubic models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-19T14:49:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical behavior",
      "expansion analysis",
      "complicated ordering",
      "n-component order parameter ginzburg-landau model",
      "complex n-component order parameter ginzburg-landau"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}