{
  "id": "cond-mat/0005061",
  "version": "v1",
  "published": "2000-05-02T21:14:14.000Z",
  "updated": "2000-05-02T21:14:14.000Z",
  "title": "Field behavior of an Ising model with aperiodic interactions",
  "authors": [
    "Angsula Ghosh",
    "T. A. S. Haddad",
    "S. R. Salinas"
  ],
  "comment": "9 pages, 1 figure (included). Accepted for publication in Int. J. Mod. Phys. B",
  "journal": "Int. J. Mod. Phys. B 14, 1473 (2000)",
  "doi": "10.1142/S0217979200001461",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We derive exact renormalization-group recursion relations for an Ising model, in the presence of external fields, with ferromagnetic nearest-neighbor interactions on Migdal-Kadanoff hierarchical lattices. We consider layered distributions of aperiodic exchange interactions, according to a class of two-letter substitutional sequences. For irrelevant geometric fluctuations, the recursion relations in parameter space display a nontrivial uniform fixed point of hyperbolic character that governs the universal critical behavior. For relevant fluctuations, in agreement with previous work, this fixed point becomes fully unstable, and there appears a two-cycle attractor associated with a new critical universality class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-02T21:14:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising model",
      "field behavior",
      "aperiodic interactions",
      "derive exact renormalization-group recursion relations",
      "nontrivial uniform fixed point"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}