{
  "id": "cond-mat/9709303",
  "version": "v1",
  "published": "1997-09-26T20:57:17.000Z",
  "updated": "1997-09-26T20:57:17.000Z",
  "title": "Critical behavior of the Ising model on a hierarchical lattice with aperiodic interactions",
  "authors": [
    "S. T. R. Pinho",
    "T. A. S. Haddad",
    "S. R. Salinas"
  ],
  "comment": "9 pages, 1 figure, submitted to Physica A",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We write exact renormalization-group recursion relations for nearest-neighbor ferromagnetic Ising models on Migdal-Kadanoff hierarchical lattices with a distribution of aperiodic exchange interactions according to a class of substitutional sequences. For small geometric fluctuations, the critical behavior is unchanged with respect to the uniform case. For large fluctuations, as in the case of the Rudin-Shapiro sequence, the uniform fixed point in the parameter space cannot be reached from any physical initial conditions. We derive a criterion to check the relevance of the geometric fluctuations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-09-26T20:57:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hierarchical lattice",
      "critical behavior",
      "aperiodic interactions",
      "write exact renormalization-group recursion relations",
      "nearest-neighbor ferromagnetic ising models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}