{
  "id": "1905.11487",
  "version": "v1",
  "published": "2019-05-27T20:26:29.000Z",
  "updated": "2019-05-27T20:26:29.000Z",
  "title": "Spin-glass-like ordering in a frustrated $J_1-J_2$ Ising antiferromagnet on a honeycomb lattice",
  "authors": [
    "M. Žukovič",
    "M. Borovský",
    "A. Bobák",
    "T. Balcerzak",
    "K. Szałowski"
  ],
  "comment": "CSMAG conference contribution, 6 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for $R < 1/4$ there is a phase transition at low temperatures to the AF phase. Nevertheless, little is known about the critical behavior of the model for $R > 1/4$, except for recent effective field results which detected no phase transition down to zero temperature. Our Monte Carlo results suggest that for $R > 1/4$ there is at least one peculiar phase transition accompanied by a spin-glass-like freezing to a highly degenerate state consisting of frozen domains with stripe-type AF ordering separated by zero-energy domain walls. In spite of the local ordering within the respective domains there is no ordering among them and thus, unlike in the corresponding square-lattice model with $R > 1/2$, there is no conventional magnetic long-range ordering spanning the entire system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-27T20:26:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "honeycomb lattice",
      "ising antiferromagnet",
      "spin-glass-like ordering",
      "zero-energy domain walls",
      "monte carlo results"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}