{
  "id": "1606.08228",
  "version": "v1",
  "published": "2016-06-27T11:52:35.000Z",
  "updated": "2016-06-27T11:52:35.000Z",
  "title": "Ising antiferromagnet on the 2-uniform lattices",
  "authors": [
    "Unjong Yu"
  ],
  "comment": "8 pages, 7 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The antiferromagnetic Ising model is investigated on the 20 2-uniform lattices using the Monte-Carlo method based on the Wang-Landau algorithm and the Metropolis algorithm to study the geometric frustration effect systematically. Based on the specific heat, the residual entropy, and the Edwards-Anderson freezing order parameter, the ground states of them were determined. In addition to the long-range-ordered phase and the spin ice phase found in the Archimedean lattices, two more phases were found. The partial long-range order is long-range order with exceptional disordered sites, which gives extensive residual entropy. In the partial spin ice phase, the partial freezing phenomenon appears: Majority of sites are frozen without long-range order, but the other sites are fluctuating even at zero temperature. The spin liquid ground state was not found in the 2-uniform lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-27T11:52:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising antiferromagnet",
      "partial spin ice phase",
      "residual entropy",
      "spin liquid ground state",
      "partial long-range order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}