{
  "id": "2206.09177",
  "version": "v1",
  "published": "2022-06-18T11:09:38.000Z",
  "updated": "2022-06-18T11:09:38.000Z",
  "title": "Frustrations and orderings in Ising chain with multiple interactions",
  "authors": [
    "A. V. Zarubin",
    "F. A. Kassan-Ogly",
    "A. I. Proshkin"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2002.05430, arXiv:2206.06753",
  "journal": "Journal of Physics: Conference Series 1389 (2019) 012009",
  "doi": "10.1088/1742-6596/1389/1/012009",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and third neighbors. The exact solution of the model was obtained using the Kramers--Wannier transfer matrix method. The types of magnetic ordering of the ground state of the model are determined, and a magnetic phase diagram is constructed. Criteria are formulated for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions. Non-zero entropy values in the ground state of the frustrated system were found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-18T11:09:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple interactions",
      "ising chain",
      "frustration",
      "one-dimensional monoatomic equidistant lattice",
      "exchange interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}