{
  "abstract": "We investigate a generalized inhomogeneous two-dimensional Ising model on the kagomé lattice with two alternating couplings $J_i$ and $J'_i$, $i=1,2,3$, along the three lattice directions. The local Boltzmann weights are mapped onto a non-symmetric eight-vertex $R$-matrix satisfying the free-fermion condition for arbitrary values of the six couplings. We analyze the Yang--Baxter structure for the cases $J'_i=J_i$ and $J'_i=-J_i$ and derive the corresponding one-dimensional quantum spin chains in the anisotropic limit. The first case yields a transverse-field Ising-type Hamiltonian, while the second leads to a modified chain with a graded permutation structure and shifted partition-function zeros. For a partially anisotropic model, we also obtain the free energy and specific heat.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10163",
  "author_total": 3,
  "authors": [
    {
      "name": "Shahane A. Khachatryan"
    },
    {
      "name": "Hrachya Babujian"
    },
    {
      "name": "Ara G. Sedrakyan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/15gw4v13kzd42.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10163",
  "fulltext_url": null,
  "id": "15gw4v13kzd42",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10163",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.10163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/15gw4v13kzd42.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.10163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10163"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Anizotropic Ising Model on 2D Kagomé Lattice as an Inhomogeneous XYZ Integrable Model",
  "title_text": "Anizotropic Ising Model on 2D Kagomé Lattice as an Inhomogeneous XYZ Integrable Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/15gw4v13kzd42",
  "venue": "arXiv",
  "versions": []
}