{
  "annotation_id": "a382f8cb-c583-45c4-bcbe-bcab39430242",
  "date_created": "2026-03-02T18:00:56.762000Z",
  "date_modified": "2026-03-02T18:00:56.762000Z",
  "file_hash": "28abdcc3149ea3acf0542e63b68ec047b36256a5a480eda31e7733643ebc2813",
  "private": false,
  "record": {
    "abstract": "We built a model where all spins are in interaction with each other via an\nantiferromagnetic Ising Hamiltonian. The geometry of such a model is a\ntetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1\nand 9. Due to confinement and to the fact that all spins interact which each\nother, our spin system exhibit frustration. The temperatures of the observed\nantiferro-paramagnetic transitions are equal for all space dimensions to one of\ntwo given values depending on the parity of the space dimension. Moreover, the\norder parameter $\u003cm\u003e$, i.e. the magnetization of the system, has been also\nstudied.",
    "arxiv_id": "physics/0504041",
    "authors": [
      "N. Olivi-Tran",
      "R. V. Paredes"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "Numerical study of the antiferromagnetic Ising model on a hypersphere",
    "url": "https://arxiv.org/abs/physics/0504041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "88f6d40d-e9cb-477e-aad8-2799e6e82dc2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}