{
  "abstract": "By performing complete enumeration of all configurations of magnetic moments, we have determined the ground-state phase diagram of the effective model with antiferromagnetic nearest-neighbor interactions $J_1$ and ferromagnetic next-nearest-neighbor interactions $J_2$ on the 1/1 periodic approximant to icosahedral quasicrystal. Depending on the ratio of $J_2/J_1$ and the magnetic anisotropy arising from the crystalline electric field, various non-collinear ferrimagnetic orders and antiferromagnetic orders are shown to be stabilized, whose magnetic space groups are identified as $R\\bar{3}$, $C2'/m'$, $Pm'm'2$ and $I_{\\rm P}m'\\bar{3}'$. We have revealed the topological as well as magnetic property of each ground state with degeneracy, which is useful to understand experimental observations of magnetic structures and domains in the rare-earth-based 1/1 approximants.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Phys. Soc. Jpn. 95 (2026) 084705",
  "arxiv": "2610.12840",
  "author_total": 1,
  "authors": [
    {
      "name": "Shinji Watanabe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fx2yhbhpp0ghn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12840",
  "fulltext_url": null,
  "id": "fx2yhbhpp0ghn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12840",
  "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.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.12840",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fx2yhbhpp0ghn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.12840",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12840"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals",
  "title_text": "Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/fx2yhbhpp0ghn",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.7566/jpsj.95.084705",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}