{
  "abstract": "Magnetic hopfions are three-dimensional topological solitons: ``knots'' in the vector field of magnetization of magnetically ordered materials, which are a key element of the three-dimensional spintronics emerging today. In this work, a simple analytical model for a new type of magnetic hopfions --- ``concentric'' ones --- is constructed and solved. Their size and equilibrium energy are estimated, their stability region on the magnetic phase diagram of a helimagnet is mapped out, and the requirements for materials admitting equilibrium concentric hopfions with high Hopf index on a uniformly magnetized background are determined.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00858",
  "author_total": 2,
  "authors": [
    {
      "name": "Konstantin L. Metlov"
    },
    {
      "name": "Maksim M. Gordei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3e0bqqheh3020.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00858",
  "fulltext_url": null,
  "id": "3e0bqqheh3020",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00858",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "nlin.PS"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00858",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3e0bqqheh3020.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00858",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00858"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.PS",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "High-order concentric hopfions in a helimagnet",
  "title_text": "High-order concentric hopfions in a helimagnet",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/3e0bqqheh3020",
  "venue": "arXiv",
  "versions": []
}