{
  "abstract": "We formulate a continuum theory for three-dimensional (3D) Shankar skyrmions in frustrated chiral antiferromagnets (AFs) and derive the conditions for metastable finite-size $π_3(SO(3))$ solitons. A Derrick--Hobart scaling analysis shows that exchange, Dzyaloshinskii--Moriya interaction (DMI), anisotropy, and frustration can balance to set a finite equilibrium size. We identify two microscopic routes to this common topological and stabilization framework: intrinsic rotation-frame order in noncollinear AFs and an $\\mathbb{S}^3$ extension of an amplitude-softened Néel field. In the latter, the smooth four-component texture projects onto a Néel field containing a spatially separated pair of oppositely charged Bloch points. Numerical minimization yields metastable monopole textures, while the effective dynamics identifies coherent breathing oscillations as their characteristic finite-frequency collective mode. Our results provide a microscopic framework for the statics and dynamics of Shankar skyrmions and identify frustrated chiral AFs as promising hosts of 3D non-Abelian topological textures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38624",
  "author_total": 5,
  "authors": [
    {
      "name": "Vladyslav M. Kuchkin"
    },
    {
      "name": "Ricardo Rama-Eiroa"
    },
    {
      "name": "Carlos Saji"
    },
    {
      "name": "Alvaro S. Nunez"
    },
    {
      "name": "Roberto E. Troncoso"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4gdvahnrs9nj4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38624",
  "fulltext_url": null,
  "id": "4gdvahnrs9nj4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38624",
  "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",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.other"
    ],
    [
      "openalex",
      "3107|Magnetic properties of thin films"
    ]
  ],
  "openalex": "W7215123692",
  "pdf_url": "https://arxiv.org/pdf/2609.38624",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4gdvahnrs9nj4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.38624",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38624"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Three-Dimensional Shankar Skyrmions in Frustrated Antiferromagnets",
  "title_text": "Three-Dimensional Shankar Skyrmions in Frustrated Antiferromagnets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/4gdvahnrs9nj4",
  "venue": "arXiv",
  "versions": []
}