{
  "abstract": "The nonlinear interaction of closely spaced magnetic skyrmions remains poorly understood, particularly the conditions governing their merger into a single skyrmion or a stable skyrmionium. Here, we investigate the merging dynamics of two Néel skyrmions using analytical modelling and micromagnetic simulations based on Landau-Lifshitz-Gilbert dynamics. We examine the effects of exchange, Dzyaloshinskii-Moriya interaction, anisotropy, and magnetostatic energies by varying the initial separation, polarity, winding number, and skyrmion size. Our results reveal a topological selection rule: skyrmions with identical polarity and opposite winding numbers form a stable skyrmionium at intermediate overlap, while all other configurations relax into a single skyrmion. We also identify a critical radius below which the skyrmionium collapses, showing that its formation requires both the appropriate topology and a minimum size. Energy analysis reveals that the transition involves cooperative relaxation of exchange frustration and redistribution of Dzyaloshinskii-Moriya and magnetostatic energies, leading to a double-domain-wall structure. The resulting skyrmionium exhibits persistent breathing oscillations around an equilibrium radius, confirming its dynamical stability as a metastable state. These findings establish a predictive framework for controlling skyrmion merging and provide design guidelines for engineering skyrmionium textures in chiral magnetic nanostructures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07807",
  "author_total": 3,
  "authors": [
    {
      "name": "M. Al Busaidi"
    },
    {
      "name": "T. Hakioglu"
    },
    {
      "name": "R. Sbiaa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5g8x56mmfp3j1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07807",
  "fulltext_url": null,
  "id": "5g8x56mmfp3j1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07807",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07807",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5g8x56mmfp3j1.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07807",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07807"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Nonlinear Interaction and Topological Selection Rules in two Skyrmion Merging: Emergence of Skyrmionium Textures",
  "title_text": "Nonlinear Interaction and Topological Selection Rules in two Skyrmion Merging: Emergence of Skyrmionium Textures",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:41Z",
  "url": "https://research.draconitic.com/paper/5g8x56mmfp3j1",
  "venue": "arXiv",
  "versions": []
}