{
  "abstract": "Geometric frustration can fractionalize vortices in two-dimensional XY systems, but a given frustrated model usually hosts only a single type of fractional vortex. Here we study a kagome XY model in which an antiferromagnetic coupling $J_1$ and a second-harmonic coupling $K$ favor two competing frustrated ground-state manifolds. For $K/J_1<1/9$, the ground states map onto those of the kagome three-state Potts antiferromagnet and support $1/3$ vortices; for $K/J_1>1/9$, they map onto those of the kagome Ising antiferromagnet and support $1/2$ vortices. At $K/J_1=1/9$, the two manifolds become degenerate, and bends in the domain walls between them carry $1/6$-vortex excitations. Tensor-network calculations show that a finite-temperature phase with quasi-long-range order only in $e^{6iθ}$ emerges from this degenerate point, separating the $1/3$- and $1/2$-vortex-paired phases. This $1/6$-vortex-paired phase has no counterpart in either parent manifold, showing that competing frustrated manifolds provide a route to new fractional-vortex-paired phases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41161",
  "author_total": 2,
  "authors": [
    {
      "name": "Tong-Yu Lin"
    },
    {
      "name": "Guang-Ming Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bbwdgshes6m52.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41161",
  "fulltext_url": null,
  "id": "bbwdgshes6m52",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41161",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41161",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bbwdgshes6m52.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41161",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41161"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Frustration-Induced $1/6$-Vortex-Paired Phase in a Kagome XY Model",
  "title_text": "Frustration-Induced 1/6-Vortex-Paired Phase in a Kagome XY Model",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/bbwdgshes6m52",
  "venue": "arXiv",
  "versions": []
}