{
  "abstract": "We study the phase diagram of a three-dimensional Heisenberg model with Dzyaloshinski--Moriya interaction under the presence of Potts-like anisotropy. The phase transition between the winding phase and the ferromagnetically ordered phase exhibits a critical phase transition with anomalous features such as critical exponents consistent with that of a first-order transition while maintaining continuity of physical quantities. Furthermore, at the critical point, we see a growing number of free energy local minima, supporting the picture of infinitely many discontinuous transitions forming criticality. Our numerical result unify de Gennes' theory of nucleation-type transitions and Dzyaloshinskii's calculation of chiral magnets by demonstrating that such anomalous criticality can be realized in microscopic models beyond mean-field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26638",
  "author_total": 2,
  "authors": [
    {
      "name": "Jun Takahashi"
    },
    {
      "name": "Yoshihiko Nishikawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8c5tr393rv5ta.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26638",
  "fulltext_url": null,
  "id": "8c5tr393rv5ta",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26638",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7223001910",
  "pdf_url": "https://arxiv.org/pdf/2610.26638",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8c5tr393rv5ta.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26638",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26638"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Nucleation-type criticality with infinite number of free-energy minima beyond mean-field theory",
  "title_text": "Nucleation-type criticality with infinite number of free-energy minima beyond mean-field theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/8c5tr393rv5ta",
  "venue": "arXiv",
  "versions": []
}