{
  "abstract": "A transition between an integer quantum Hall insulator and a chiral spin liquid can become critical without closing the single-electron gap, raising the question of which composite excitations govern the change in topological order. We investigate this question in the \\(\\mathrm{SU}(3)\\) triangular-lattice Hofstadter--Hubbard model at one particle per site and magnetic flux \\(π/3\\) per triangle. Using infinite density matrix renormalization group calculations, we identify a weak-coupling integer quantum Hall phase and an interaction-driven \\(\\mathrm{SU}(3)_1\\) chiral spin liquid. Near the transition, both the neutral and charge-\\(3e\\) correlation lengths increase substantially, whereas the single-electron correlation length remains short, providing evidence for a Chern--Simons--Higgs critical theory, where a gauge-invariant monopole carries the quantum numbers of a fermionic \\(\\mathrm{SU}(3)\\)-singlet trion. We discuss the implications for doping the system and recent experiments on doping \\(ν=-2/3\\) fractional quantum anomalous Hall in tMoTe\\(_2\\).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37575",
  "author_total": 3,
  "authors": [
    {
      "name": "Yang Liu"
    },
    {
      "name": "Ya-Hui Zhang"
    },
    {
      "name": "Xue-Yang Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9hrdzrv4nss2n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37575",
  "fulltext_url": null,
  "id": "9hrdzrv4nss2n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37575",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7224086243",
  "pdf_url": "https://arxiv.org/pdf/2610.37575",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9hrdzrv4nss2n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37575",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37575"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Topological Criticality with Charge-\\(3e\\) Fluctuations in the \\(\\mathrm{SU}(3)\\) Triangular-Lattice Hofstadter--Hubbard Model",
  "title_text": "Topological Criticality with Charge-3e Fluctuations in the SU(3) Triangular-Lattice Hofstadter--Hubbard Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/9hrdzrv4nss2n",
  "venue": "arXiv",
  "versions": []
}