{
  "abstract": "Anyon superconductivity arises from the condensation of mobile anyons rather than from a conventional Cooper instability, yet a systematic wavefunction description remains lacking. We develop a hierarchy-wavefunction construction for superconducting states derived from parent topological orders and identify their off-diagonal long-range order, condensate charge, chiral central charge, and residual topological order through the plasma analogy and topological field theories. We construct Abelian and non-Abelian examples descending from the semion state, a $ν=2/3$ hierarchy state, the $ν=1/3$ Laughlin state, $ν=1$ integer quantum Hall state, and Pfaffian state. Remarkably, for the semion case, the superconducting many-semion wavefunction is equivalent to a state of fermionized anyons filling two effective Landau levels, recovering Laughlin's original construction of semion superconductor. Finally, we show that hierarchy wavefunctions emerge naturally in the dilute, long-distance limit of the anyon-Hilbert-space formulation, which applies to ideal Chern bands and moiré bands of twisted bilayer MoTe$_2$. Our results establish a unified wavefunction-level framework linking anyon condensation, superconducting order, and topological field theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04187",
  "author_total": 3,
  "authors": [
    {
      "name": "Donghae Seo"
    },
    {
      "name": "Taegon Lee"
    },
    {
      "name": "Gil Young Cho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eyr4pc5r9j48c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04187",
  "fulltext_url": null,
  "id": "eyr4pc5r9j48c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04187",
  "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.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7208725050",
  "pdf_url": "https://arxiv.org/pdf/2609.04187",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eyr4pc5r9j48c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.04187",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04187"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Wavefunctions for Anyon Superconductors",
  "title_text": "Wavefunctions for Anyon Superconductors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/eyr4pc5r9j48c",
  "venue": "arXiv",
  "versions": []
}