{
  "abstract": "We revisit the long-standing problem of the anyon gas. We study the solvable near-bosonic limit of a large number of anyons $N$ at fixed $N/k$, where $1/k$ characterizes the statistical interaction. In this limit, the ground state is a crystal with order $N/k$ lattice sites. The statistical interactions, mediated by a long-range gauge field, are completely screened within the crystalline phase. The resulting state is a conventional crystal without superfluidity. We characterize this anyon crystal by determining its unit-cell size, ground-state energy, acoustic excitations, angular momentum crossings, and other properties. Our results indicate a quantum phase transition between the crystal at $k>k_c$ and a superfluid at $k<k_c$, with a critical value $k_c\\simeq2\\text{--}5$. These results imply that an anyon gas with only statistical interactions is not necessarily a superfluid, contrary to common lore. We also present a detailed analysis of the renormalization-group evolution of anyon--anyon interactions, identifying many new potential fixed points and elucidating finite-size effects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25249",
  "author_total": 6,
  "authors": [
    {
      "name": "Zohar Komargodski"
    },
    {
      "name": "Xuzixiang Lou"
    },
    {
      "name": "Ivri Nagar"
    },
    {
      "name": "Domenico Orlando"
    },
    {
      "name": "Susanne Reffert"
    },
    {
      "name": "Amit Sever"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/087wca3svkm18.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25249",
  "fulltext_url": null,
  "id": "087wca3svkm18",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25249",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214073251",
  "pdf_url": "https://arxiv.org/pdf/2609.25249",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/087wca3svkm18.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25249",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25249"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Anyon Crystallization by Statistics",
  "title_text": "Anyon Crystallization by Statistics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/087wca3svkm18",
  "venue": "arXiv",
  "versions": []
}