{
  "abstract": "We develop a microscopic theory of anyon superconductivity that connects electronic interactions in a lightly doped Laughlin state to the universal physics of a resonantly interacting anyon gas. Using geometric quantization of Laughlin quasiholes, we derive the effective many-body Hamiltonian of dilute charge-$2e/3$ anyons, including their valley structure, dispersion, and statistical and short-range interactions, together with an explicit map between anyon and electron observables. This reduces the dilute many-body problem to a few parameters fixed by data computable from few anyon numerics. In analogy with resonant Fermi and Bose gases, we organize the dilute anyon problem around a two-body binding resonance and its relevant and marginal perturbations. For a three-valley gas of charge-$2e/3$ anyons, we identify a resonance whose long-distance theory is governed by an Aharonov-Casher anyon Hamiltonian whose magnetic field is the statistical Chern-Simons field and whose ground state is exactly solvable. Using the ground state wavefunction, we demonstrate Cooper-pair off-diagonal long-range order directly in electron coordinates and determine the pairing symmetry and vortex-lattice structure. The leading perturbations at the fixed point are a relevant pair detuning and a marginal three-body contact in the valley-singlet channel, which determine the compressibility and sound velocity. A repulsive three-body coupling is marginally irrelevant, allowing the fixed point to control a parametrically broad dilute regime near pair resonance, while attractive three-body interactions instead generate charge-$2e$ trimers. More broadly, our results show that binding thresholds between competing anyon composites host universal resonant regimes that are not captured by the lowest-energy anyon species alone, providing a new setting for controlled theories of anyon matter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05529",
  "author_total": 6,
  "authors": [
    {
      "name": "Qingchen Li"
    },
    {
      "name": "Pavel A. Nosov"
    },
    {
      "name": "Zhaoyu Han"
    },
    {
      "name": "Si-Yuan Chen"
    },
    {
      "name": "Taige Wang"
    },
    {
      "name": "Eslam Khalaf"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fxhj5x6pzkaj3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05529",
  "fulltext_url": null,
  "id": "fxhj5x6pzkaj3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05529",
  "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.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05529",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fxhj5x6pzkaj3.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05529",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05529"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Resonantly interacting $2e/3$ anyons: a controlled microscopic theory of anyon superconductivity",
  "title_text": "Resonantly interacting 2e/3 anyons: a controlled microscopic theory of anyon superconductivity",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:19Z",
  "url": "https://research.draconitic.com/paper/fxhj5x6pzkaj3",
  "venue": "arXiv",
  "versions": []
}