{
  "abstract": "Two wavefunctions have previously been proposed to describe the $ν=1/2+1/2$ quantum Hall bilayer: $p$-wave pairing of composite fermions and $s$-wave pairing of composite fermions with anti-composite fermions. We show analytically in the spherical geometry and within the Jain-Kamilla lowest Landau level projection scheme that both of these paired composite fermion wavefunctions exactly reproduce the Halperin (111) state for a specific form of the pairing that we derive. We also find a second wavefunction that is common between both classes of wavefunctions. However, we provide evidence the two variational families generate overlapping but not identical sets of electronic states, ruling out a universal reparametrization that identifies their wavefunctions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00204",
  "author_total": 1,
  "authors": [
    {
      "name": "Glenn Wagner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/186tmcjnmb9aj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00204",
  "fulltext_url": null,
  "id": "186tmcjnmb9aj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00204",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00204",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/186tmcjnmb9aj.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00204",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00204"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "The Halperin (111) state as a paired composite-fermion wave function: Two exact finite-size identities on the sphere",
  "title_text": "The Halperin (111) state as a paired composite-fermion wave function: Two exact finite-size identities on the sphere",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/186tmcjnmb9aj",
  "venue": "arXiv",
  "versions": []
}