{
  "abstract": "The spin-1/2 kagome Heisenberg antiferromagnet is a central model in the study of quantum spin liquids, yet its ground-state properties remain unresolved. We perform large-scale variational Monte-Carlo calculations using neural-network quantum states (NQSs) with kagome-geometry-aware message-passing convolution on two-dimensional tori containing up to 300 spins, and achieve exceptionally low variational energies for the kagome model. The spin and dimer structure factors show no evidence of magnetic or valence-bond long-range order. Moreover, the dominant symmetry-resolved spin and dimer correlations exhibit a common scaling behavior consistent with the emergent $SO(6)$ monopole multiplet of the Dirac spin liquid. Finally, the fidelity of the optimized NQSs with Gutzwiller-projected mean-field states increasingly favors the Dirac state over the competing $Z_{2}$ candidates as the system size grows. Together, these complementary results provide evidence for a $U(1)$ Dirac spin-liquid ground state in the kagome Heisenberg antiferromagnet.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05174",
  "author_total": 4,
  "authors": [
    {
      "name": "Zheng-Hang Sun"
    },
    {
      "name": "Christopher Roth"
    },
    {
      "name": "Ao Chen"
    },
    {
      "name": "Markus Heyl"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ahhpsxe2v9bbf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05174",
  "fulltext_url": null,
  "id": "ahhpsxe2v9bbf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05174",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05174",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ahhpsxe2v9bbf.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.05174",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05174"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Evidence for a Dirac Spin Liquid in the Kagome Heisenberg Antiferromagnet from High-Precision Neural-Network Quantum States",
  "title_text": "Evidence for a Dirac Spin Liquid in the Kagome Heisenberg Antiferromagnet from High-Precision Neural-Network Quantum States",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:25Z",
  "url": "https://research.draconitic.com/paper/ahhpsxe2v9bbf",
  "venue": "arXiv",
  "versions": []
}