{
  "abstract": "Non-Abelian chiral spin liquids (CSLs) host non-Abelian anyon excitations and are promising platforms for topological quantum computation. However, realizing non-Abelian CSLs in short-range interacting spin systems remains elusive. Here, we study a spin-$1$ square-lattice model with the first- and second-neighbor bilinear ($J_1,J_2$) and biquadratic interactions ($K_1,K_2$), as well as the three-spin scalar chiral coupling $J_χ$. Inspired by the evidence of the Moore-Read state in exact diagonalization and infinite Projected Entangled Pair States calculations, we fix $J_1=1.0$, $J_2/J_1=0.623$, $K_1/J_1=-0.176$, and obtain a quantum phase diagram for $0 \\leq K_2/J_1 \\leq 0.4$ and $0.3 \\leq J_χ/J_1 \\leq 0.6$ by using the density matrix renormalization group (DMRG) calculations. We identify a stripe antiferromagnetic phase, a Néel antiferromagnetic phase, a magnetically ordered chiral spin state phase, and a non-Abelian CSL phase emerging near the boundaries of the ordered phases. The unbiased DMRG results provide strong evidence for the Moore-Read state, including the three topological sectors, the quantized spin Chern number $C=1$, and the level counting of low-lying entanglement spectra which is consistent with the chiral SU(2)$_2$ conformal field theory. Our results may shed new light on searching for non-Abelian CSLs in other higher-spin ($S > 1/2$) systems with short-range couplings.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15061",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiao-Tian Zhang"
    },
    {
      "name": "Yuan Yang"
    },
    {
      "name": "D. N. Sheng"
    },
    {
      "name": "Shou-Shu Gong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9764xbwcjjwab.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15061",
  "fulltext_url": null,
  "id": "9764xbwcjjwab",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15061",
  "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"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7213249079",
  "pdf_url": "https://arxiv.org/pdf/2609.15061",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9764xbwcjjwab.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15061",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15061"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Non-Abelian chiral spin liquid in a spin-$1$ antiferromagnet on the square lattice",
  "title_text": "Non-Abelian chiral spin liquid in a spin-$1$ antiferromagnet on the square lattice",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/9764xbwcjjwab",
  "venue": "arXiv",
  "versions": []
}