{
  "abstract": "Fibonacci anyons provide a universal platform for topological quantum computation, and emerge as low-energy excitations in the $\\mathbb{Z}_3$ Read-Rezayi phase in the fractional quantum Hall effect. However, realistic microscopic realizations of this phase in the absence of a magnetic field have remained elusive. We study a model of periodically modulated Bernal bilayer graphene with gate-screened Coulomb interactions. Using the recently developed target-phase optimization method in conjunction with band-projected exact diagonalization, we identify at filling $ν=3/5$ a region of parameter space whose ground state is consistent with a Read-Rezayi fractional Chern insulator. The partially filled band from which it arises is a part of a two-band complex which mimics geometric aspects of the lowest and first Landau levels, with the ground state at $ν=1/2$ consistent with the Moore-Read state. Our results suggest that modulated Bernal graphene can realize delicate non-Abelian fractional quantum Hall states at zero magnetic field, while demonstrating target-phase optimization as a practical route to discovering such phases in realistic, high-dimensional microscopic models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31846",
  "author_total": 6,
  "authors": [
    {
      "name": "Ruth Mora-Soto"
    },
    {
      "name": "André Grossi Fonseca"
    },
    {
      "name": "Raul Perea-Causin"
    },
    {
      "name": "Hui Liu"
    },
    {
      "name": "Emil J. Bergholtz"
    },
    {
      "name": "Marin Soljačić"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/afjecwgcz2503.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31846",
  "fulltext_url": null,
  "id": "afjecwgcz2503",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31846",
  "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",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214937892",
  "pdf_url": "https://arxiv.org/pdf/2609.31846",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/afjecwgcz2503.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.31846",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31846"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Read-Rezayi fractional Chern insulators in modulated Bernal graphene",
  "title_text": "Read-Rezayi fractional Chern insulators in modulated Bernal graphene",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/afjecwgcz2503",
  "venue": "arXiv",
  "versions": []
}