{
  "abstract": "Twisted bilayer materials provide a versatile platform for realizing correlated topological states. Motivated by the recent experimental realization of atomic Bose-Einstein condensates in twisted bilayer optical lattices, we investigate the emergence of fractional topological phases in such systems. For experimentally realistic parameters, the single-particle spectrum hosts a pair of quasi-degenerate nearly flat moiré bands. We show using self-consistent Hartree-Fock calculations that atomic interactions spontaneously break time-reversal symmetry, lift the quasi-degeneracy, and generate an isolated nearly flat band with a nonzero Chern number. At fractional filling, exact diagonalization of the Hamiltonian projected to this band reveals a threefold degenerate ground-state manifold and a characteristic particle entanglement spectrum, providing strong evidence for a fractional Chern insulator. The resulting many-body gap is of order \\(10^{-3}E_R\\), corresponding to a nanokelvin energy scale accessible to state-of-the-art cold-atom experiments. Our scheme requires neither spin-orbit coupling, as in transition metal dichalcogenides, nor a finite magnetic field, as in existing twisted-bilayer-graphene experiments, providing a highly tunable route to strongly correlated topological phases in twisted bilayer optical lattices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09733",
  "author_total": 4,
  "authors": [
    {
      "name": "Yan-Bin Yang"
    },
    {
      "name": "Jiong-Hao Wang"
    },
    {
      "name": "Shicheng Ma"
    },
    {
      "name": "Yong Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3s56q46hkjb6j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09733",
  "fulltext_url": null,
  "id": "3s56q46hkjb6j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09733",
  "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.quant-gas"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7212128066",
  "pdf_url": "https://arxiv.org/pdf/2609.09733",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3s56q46hkjb6j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.09733",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09733"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Fractional Chern Insulators in Twisted Bilayer Optical Lattices",
  "title_text": "Fractional Chern Insulators in Twisted Bilayer Optical Lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/3s56q46hkjb6j",
  "venue": "arXiv",
  "versions": []
}