{
  "abstract": "Bernal-stacked bilayer graphene (BLG), in which a graphene layer is stacked atop another and laterally shifted by a lattice constant, offers remarkable tunability in its single-particle states under applied magnetic and displacement fields. Owing to this tunability, recent transport and scanning tunneling microscopy experiments in the presence of a perpendicular magnetic field and finite interlayer displacement fields have observed even-denominator fractional quantum Hall (FQH) states at half-filling in the first excited, namely, $\\mathcal{N}{=}2$, Landau level (LL) of BLG. In contrast, at zero displacement field, a gapless composite fermion Fermi liquid (CFFL) is realized at half-filling of the $\\mathcal{N}{=}2$ LL. Motivated by these experiments, we compute the phase diagram as a function of the displacement field in the half-filled $\\mathcal{N}{=}2$ LL of BLG by studying the competition between the CFFL and the Moore-Read state---a candidate even-denominator FQH state---by calculating their thermodynamic energies in this setting. We find that the modified effective Coulomb interaction, induced by changes in the single-particle states with increasing displacement field, softens the inter-electronic repulsion at short distances, thereby stabilizing the Moore-Read state over the CFFL in the $\\mathcal{N}{=}2$ LL of BLG. We also study the nature of FQH states at fillings $2/5$, $3/7$, $4/9$, and $6/13$ in the $\\mathcal{N}{=}2$ LL of BLG. Our results suggest that, with increasing displacement field, the Jain composite-fermion states at $3/7$, $4/9$, and $6/13$ transition into states with distinct topological order that are well-captured by parton wave functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19379",
  "author_total": 3,
  "authors": [
    {
      "name": "Rakesh K. Dora"
    },
    {
      "name": "Udit Khanna"
    },
    {
      "name": "Ajit C. Balram"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0wy0j4jgt4nyb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19379",
  "fulltext_url": null,
  "id": "0wy0j4jgt4nyb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19379",
  "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.mes-hall"
    ],
    [
      "openalex",
      "3107|Quantum and electron transport phenomena"
    ]
  ],
  "openalex": "W7213580668",
  "pdf_url": "https://arxiv.org/pdf/2609.19379",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0wy0j4jgt4nyb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.19379",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19379"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Displacement field stabilizes even-denominator and partonic fractional quantum Hall states in the $\\mathcal{N}{=}2$ Landau levels of Bernal-stacked bilayer graphene",
  "title_text": "Displacement field stabilizes even-denominator and partonic fractional quantum Hall states in the 𝒩=2 Landau levels of Bernal-stacked bilayer graphene",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/0wy0j4jgt4nyb",
  "venue": "arXiv",
  "versions": []
}