{
  "abstract": "The zero modes of the Aharonov-Casher Hamiltonian form an exactly flat, vortexable Chern band in any nonuniform magnetic field, analogous to the lowest Landau level. We ask which local Hamiltonians host exactly flat higher-vortexable bands. For a scalar Hamiltonian, an exactly flat first-vortexable band requires a mass proportional to the local field; the Dirac analogue has the same structure. For periodic Bernal bilayer graphene with nonzero mean flux, the exact zero-mode pair is genuinely first-vortexable if and only if the interlayer hopping has nonzero mean; zero-mean hopping instead gives a decomposable pair. Multiorbital models yield exact higher-vortexable chains to arbitrary order, while remaining first order in momentum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20380",
  "author_total": 2,
  "authors": [
    {
      "name": "Daniel Spasic-Mlacak"
    },
    {
      "name": "Nigel R. Cooper"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dvvzpn54gaxtt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20380",
  "fulltext_url": null,
  "id": "dvvzpn54gaxtt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20380",
  "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|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7222015380",
  "pdf_url": "https://arxiv.org/pdf/2610.20380",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dvvzpn54gaxtt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.20380",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20380"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Designing Hamiltonians with Exactly Flat Higher-Vortexable Bands",
  "title_text": "Designing Hamiltonians with Exactly Flat Higher-Vortexable Bands",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/dvvzpn54gaxtt",
  "venue": "arXiv",
  "versions": []
}