{
  "abstract": "Two-dimensional materials can host topological phases stabilized either by an intrinsic moiré potential or topological crystallization. Crucial to the topology of these phases is the interplay between the (self-consistently generated) potential and the spinor structure, which imbues the band-projected potential with momentum-dependence. Truncating this potential at linear-order in momentum, we obtain a three-band model that captures the low-energy band structure and Berry curvature of such topological bands. We analytically find that the Berry curvature strongly depends on momentum-dependence of the potential. Furthermore, we identify that the model can be tuned to have emergent symmetries, including $U(1)$ and anti-unitary symmetries. Emergent-symmetry breaking perturbations drive the system to regimes hosting topological flat bands, quadratic band touchings, and multiple Dirac cones. We recover many of these features when studying an un-truncated model of a $λ$-jellium spinor inside of a periodic potential. Our results reveal a rich interplay of spinor structure and a potential in determining the topology of the ground state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17209",
  "author_total": 2,
  "authors": [
    {
      "name": "Avi Vadali"
    },
    {
      "name": "Tomohiro Soejima"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9nqsnqfbtysg3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17209",
  "fulltext_url": null,
  "id": "9nqsnqfbtysg3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17209",
  "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.str-el"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7221798224",
  "pdf_url": "https://arxiv.org/pdf/2610.17209",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9nqsnqfbtysg3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.17209",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17209"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Berry curvature from plane-wave mixing: A three-band model with emergent symmetries",
  "title_text": "Berry curvature from plane-wave mixing: A three-band model with emergent symmetries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/9nqsnqfbtysg3",
  "venue": "arXiv",
  "versions": []
}