{
  "abstract": "We present the theory of the Landau levels of $C_3$ high-fold fermions in honeycomb lattices. These fermions arise as a generalization of the tight-binding model in a honeycomb lattice with one orbital per site, known to describe graphene, to a family of models with several orbitals per site transforming according to representations of $C_3$, relevant for triangulene two-dimensional crystals. The models are defined by the number of orbitals $n_a$ and $n_b$ at the $a$ and $b$ sites of the unit cell. They feature energy bands that combine flat bands and Dirac cones, that are isomorphic to those of graphene, the Lieb, $p_{xy}$ honeycomb, and the Kagome tight-binding models. Combining tight-binding and $k\\cdot p$ methods, here we compute the Landau levels of the $(1,1)$, $(1,2)$, $(2,2)$ and $(3,3)$ models, we compare them to those of the reference models, and we explore the similarities and differences with the Landau levels in graphene. Our findings reveal that the nature of $C_3$ high-fold fermions combine Dirac-type Landau quantization, originating from the linear crossings and associated relativistic band dispersion, with anomalous Landau quantization rooted in the quantum geometry of the singular flat bands.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20595",
  "author_total": 2,
  "authors": [
    {
      "name": "Luisa Madail"
    },
    {
      "name": "Joaquín Fernández-Rossier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/275hw8hdxn9xv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20595",
  "fulltext_url": null,
  "id": "275hw8hdxn9xv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20595",
  "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"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7221973342",
  "pdf_url": "https://arxiv.org/pdf/2610.20595",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/275hw8hdxn9xv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.20595",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20595"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Landau quantization of $C_3$ high-fold fermions in honeycomb lattices",
  "title_text": "Landau quantization of C_3 high-fold fermions in honeycomb lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/275hw8hdxn9xv",
  "venue": "arXiv",
  "versions": []
}