{
  "abstract": "We investigate the electronic states of the K$_4$ lattice in a uniform magnetic field within a nearest-neighbor tight-binding model. The K$_4$ lattice is a \\rev{noncentrosymmetric three-dimensional network with triple-Dirac cones at the $Γ$ and H points}. By fixing the Bloch momentum component parallel to the field, the Peierls-substituted tight-binding problem reduces to an effective two-dimensional problem and yields a Hofstadter spectrum \\rev{whose self-similar subpatterns reflect the geometry of the lattice projected onto the plane perpendicular to the field}. A square-like substructure emerges on the flux scale $ϕ= 1/8$ for $\\bm{B}\\parallel[100]$, and honeycomb- and triangular-like substructures emerge on the finer scale $ϕ= 1/32$ for $\\bm{B}\\parallel[111]$\\rev{. Here $ϕ$ is the flux through the elementary plaquette of the projected lattice, and these scales correspond to one flux quantum per projected unit cell. Owing to the screw axes of the chiral K$_4$ network, the field-parallel momentum acts as an additional flux, which, for commensurate values of this momentum, shifts the spectrum along the flux axis and brings the second triple-Dirac cone at the H point into the magnetic spectrum}. In the weak-field limit, we derive the Landau-level structure from a low-energy effective Hamiltonian around the $Γ$ point. The three-component nature of the triple-Dirac cone gives rise to a cubic secular equation, whose solutions describe how a pseudospin-flat branch coexists with two relativistic Landau ladders \\rev{and a single chiral $n=0$ level dispersing linearly along the field, in agreement with the lattice calculation}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27539",
  "author_total": 3,
  "authors": [
    {
      "name": "Katsuhiro Takahashi"
    },
    {
      "name": "Shouya Yoshida"
    },
    {
      "name": "Katsunori Wakabayashi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9m6w04bvdvczn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27539",
  "fulltext_url": null,
  "id": "9m6w04bvdvczn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27539",
  "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": "W7223087954",
  "pdf_url": "https://arxiv.org/pdf/2610.27539",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9m6w04bvdvczn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27539",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27539"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Magnetic-Field Effects on the Electronic States of the K$_4$ Lattice",
  "title_text": "Magnetic-Field Effects on the Electronic States of the K_4 Lattice",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/9m6w04bvdvczn",
  "venue": "arXiv",
  "versions": []
}