{
  "abstract": "Altermagnets are a novel class of magnetic systems characterized by their momentum-dependent spin splitting without net magnetization. In this work, we extend established Euclidean tight-binding models of altermagnets to regular hyperbolic lattices in two spatial dimensions defined on a discretized Poincaré disk. Using hyperbolic crystallography and Abelian hyperbolic band theory, we show that the inclusion of next-nearest neighbor hopping is sufficient to induce spin splitting in minimal tight-binding models of bipartite hyperbolic lattices. While certain families and special cases of hyperbolic lattices remain antiferromagnetic, we identify an entire family and a special case that generically permit spin splitting in this framework. Hence, altermagnetism is inherent to certain hyperbolic lattices. Since Abelian hyperbolic band theory yields a momentum space that is at least four-dimensional, we classify the leading spin-splitting harmonics using four-dimensional atomic orbitals. As an outlook, we apply non-Abelian hyperbolic band theory to the $\\{10,5\\}$ lattice. Although its Abelian spectrum is spin degenerate, two selected higher-genus supercells exhibit spin splitting. This finding suggests, that spin degeneracy does not necessarily persist within all translation representation sectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. Research 8, 033359 (2026)",
  "arxiv": "2605.10602",
  "author_total": 4,
  "authors": [
    {
      "name": "Eric Petermann"
    },
    {
      "name": "Kristian Mæland"
    },
    {
      "name": "Haye Hinrichsen"
    },
    {
      "name": "Björn Trauzettel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bms756c1yg6hw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.10602",
  "fulltext_url": null,
  "id": "bms756c1yg6hw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.10602",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.10602",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bms756c1yg6hw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2605.10602",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.10602"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Inherent altermagnetism in minimal tight-binding models of regular hyperbolic lattices",
  "title_text": "Inherent altermagnetism in minimal tight-binding models of regular hyperbolic lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/bms756c1yg6hw",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/h2ys-c3rz",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}