{
  "abstract": "We examined the energy-momentum relationship of the valence band of Cu$_2$O, which has gained interest as an emerging solid host for giant Rydberg states. Our findings reveal a nonparabolic dispersion, described using the rest mass (0.570 times the free electron mass) and rescaled light speed ($1.6\\times 10^5$ m/s), which draws parallels with relativistic theory for high-energy particles. We propose a straightforward expression for the bound-state energies of Rydberg excitons with finite quantum defects, whose energy scheme deviates from the hydrogenic series. This formulation identifies relativistic kinematics as the physical origin of quantum defects, offering a streamlined basis for future studies on complex many-body correlations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26435",
  "author_total": 3,
  "authors": [
    {
      "name": "Mitsuyoshi Takahata"
    },
    {
      "name": "Ikuko Akimoto"
    },
    {
      "name": "Nobuko Naka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0nr86a639zs8t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26435",
  "fulltext_url": null,
  "id": "0nr86a639zs8t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26435",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Strong Light-Matter Interactions"
    ]
  ],
  "openalex": "W7223027874",
  "pdf_url": "https://arxiv.org/pdf/2610.26435",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0nr86a639zs8t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26435",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26435"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Giant Rydberg Excitons Delineated as Relativistic Bound States",
  "title_text": "Giant Rydberg Excitons Delineated as Relativistic Bound States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/0nr86a639zs8t",
  "venue": "arXiv",
  "versions": []
}