{
  "abstract": "Conventional descriptions of light in materials rely on macroscopic models that average the optical response over the microscopic lattice structures. These models are deployed in the semi-classical limit, where the collective local response over many lattice sites is adequate. However, they fail to capture the full spatial dispersion, which requires a lattice-resolved description of light. We address this limitation by formulating a deep-microscopic nonlocal theory of the photon based on the Maxwell Hamiltonian and its characteristic equation. The solution reveals the full spatial dispersion in the form of deep-microscopic photonic bandstructure, and corresponding real-space Bloch field textures. We demonstrate our theory for a two-dimensional (2D) tight-binding model of a gapped honeycomb lattice. Our framework thus extends photons to the same microscopic footing as electrons or phonons, providing a unified route to studying topology, dissipation, and quantum fluctuations of light in dispersive materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33709",
  "author_total": 4,
  "authors": [
    {
      "name": "Pronoy Das"
    },
    {
      "name": "Sathwik Bharadwaj"
    },
    {
      "name": "Wenbo Sun"
    },
    {
      "name": "Zubin Jacob"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fanr748rr7151.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33709",
  "fulltext_url": null,
  "id": "fanr748rr7151",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33709",
  "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",
      "physics.optics"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7223870369",
  "pdf_url": "https://arxiv.org/pdf/2610.33709",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fanr748rr7151.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33709",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33709"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Deep-Microscopic Photonic Bandstructure of a Two-Dimensional Honeycomb Lattice",
  "title_text": "Deep-Microscopic Photonic Bandstructure of a Two-Dimensional Honeycomb Lattice",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/fanr748rr7151",
  "venue": "arXiv",
  "versions": []
}