{
  "abstract": "Quasicrystals lack the translational symmetry that underlies Bloch decomposition and Brillouin-zone integration, making full-band momentum-resolved electronic structure difficult to formulate and compute. We develop a systematically convergent reciprocal-space tight-binding framework for a broad class of quasicrystals. The method combines two systematically refinable components: a Fourier-module scattering-channel Hamiltonian that yields local spectral and current-current correlation quantities at each physical momentum, and an expanding hierarchy of pseudo-Brillouin zones that converts the resulting local quantities into bulk thermodynamic observables through an exact local-to-global relation. Applied to the Penrose and Ammann-Beenker models, the framework uncovers full-band momentum-resolved quasibands and a multichannel mechanism for pseudogap formation, both beyond the scope of low-energy effective models. It further resolves Zeeman-driven gap closings and reopenings, quantized Chern plateaus, and the phason invariance of bulk spectral and topological observables. This framework provides a unified reciprocal-space route to full-band spectral and topological properties of quasicrystals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06043",
  "author_total": 4,
  "authors": [
    {
      "name": "Donglin Yang"
    },
    {
      "name": "Huajie Chen"
    },
    {
      "name": "Dexuan Zhou"
    },
    {
      "name": "Xiaoxu Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2jmqc9pkc3etk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06043",
  "fulltext_url": null,
  "id": "2jmqc9pkc3etk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06043",
  "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.mtrl-sci"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2505|Quasicrystal Structures and Properties"
    ]
  ],
  "openalex": "W7212040848",
  "pdf_url": "https://arxiv.org/pdf/2609.06043",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2jmqc9pkc3etk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06043",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06043"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Momentum-Resolved Electronic Structure for Quasicrystals: Full-Band Spectra and Chern Number",
  "title_text": "Momentum-Resolved Electronic Structure for Quasicrystals: Full-Band Spectra and Chern Number",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/2jmqc9pkc3etk",
  "venue": "arXiv",
  "versions": []
}