{
  "abstract": "Non-Hermitian systems host unconventional topological phenomena, while real-space spectral calculations in three dimensions remain computationally challenging. Here, we develop a tensor-network framework that combines a quantics-based matrix-product-operator representation of large real-space tight-binding Hamiltonians with a non-Hermitian kernel polynomial method. The Hermitized spectral problem is retained within the compact tensor-network representation, enabling real-space spectral function calculations for systems exceeding one billion lattice sites. Using this approach, we investigate a three-dimensional non-Hermitian higher-order topological insulator and resolve its corner-mode spectral response on a billion-site lattice, demonstrating the scalability and computational reach of the method. By tuning the gain--loss strength, we identify distinct in-gap corner-mode features in the weak- and strong-gain--loss regimes. Our results establish a scalable tensor-network framework for real-space spectral calculations in exceptionally large non-Hermitian lattice systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.16424",
  "author_total": 3,
  "authors": [
    {
      "name": "Yitao Sun"
    },
    {
      "name": "Jose L. Lado"
    },
    {
      "name": "Guangze Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/azqp4xkvbwxza.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.16424",
  "fulltext_url": null,
  "id": "azqp4xkvbwxza",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.16424",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7164889676",
  "pdf_url": "https://arxiv.org/pdf/2606.16424",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/azqp4xkvbwxza.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2606.16424",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.16424"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Real-space spectral functions of three-dimensional billion-size topological non-Hermitian matter with tensor networks",
  "title_text": "Real-space spectral functions of three-dimensional billion-size topological non-Hermitian matter with tensor networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/azqp4xkvbwxza",
  "venue": "arXiv",
  "versions": []
}