{
  "abstract": "We propose and study a model of moire heterobilayer systems where the twist angle remains uniform and well defined only within a finite range, but deforms randomly at larger distances. The local twist angle is then subject to a certain probability distribution that penalizes large fluctuations around its mean value. Within the framework of the replica trick, we show that disorder averaging produces a nontrivial correlation with alternating sign between replicas, maximized only close the boundary of each local domain and along certain directions. We show that for the low-energy moire bands, exactly the same correlation can be generated in a dual model where fermions are coupled to non-Hermitian disorder, which can evade Anderson localization dynamically. This duality provides a new perspective to investigate twist-angle disorder in moire systems, and unveils some of the essential differences between twist-angle disorder and conventional disorder.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29064",
  "author_total": 2,
  "authors": [
    {
      "name": "Yi-Ming Wu"
    },
    {
      "name": "Nicole S. Ticea"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/chp19xkavbncy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29064",
  "fulltext_url": null,
  "id": "chp19xkavbncy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29064",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7204863367",
  "pdf_url": "https://arxiv.org/pdf/2608.29064",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/chp19xkavbncy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29064",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29064"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Duality Between Twist-Angle Disorder and Non-Hermitian Disorder",
  "title_text": "Duality Between Twist-Angle Disorder and Non-Hermitian Disorder",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/chp19xkavbncy",
  "venue": "arXiv",
  "versions": []
}