{
  "abstract": "We show that the noncommutative second Chern number of a $(3+1)$D disordered axion pump remains quantized beyond global spectral gap closure at $W_g \\approx 14.5$. Large-scale computation of the second Chern number and finite-size scaling demonstrate convergence of $\\mathrm{Ch}_2$ toward $-1$ well into the mobility-gap regime ($W \\lesssim 16.5$), while the Středa-Hall response $\\partial_ϕ\\mathrm{Ch}_{0,3}$ departs rapidly after global spectral gap closure, serving as an internal control that distinguishes bulk mobility-gap protection from finite-size artifacts. Level statistics identify a 3D unitary Anderson transition at each pump slice and locate the mobility-edge bottleneck at $τ=0$, with critical disorder $W_c \\approx 18$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27324",
  "author_total": 2,
  "authors": [
    {
      "name": "Bryan Leung"
    },
    {
      "name": "Emil Prodan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4gtbexrwv8sfm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27324",
  "fulltext_url": null,
  "id": "4gtbexrwv8sfm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27324",
  "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.str-el"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214206257",
  "pdf_url": "https://arxiv.org/pdf/2609.27324",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4gtbexrwv8sfm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.27324",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27324"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping",
  "title_text": "Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/4gtbexrwv8sfm",
  "venue": "arXiv",
  "versions": []
}