{
  "abstract": "We study the critical properties and non-equilibrium dynamics of the topological Anderson phase transition in a strongly disordered Chern insulator. We show that a critical length scale emerges in the real-space profile of the local Chern marker and matches the corresponding correlation-length critical exponent found in the literature. We further determine the dynamical critical exponent from the frequency-dependent conductivity, finding values consistent with those of non-interacting models in the integer quantum Hall universality class. We then ramp the disorder strength across the phase transition and investigate the ensuing non-equilibrium dynamics. In contrast to clean topological systems, the spectral gap is closed due to localized states and consequently the generation of excitations does not exhibit Kibble-Zurek scaling. Despite this, we find that the non-equilibrium length scale extracted from the local Chern marker shows signatures of the Kibble-Zurek scaling. Our results demonstrate that the non-equilibrium dynamics of the topological Anderson transition features decoupling between the excitations and the emergent length scale as known from clean systems, and establish the local Chern marker as a probe of the emergent length scale during the quench.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.03426",
  "author_total": 4,
  "authors": [
    {
      "name": "Lara Ulčakar"
    },
    {
      "name": "Jernej Mravlje"
    },
    {
      "name": "Gal Lemut"
    },
    {
      "name": "Tomaž Rejec"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4a9g66g2eck45.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.03426",
  "fulltext_url": null,
  "id": "4a9g66g2eck45",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.03426",
  "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.str-el"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7163399830",
  "pdf_url": "https://arxiv.org/pdf/2606.03426",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4a9g66g2eck45.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:55Z",
      "native_id": "2606.03426",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.03426"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Criticality and Quench Dynamics at the Anderson Transition of a Chern Insulator",
  "title_text": "Criticality and Quench Dynamics at the Anderson Transition of a Chern Insulator",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:05Z",
  "url": "https://research.draconitic.com/paper/4a9g66g2eck45",
  "venue": "arXiv",
  "versions": []
}