{
  "abstract": "The orbital susceptibility of a small disordered grain is dominated by rare samples in which an occupied and an empty level nearly touch. In a chaotic grain such near-degeneracies are suppressed by level repulsion and must also coincide with the chemical potential, so the mean susceptibility stays finite. In a neutral honeycomb flake, chiral (sublattice) symmetry removes the second condition: It places the chemical potential in the middle of the smallest gap, in every disorder realization. Here we show that the mean orbital susceptibility then grows as $\\ln(1/T)$ at low temperature $T$ if disorder can close this gap while a magnetic field still mixes the two levels, and that the hopping geometry decides whether it can: Positive nearest-neighbor hopping on a compact hexagonal flake keeps the gap open, third-neighbor hopping allows it to close. In a chiral random-matrix model with $n$ level pairs the coefficient of the logarithm is $C_n=\\sqrt{2/n}\\,Γ[(n+1)/2]/Γ(n/2)$, close to unity, and a detuned chemical potential cuts the logarithm off.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25555",
  "author_total": 1,
  "authors": [
    {
      "name": "B. Murzaliev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3jgjg9ccmsaec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25555",
  "fulltext_url": null,
  "id": "3jgjg9ccmsaec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25555",
  "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"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7223047359",
  "pdf_url": "https://arxiv.org/pdf/2610.25555",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3jgjg9ccmsaec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25555",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25555"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Chiral symmetry and the orbital susceptibility of disordered honeycomb flakes",
  "title_text": "Chiral symmetry and the orbital susceptibility of disordered honeycomb flakes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/3jgjg9ccmsaec",
  "venue": "arXiv",
  "versions": []
}