{
  "abstract": "Chiral superconductivity has recently been confirmed in rhombohedral tetra- and pentalayer graphene near the BCS--BEC crossover, but no theory tells the experimentalist what thermal Hall response to expect, or why any signal should persist above the phase-coherence temperature $T_c$. We show that the parity anomaly of $(2{+}1)$-dimensional field theory fixes the answer exactly, at all temperatures, with no free parameters: $κ_{xy}/T = (π^2 k_B^2/6h)\\,C_{\\rm BdG}\\,\\tanh[Δ(T)/(2k_BT)]$, where $C_{\\rm BdG}$ is the BdG Chern number and $Δ(T)$ is the fermionic excitation gap. The BCS--BEC two-gap relation $Δ^2 = Δ_{\\rm sc}^2 + Δ_{\\rm pg}^2$ makes the same formula govern both the condensate and pseudogap regimes, so the signal onsets at the pair-formation temperature $T^{*}$ rather than at $T_c$. Coleman--Hill non-renormalization and the $c_1 = 0$ theorem protect this result against interactions and finite-size artefacts. Three independent numerical validations confirm the topological input at machine precision (FHS Chern numbers, Wilson-loop $c_1 = 0$ test) and at the many-body level (DMRG on 28 converged ground states, including the real-space $p+ip$ signature $\\arg\\mathcal{A}_y - \\arg\\mathcal{A}_x = -π/2$ recovered to $10^{-14}$). The theory delivers an immediate falsifiable test that requires no new experimental apparatus: the sign of $κ_{xy}/T$ below $T_c$ must equal the sign of the anomalous Hall resistance $R_{xy}$ already measured above $T_c$, and four further predictions accessible by dilution-refrigerator nano-calorimetry on existing devices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18954",
  "author_total": 1,
  "authors": [
    {
      "name": "Kumar Ghosh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62w1qjaywh2tr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18954",
  "fulltext_url": null,
  "id": "62w1qjaywh2tr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18954",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7213524907",
  "pdf_url": "https://arxiv.org/pdf/2609.18954",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62w1qjaywh2tr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.18954",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18954"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Parity anomaly governs the thermal Hall response of chiral superconductivity in rhombohedral graphene above and below $T_c$",
  "title_text": "Parity anomaly governs the thermal Hall response of chiral superconductivity in rhombohedral graphene above and below T_c",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/62w1qjaywh2tr",
  "venue": "arXiv",
  "versions": []
}