{
  "abstract": "Altermagnets combine compensated magnetic order with momentum-dependent spin splitting, providing a symmetry-rich platform for exploring nonlinear quantum-geometric transport. In the d-wave altermagnet considered here, the antiunitary symmetry operation $TC_{4z}$ enforces a vanishing momentum-integrated Berry curvature, while inversion symmetry forbids a finite Berry-curvature dipole. Consequently, the Berry curvature quadrupole (BCQ) can provide a contribution to the nonlinear Hall response, scaling as $τ^2$, where $τ$ denotes the relaxation time. We derive a gauge-covariant Wannier interpolation formula that enables efficient evaluation of the BCQ directly from first-principles Wannier tight-binding Hamiltonians. Applying this framework to $\\mathrm{KV_2Se_2O}$, we calculate the momentum-space distribution of the BCQ and the associated chemical potential dependent nonlinear conductivity. The momentum-resolved analysis reveals that the dominant contribution originates from spin-orbit coupling induced avoided arossings, directly linking the gap structure to the sign-changing nonlinear response. Our work establishes a general first-principles route to higher-order quantum-geometric responses in altermagnets, opening avenues for exploring nonlinear Hall effects in next-generation spintronic and magnetoelectronic devices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41274",
  "author_total": 4,
  "authors": [
    {
      "name": "Jiacheng Yao"
    },
    {
      "name": "Zhuocheng Lu"
    },
    {
      "name": "Zhichao Guo"
    },
    {
      "name": "Hua Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/abp4yqfpb9sq3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41274",
  "fulltext_url": null,
  "id": "abp4yqfpb9sq3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41274",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41274",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/abp4yqfpb9sq3.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41274",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41274"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Berry curvature quadrupole induced third-order anomalous Hall effect in altermagnetic $\\mathrm{KV_2Se_2O}$",
  "title_text": "Berry curvature quadrupole induced third-order anomalous Hall effect in altermagnetic KV_2Se_2O",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/abp4yqfpb9sq3",
  "venue": "arXiv",
  "versions": []
}