{
  "abstract": "Antiferromagnetic skyrmions evade the skyrmion Hall effect, but compensation suppresses their conventional topological charge Hall signal. We predict a semiclassical nonlinear topological orbital response of an isolated skyrmion in a $\\mathcal{PT}$-symmetric hexagonal antiferromagnet without spin-orbit coupling. In the diffusive, weak-emergent-field regime, the spin-dependent emergent Lorentz force reshapes the carrier distribution, generating a local orbital Hall-current correction and a local orbital accumulation, both quadratic in the applied electric field. The current correction requires spin-asymmetric longitudinal scattering, whereas the accumulation survives spin-symmetric scattering. When the spin-diffusion length greatly exceeds the strip width, the current correction persists while the accumulation approaches zero. Both signals are even under electric-field reversal, odd under reversal of the skyrmion topological charge $Q$, and helicity independent within this model. These symmetries enable rectified detection and distinguish this mechanism from the $Q$-even quantum-regime topological orbital Hall effect.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08022",
  "author_total": 3,
  "authors": [
    {
      "name": "Amir N. Zarezad"
    },
    {
      "name": "Arne Brataas"
    },
    {
      "name": "Alireza Qaiumzadeh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2fs1xgyav2cm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08022",
  "fulltext_url": null,
  "id": "f2fs1xgyav2cm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08022",
  "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"
    ],
    [
      "openalex",
      "3107|Magnetic properties of thin films"
    ]
  ],
  "openalex": "W7212013223",
  "pdf_url": "https://arxiv.org/pdf/2609.08022",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f2fs1xgyav2cm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.08022",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08022"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Nonlinear Topological Orbital Responses of Antiferromagnetic Skyrmions",
  "title_text": "Nonlinear Topological Orbital Responses of Antiferromagnetic Skyrmions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/f2fs1xgyav2cm",
  "venue": "arXiv",
  "versions": []
}