{
  "abstract": "Transverse optical rectification has been reported in a one-dimensional asymmetric Au grating even though an ideal profile $h(x)$ retains the $xz$ mirror $\\Me:y\\to-y$. Because $J_y$ is odd under $\\Me$, whereas the $p$-polarized bilinears $|E_x|^2$, $|E_z|^2$, and $\\mathrm{Re}(E_xE_z^*)$ are even, the transverse dc current requires a distinct mirror-odd factor $\\Lamy$. We formulate a symmetry-complete effective model combining the origin-independent cell invariant $\\Astr=\\mathrm{Im}(h_1^2h_2^*)$, Drude--Edelstein spin polarization, and spin--orbit conversion. We then propose a dynamical realization of $\\Lamy$ for a finite-width device. A driven pump-like plasmonic mode at $k_y\\simeq0$ generates a mirror pair of transverse surface-plasmon-polariton quasinormal modes $(K_x,\\pm q_y)$ through the same third-order susceptibility that produces self- and cross-Kerr shifts. Four-wave mixing creates the pair and locks its phase sum but, by itself, cannot change the pair-population difference. Weak coherent backscattering makes the relative drive phase observable; a small phase difference from incident $k_y$, spot displacement, edges, or disorder then unfolds a Kerr directional instability and deterministically selects its sign. The resulting population imbalance supplies the dynamical mirror-odd factor $\\Ldyn=λ_ηη$ in the structure-dependent $\\Astr\\Lamy\\langle j_xs_y\\rangle_t$ side-jump-like channel, which vanishes for the centered symmetric grating because $\\Astr=0$. We give the complete three-mode equations, the pump-only and saturated-state Bogoliubov problems, the imperfect-pitchfork reduction, and a validated normalized numerical realization. The normalized equations exhibit a robust supercritical pitchfork with an approximately one-half critical exponent and phase-reversed branch selection.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05761",
  "author_total": 2,
  "authors": [
    {
      "name": "Michael N. Leuenberger"
    },
    {
      "name": "Richard M. Osgood III"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pckt0yrvvkzq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05761",
  "fulltext_url": null,
  "id": "6pckt0yrvvkzq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05761",
  "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"
    ],
    [
      "openalex",
      "2204|Plasmonic and Surface Plasmon Research"
    ]
  ],
  "openalex": "W7220714525",
  "pdf_url": "https://arxiv.org/pdf/2610.05761",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pckt0yrvvkzq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.05761",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05761"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Mirror-Constrained Optical Hall Rectification in Asymmetric Gold Gratings:\\\\ Edelstein Conversion and a Phase-Seeded Kerr Four-Wave Mixing Instability",
  "title_text": "Mirror-Constrained Optical Hall Rectification in Asymmetric Gold Gratings:\\\\ Edelstein Conversion and a Phase-Seeded Kerr Four-Wave Mixing Instability",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/6pckt0yrvvkzq",
  "venue": "arXiv",
  "versions": []
}