{
  "abstract": "We develop a bulk description for the second-harmonic Hall response of fractional quantum Hall fluids with broken inversion and rotational symmetries, distinct from edge theories based on nonlinear edge-mode dispersion. By projecting a tilted massive Dirac model onto a single low-energy band, we construct a composite-boson Chern--Simons theory for the lowest Landau level that retains projection-induced nonlinear electromagnetic couplings. The nonlinear Hall resistivity vanishes in the dc limit, while its finite-frequency response retains the characteristic filling-factor dependence $ρ^{(2)}_{TLL}\\proptoν^{-2}$, where $ν$ is the Landau-level filling factor. At low frequency, its real and imaginary parts scale as $(ω/ω_c)^2$ and $ω/ω_c$, respectively, where $ω_c$ is the cyclotron frequency, and the response is strongly anisotropic with respect to the crystalline tilt axis. Notably, the Kohn-mode resonances present in the second-order conductivity cancel in the nonlinear Hall resistivity. These results establish finite-frequency nonlinear transport as a bulk probe of fractional quantum Hall fluids without requiring nonlinear edge-mode dispersion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33606",
  "author_total": 4,
  "authors": [
    {
      "name": "J. Luke Pimlott"
    },
    {
      "name": "Pablo Reiser"
    },
    {
      "name": "T. Hans Hansson"
    },
    {
      "name": "Habib Rostami"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3n1fpmxvxhs2e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33606",
  "fulltext_url": null,
  "id": "3n1fpmxvxhs2e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33606",
  "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"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum and electron transport phenomena"
    ]
  ],
  "openalex": "W7223869255",
  "pdf_url": "https://arxiv.org/pdf/2610.33606",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3n1fpmxvxhs2e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33606",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33606"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Second-Harmonic Bulk Response of Fractional Quantum Hall Fluids",
  "title_text": "Second-Harmonic Bulk Response of Fractional Quantum Hall Fluids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/3n1fpmxvxhs2e",
  "venue": "arXiv",
  "versions": []
}