{
  "abstract": "We reassess the semiclassical route to integer quantum Hall transport around one idea: the separation of fast, quantised cyclotron motion from a slow, self-consistently screened guiding-centre landscape. Bohr--Sommerfeld quantisation of the canonical action fixes the Landau spectrum; smooth confinement turns it into Born--Oppenheimer surfaces with adiabatic parameter $\\ell|\\nabla V|/\\hbarω_c$; screening supplies the self-consistent field. Transport is quasilocal, $R_H=\\intρ_Hj_y\\,dx/\\int j_y\\,dx$ with $j_y\\propto1/ρ_l$, so within the regularised local Ohm model the incompressible strips attract the current by weight and the computed Joule-power profile follows the current profile. In linear response the intrinsic electrostatic AC correction of the frozen-profile model is reactive, $\\mathrm{Im}\\,R_H\\proptoω$, with $\\mathrm{Re}\\,R_H-R_H^{\\rm DC}\\proptoω^{2}$ below $10^{-9}$ up to $2$~MHz. With the current fed back into the electrostatics at $1$--$5\\,μ$A, where the Hall drop is one to five cyclotron gaps, the driven boundary condition breaks the reflection symmetry of the bar, the Hall drop concentrates in one strip (interchanged to $10^{-9}$ under current reversal), and the plateau narrows from its low-field flank while, for the GaAs parameters studied, its high-field edge stays at $ν(0)=2$. A local transverse thermal closure inspired by Akera, evaluated as a post-process on the frozen profile with two phonon-loss laws, indicates that the narrow current-carrying strips of the low-field flank may heat by of order the lattice temperature; with the activated-heat-capacity closure the cold strip loses its stationary solution at model-dependent currents of $0.3$--$2\\,μ$A. The thermal conclusions are bounded by the loss law and by the frozen profile, and are presented as estimates.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15231",
  "author_total": 1,
  "authors": [
    {
      "name": "A. Siddiki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cjy05frp6wzxm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15231",
  "fulltext_url": null,
  "id": "cjy05frp6wzxm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15231",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "openalex",
      "3107|Quantum and electron transport phenomena"
    ]
  ],
  "openalex": "W7213278274",
  "pdf_url": "https://arxiv.org/pdf/2609.15231",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cjy05frp6wzxm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15231",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15231"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Quasilocal transport in the integer quantised Hall effect: adiabatic separation, local Ohm's law, and Joule heating of the incompressible strips",
  "title_text": "Quasilocal transport in the integer quantised Hall effect: adiabatic separation, local Ohm's law, and Joule heating of the incompressible strips",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/cjy05frp6wzxm",
  "venue": "arXiv",
  "versions": []
}