{
  "abstract": "We investigate colored $Δ_T$ noise, i.e., finite-frequency $Δ_T$ noise, as a probe of edge-mode (EM) transport in quantum Hall and quantum spin Hall systems. Colored $Δ_T$ noise probes finite-frequency nonequilibrium current fluctuations and dynamical transport properties that are often obscured in DC measurements of conductance and noise. Since $Δ_T$ noise is driven solely by a temperature and voltage bias under zero average charge current conditions, it eliminates current-induced Joule heating and directly probes intrinsic thermal fluctuations. We show that chiral, spin-conserving helical, and spin-flip helical (trivial) EMs exhibit distinct colored $Δ_T$-noise signatures under appropriate bias protocols. Incorporating energy-dependent scattering through a quantum point contact, we demonstrate that electron-hole asymmetry significantly modifies the finite-frequency spectrum while preserving these distinguishing features. Notably, colored $Δ_T$ noise exhibits a frequency-dependent sign reversal absent in the corresponding white ($ω=0$) $Δ_T$ noise. We further investigate zero-temperature colored quantum shot noise and find that it vanishes identically for chiral EMs, whereas the spin-conserving helical response changes sign with frequency. By contrast, spin-flip helical (trivial) EMs exhibit a positive colored shot-noise spectrum. However, the corresponding colored $Δ_T$ noise retains its characteristic sign reversal, providing a robust distinction between spin-conserving helical and spin-flip helical (trivial) EM transport. These results establish colored $Δ_T$ noise as a robust, experimentally accessible, complementary probe for identifying chiral, spin-conserving helical, and spin-flip helical (trivial) EM transport in mesoscopic topological systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Applied Physics Letters 129, 093101 (2026)",
  "arxiv": "2607.17354",
  "author_total": 2,
  "authors": [
    {
      "name": "Sachiraj Mishra"
    },
    {
      "name": "Colin Benjamin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5vbgnj41hxy8c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.17354",
  "fulltext_url": null,
  "id": "5vbgnj41hxy8c",
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  "landing_url": "https://arxiv.org/abs/2607.17354",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
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      "arxiv",
      "hep-th"
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      "arxiv",
      "math-ph"
    ],
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      "math.MP"
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      "arxiv",
      "physics.app-ph"
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    [
      "arxiv",
      "quant-ph"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.17354",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5vbgnj41hxy8c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2607.17354",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.17354"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Colored $Δ_T$ noise probes the topological character of edge modes",
  "title_text": "Colored Δ_T noise probes the topological character of edge modes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/5vbgnj41hxy8c",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1063/5.0353027",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}