{
  "abstract": "Thermoelectric p- and n-type legs are commonly paired by matching their Seebeck magnitudes, although a cooler responds to heat transported through its complete electrical and thermal network. We decompose the leg coefficients into differential thermopower $α=S_p-S_n$ and common thermopower $M=(S_p+S_n)/2$. In a connected steady-state scalar thermoelectric network, a temperature-independent co-shift applied to every electrically active segment is an exact terminal null. A temperature-dependent perturbation of the legs relative to fixed leads is instead physical. At fixed current and shared isothermal endpoints, its first-order cold-port response is the action of $Γ_m=T\\,dm/dT$ on the difference between the p- and n-branch oriented collection measures. We prove that every continuous $Γ_m$ cancels if and only if these measures are equal. In the constant-property, linear-common-mode limit, matching $R_i/K_i^{\\rm leg}$ is sufficient and does not require identical legs. One- and two-dimensional calculations confirm the analytic reductions within their stated domains. For split thermal pads, the analysis gives the exact array law $ΔQ_{c,Σ}=\\sum_j C_jI_jΔT_{c,j}$ and, for series elements with isothermal hot pairs, $IΔV_Σ=-ΔQ_{c,Σ}$. A representative seven-pair model gives corresponding increments of 7.87 mW and $-2.80$ mV. Branch transfer and endpoint topology therefore provide distinct material-pairing and device-test criteria for common-mode Thomson heat.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27519",
  "author_total": 10,
  "authors": [
    {
      "name": "Peng Kang"
    },
    {
      "name": "Da Wan"
    },
    {
      "name": "Shulin Bai"
    },
    {
      "name": "Wei Yin"
    },
    {
      "name": "Peng Wang"
    },
    {
      "name": "Chenglong Wen"
    },
    {
      "name": "Zhen Li"
    },
    {
      "name": "Yu Liu"
    },
    {
      "name": "Lei Zheng"
    },
    {
      "name": "Li-Dong Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3s64n0gxarrsb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27519",
  "fulltext_url": null,
  "id": "3s64n0gxarrsb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27519",
  "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.mtrl-sci"
    ],
    [
      "arxiv",
      "physics.app-ph"
    ],
    [
      "openalex",
      "2505|Advanced Thermoelectric Materials and Devices"
    ]
  ],
  "openalex": "W7204806584",
  "pdf_url": "https://arxiv.org/pdf/2608.27519",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3s64n0gxarrsb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:22Z",
      "native_id": "2608.27519",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27519"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Exact branch-transfer criterion for common-mode Thomson heat cancellation in thermoelectric couples",
  "title_text": "Exact branch-transfer criterion for common-mode Thomson heat cancellation in thermoelectric couples",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:22Z",
  "url": "https://research.draconitic.com/paper/3s64n0gxarrsb",
  "venue": "arXiv",
  "versions": []
}