{
  "abstract": "Based on a many-body formulation, we derive an electron-phonon coupling including excitonic effects that preserves thermodynamic detailed balance between electronic and phononic scattering processes. We start from the microscopic electron-nucleus Hamiltonian, expand around the Born-Oppenheimer equilibrium geometry, and construct an effective action for the electronic and phononic propagators. From the same effective action, we derive both electronic and phononic self-energies in terms of a nonlocal vertex $\\mathcal G^{\\textrm{s}}$ including excitonic effects, which generalizes the usual local interaction vertex $g^{\\textrm{s}}$. When electrons and phonons are well-defined quasiparticles in the screened-exchange approximation and $\\mathcal G^{\\textrm{s}}$ is taken in its static limit, both self-energies reduce to Fermi-golden-rule expressions containing the same $\\mathcal G^{\\textrm{s}}$, thereby ensuring detailed balance. As an application, we compute electronic and phononic linewidths in graphene and illustrate this common-vertex construction. We analyze the competition between the reduced scattering phase space induced by the screened-exchange band structure and the enhancement of the electron-phonon vertex due to excitonic effects, finding that the vertex enhancement can compensate for and overcome the phase-space reduction in both electronic and phononic linewidths.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.23403",
  "author_total": 4,
  "authors": [
    {
      "name": "Alberto Guandalini"
    },
    {
      "name": "Giovanni Caldarelli"
    },
    {
      "name": "Francesco Mauri"
    },
    {
      "name": "Francesco Macheda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/37kgceb9xz1kx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.23403",
  "fulltext_url": null,
  "id": "37kgceb9xz1kx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.23403",
  "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"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7204168053",
  "pdf_url": "https://arxiv.org/pdf/2608.23403",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/37kgceb9xz1kx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2608.23403",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.23403"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "The principle of detailed balance between electrons and phonons in presence of excitonic effects",
  "title_text": "The principle of detailed balance between electrons and phonons in presence of excitonic effects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/37kgceb9xz1kx",
  "venue": "arXiv",
  "versions": []
}