{
  "abstract": "We develop a microscopic scattering theory of the phase-dependent equilibrium mechanical response of a ballistic superconductor-graphene-superconductor Josephson junction. The calculation is based on an energy-dependent Dirac scattering matrix embedded in a normalized Matsubara determinant, so the reported force correction contains the complete Bogoliubov-de Gennes spectrum of the stated ideal model. At charge neutrality the full determinant approaches a closed-form evanescent-mode result proportional to $ΔW/L^2$, reaching $2\\ln 2\\,ΔW/(πL^2)$ at phase difference $π$ in the zero-temperature short-junction limit. Gate doping produces propagating channels and Fabry-Pérot structure, causing large oscillations and sign reversals of the phase-dependent force correction $δF=F(ϕ)-F(0)$. We distinguish the interband-to-intraband Andreev crossover, controlled by $|μ|/Δ$, from the evanescent-to-propagating crossover, controlled by $|μ|L/(\\hbar v_F)$. Exact real-energy subgap poles obtained from the same energy-dependent scattering matrix are used to diagnose specular/interband and retro/intraband character; these labels are not treated as separately measurable thermodynamic forces in the mixed regime. We also quantify the difference between the complete determinant result and the frozen-scattering short-junction approximation without identifying that difference with a pure continuum force. The resulting gate- and phase-dependent mechanical signal provides a Dirac-material extension of earlier superconductivity-induced mechanical-force proposals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30438",
  "author_total": 1,
  "authors": [
    {
      "name": "Shahrukh Salim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6w9qy6dad6tg5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30438",
  "fulltext_url": null,
  "id": "6w9qy6dad6tg5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30438",
  "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.other"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7204916287",
  "pdf_url": "https://arxiv.org/pdf/2608.30438",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6w9qy6dad6tg5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.30438",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30438"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Evanescent-mode Casimir-Josephson force and gate-controlled resonances in ballistic graphene Josephson junctions",
  "title_text": "Evanescent-mode Casimir-Josephson force and gate-controlled resonances in ballistic graphene Josephson junctions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/6w9qy6dad6tg5",
  "venue": "arXiv",
  "versions": []
}