{
  "abstract": "Whole-sample and mutual-inductance part-sample measurements of the linear magnetic susceptibility, $χ$, of superconducting films are routinely used to obtain the London penetration depth, $λ(T)$, assuming uniform superconductivity. However, spatially resolved probes show that many films of current interest are inhomogeneous on micrometer scales. Here we ask whether a distribution of local transition temperatures in a fully gapped film can produce an apparent line-nodal, $T$-linear $λ(T)$. The film is modeled as a random Voronoi mosaic of domains with $T_c$ distributed between $T_{c,\\min}$ and $T_{c,\\max}$ with s-wave (also d-wave, for comparison) London response inside each domain. We show that detectable screening appears only below the percolation temperature, $T_p$, and the transition broadens with the spread of $T_c$. For s-wave domains, $λ(T)$ remains activated for any $T_{c,\\min}>0$. Only for $T_{c,\\min}=0$ does it become a power law, $Δλ\\propto T^n$ with $n\\approx1.7$, but then the onset of screening drops to $T_p=T_{c,\\max}/2$. Weighting the $T_{c}$ distribution towards $T_c\\to0$ (more low-$T_{c}$ domains) can bring $n$ closer to 1 ($n\\approx1.2$), but simultaneously pushes the apparent transition, $T_p$, more than an order of magnitude below $T_{c,\\max}$. For d-wave domains, the linear term survives, and its relative slope is enhanced almost fourfold for $T_{c,\\min}=0$. Hence, a $T$-linear $λ(T)$ measured in a film with screening onset within a factor of a few of $T_{c,\\max}$ by whole-sample or mutual-inductance part-sample measurements cannot originate from $T_c$ mosaicity in a fully gapped superconductor.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34796",
  "author_total": 1,
  "authors": [
    {
      "name": "Ruslan Prozorov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2bb4f014k7na.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34796",
  "fulltext_url": null,
  "id": "f2bb4f014k7na",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34796",
  "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.supr-con"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7223804568",
  "pdf_url": "https://arxiv.org/pdf/2610.34796",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f2bb4f014k7na.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34796",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34796"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Magnetic susceptibility and superfluid density of inhomogeneous superconducting films: the Tc-mosaic model",
  "title_text": "Magnetic susceptibility and superfluid density of inhomogeneous superconducting films: the Tc-mosaic model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/f2bb4f014k7na",
  "venue": "arXiv",
  "versions": []
}