{
  "abstract": "The magnetic penetration depth, $λ$, is a fundamental parameter of the superconducting state and is commonly determined from precision measurements of the magnetic susceptibility, $χ$, in the Meissner state. However, extracting $λ$ from such measurements requires an accurate treatment of geometry-dependent demagnetization effects, for which analytic results are only available in a limited number of cases. Here we present a finite-element analysis of the magnetic response of three dimensional superconducting spheroids and cylinders with finite penetration depth. By calculating the magnetic moment and susceptibility, $χ(λ)$, over a wide range of aspect ratios, we quantify the shape-dependent Meissner response and extract effective demagnetization factors in the $λ\\rightarrow 0$ limit. For small but finite $λ$, we further determine effective sample dimensions from the initial variation of $χ(λ)$ and propose an improved analytical expression for these. Our results provide a high-precision procedure for determining $λ$ from volume-exclusion based susceptibility measurements and should be directly applicable to the characterization of novel superconducting materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Physical Review B 114.19 (2026): 194507",
  "arxiv": "2610.36133",
  "author_total": 2,
  "authors": [
    {
      "name": "Morgan Grant"
    },
    {
      "name": "Antony Carrington"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93cds04vkmzhj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36133",
  "fulltext_url": null,
  "id": "93cds04vkmzhj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36133",
  "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": "W7224098455",
  "pdf_url": "https://arxiv.org/pdf/2610.36133",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93cds04vkmzhj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36133",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36133"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Determination of the Magnetic Penetration Depth from Finite-Element Susceptibility Calculations of Spheroidal and Cylindrical Superconductors",
  "title_text": "Determination of the Magnetic Penetration Depth from Finite-Element Susceptibility Calculations of Spheroidal and Cylindrical Superconductors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/93cds04vkmzhj",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/rvkn-1sm8",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}