{
  "abstract": "We formulate a non-local, field-theoretic description of phase fluctuations and topological transitions in two-dimensional (2D) superconductors by generalizing the local only-phase Popov action to a framework utilizing non-local fractional operators. By replacing the standard spatial Laplacian with the Riesz fractional Laplacian $-(-\\nabla^2)^{α/2}$ (where $1<α<2$), we prove that the vortex-antivortex interaction transitions from logarithmic confinement to a stronger power-law confinement of the form $V(r)\\propto r^{2-α}$. Through a generalized Kosterlitz-Thouless energetic-entropic analysis, we demonstrate that this non-local confinement strictly suppresses thermal vortex proliferation. Because the non-local operator safely places the system outside the strict domain of validity of the Mermin-Wagner restriction, this power-law confinement natively stabilizes true long-range order at finite temperatures. Finally, by constructing a gauge-invariant fractional action, we formulate a fractional London equation. This approach yields a real-space power-law kernel that maps directly onto the anomalous Pippard limit of superconductors with long coherence lengths, providing a unified phenomenologically motivated framework for non-local electrodynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05447",
  "author_total": 2,
  "authors": [
    {
      "name": "Iogann Tolbatov"
    },
    {
      "name": "Luca Salasnich"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8g7cdvcvt6tjm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05447",
  "fulltext_url": null,
  "id": "8g7cdvcvt6tjm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05447",
  "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.supr-con"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7212033531",
  "pdf_url": "https://arxiv.org/pdf/2609.05447",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8g7cdvcvt6tjm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05447",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05447"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Superdiffusive two-dimensional superconductors",
  "title_text": "Superdiffusive two-dimensional superconductors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/8g7cdvcvt6tjm",
  "venue": "arXiv",
  "versions": []
}