{
  "annotation_id": "ddb3156f-e4ef-4885-aa0e-69b235c17677",
  "date_created": "2026-03-02T18:02:50.829000Z",
  "date_modified": "2026-03-02T18:02:50.829000Z",
  "file_hash": "1bacf2615906550036fe404dfbbe446349efc68026598a4daffa5ee06c9984dd",
  "private": false,
  "record": {
    "abstract": "This is an analytic study of the problem of transitions between normal and\nsuperconducting phases for a sample which encloses a magnetic flux. A\npreliminary study of this problem, based on numerical minimization of the free\nenergy for a particular form of the thickness of the sample, was published in\nPhys. Rev. Lett. {\\bf 75}, 320 (1995). For a sample of uniform thickness the\norder parameter is uniform, but even infinitesimal deviations from uniform\nthickness give rise to a singly connected state in which the order parameter\nvanishes at a suitable layer, so that the superconducting part does not enclose\nthe magnetic field. The stability domain of this singly connected state is a\nline segment in the magnetic field-temperature plane, delimited by two critical\npoints. The phase diagram contains several bifurcation lines, which are\nsystematically analyzed.",
    "arxiv_id": "supr-con/9608001",
    "authors": [
      "Jorge Berger",
      "Jacob Rubinstein"
    ],
    "categories": [
      "supr-con",
      "cond-mat.supr-con",
      "quant-ph"
    ],
    "journal_ref": "SIAM J Appl Math {\\bf 58} (1998) 103--121",
    "title": "Topology and Phase Transitions in the Little-Parks Experiment",
    "url": "https://arxiv.org/abs/supr-con/9608001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bed23982-cb5d-49b0-9ee5-25893f4f0fe4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}