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PreprintCC BY 4.0arXiv

Universal Scaling of the Little-Parks Oscillation Amplitude

  • Yuelin Shen
  • Zixuan Huang
  • Xiaoying Xu
  • Wei Qin
  • Yufan Li
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Abstract

The Little-Parks effect played a pivotal role in establishing fluxoid quantization in doubly connected superconductors and providing early evidence for electron pairing, central to BCS theory. More recently, it has emerged as an important phase-sensitive probe of superconducting order. Yet the amplitude of the Little-Parks oscillation has never been fully understood theoretically, as the conventional mean-field Ginzburg-Landau description does not account for its pronounced temperature dependence. Here, we develop a universal theoretical framework incorporating thermal fluctuations in reduced-dimensional superconducting rings. By analyzing Little-Parks measurements across multiple superconductors, we show that the resulting scaling quantitatively captures the temperature-dependent oscillation amplitudes over a broad range of materials and device geometries, resolving the long-standing discrepancy between theory and experiment.

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Cite

BibTeXRIS
BibTeX
@misc{shen2026universal,
  title = {{Universal Scaling of the Little-Parks Oscillation Amplitude}},
  author = {Yuelin Shen and Zixuan Huang and Xiaoying Xu and Wei Qin and Yufan Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34318},
  eprint = {2610.34318},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34318},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Universal Scaling of the Little-Parks Oscillation Amplitude
AU  - Yuelin Shen
AU  - Zixuan Huang
AU  - Xiaoying Xu
AU  - Wei Qin
AU  - Yufan Li
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34318
UR  - https://arxiv.org/abs/2610.34318
AB  - The Little-Parks effect played a pivotal role in establishing fluxoid quantization in doubly connected superconductors and providing early evidence for electron pairing, central to BCS theory. More recently, it has emerged as an important phase-sensitive probe of superconducting order. Yet the amplitude of the Little-Parks oscillation has never been fully understood theoretically, as the conventional mean-field Ginzburg-Landau description does not account for its pronounced temperature dependence. Here, we develop a universal theoretical framework incorporating thermal fluctuations in reduced-dimensional superconducting rings. By analyzing Little-Parks measurements across multiple superconductors, we show that the resulting scaling quantitatively captures the temperature-dependent oscillation amplitudes over a broad range of materials and device geometries, resolving the long-standing discrepancy between theory and experiment.
ER  -