Fluxoid quantization in geometrically coupled superconducting loops

Abstract

Superconducting networks composed of coupled loops with different areas exhibit a rich spectrum of macroscopic fluxoid quantum states. We analyze networks consisting of two types of loops and show that the ratio, R , of their areas, expressed as a reduced rational fraction, governs the system’s periodic response, the fluxoid occupation of both large and small loops, and the number of distinct fluxoid states within a single period. Furthermore, we identify a condition on the fraction R under which the coupled loops exchange fluxoids at a specific magnetic field. Numerical simulations, based on the “J ² ” model, corroborate these results and reveal how geometrical coupling can produce complex fluxoid configurations, offering potential applications in multistate superconducting memory and flux-based devices.

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BibTeX RIS

BibTeX

@article{shaulov2026fluxoid,
  title = {{Fluxoid quantization in geometrically coupled superconducting loops}},
  author = {A. Shaulov and Y. Yeshurun},
  journal = {Scientific Reports},
  year = {2026},
  month = sep,
  doi = {10.1038/s41598-026-73434-6},
  url = {https://www.nature.com/articles/s41598-026-73434-6},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Fluxoid quantization in geometrically coupled superconducting loops
AU  - A. Shaulov
AU  - Y. Yeshurun
PY  - 2026
DA  - 2026/09/30
JO  - Scientific Reports
DO  - 10.1038/s41598-026-73434-6
UR  - https://www.nature.com/articles/s41598-026-73434-6
AB  - Superconducting networks composed of coupled loops with different areas exhibit a rich spectrum of macroscopic fluxoid quantum states. We analyze networks consisting of two types of loops and show that the ratio, R , of their areas, expressed as a reduced rational fraction, governs the system’s periodic response, the fluxoid occupation of both large and small loops, and the number of distinct fluxoid states within a single period. Furthermore, we identify a condition on the fraction R under which the coupled loops exchange fluxoids at a specific magnetic field. Numerical simulations, based on the “J ² ” model, corroborate these results and reveal how geometrical coupling can produce complex fluxoid configurations, offering potential applications in multistate superconducting memory and flux-based devices.
SN  - 2045-2322
ER  -

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