Noninteger flux quanta for a spherical superconductor

@article{Yeo1998NonintegerFQ,
  title={Noninteger flux quanta for a spherical superconductor},
  author={Joonhyun Yeo and M. A. Moore},
  journal={Physical Review B},
  year={1998},
  volume={57},
  pages={10785-10789}
}
A thin-film superconductor shaped into a spherical shell at whose center lies the end of long thin solenoid in which there is an integer flux $N{\ensuremath{\Phi}}_{0}$ has been previously extensively studied numerically as a model of a two-dimensional superconductor. The emergent flux from the solenoid produces a radial $B$ field at the superconducting shell and $N$ vortices in the superconducting film. We study here the effects of including a second solenoid (carrying a flux $f)$ which is… 

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