Isothermal reentrant effect in a mesoscopic cylindrical structure of a superconductor coated with a normal metal layer

@article{Gogadze2009IsothermalRE,
  title={Isothermal reentrant effect in a mesoscopic cylindrical structure of a superconductor coated with a normal metal layer},
  author={Gurami Alexandrov Gogadze and Sergiy Dolya},
  journal={Physical Review B},
  year={2009},
  volume={80},
  pages={054509}
}
The coherent phenomena in mesoscopic cylindrical normal metal $(N)$\char22{}superconductor $(S)$ structures have been investigated theoretically. The magnetic moment (persistent current) of such a structure has been calculated numerically and (approximately) analytically. It is shown that the current in the $N$ layer corresponding to the free-energy minimum is always diamagnetic. As the field increases, the magnetic moment (current) exhibits jumps at certain values of the trapped magnetic flux… 
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TLDR
The hysteretic behavior predicted from a GinZburg-Landau approach and observed in experiments is obtained within the quasiclassical theory and shown to exist also outside the Ginzburg- Landau region.
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