Closed Abrikosov vortices in type-II superconductors
Kozlov V. A., Samokhvalov A. V.
The magnetic field distribution, the magnetic flux, and the free energy of a closed toroidal vortex in a type-II superconductor are calculated in the London approximation. The thermodynamic condition for the excitation of such a vortex by a moving charge contains the fine-structure constant as a determining parameter.