Ya. Genenko, HELICAL MAGNETIC VORTEX IN A TYPE-II SUPERCONDUCTOR - AN EXACT SOLUTION OF AN EDGE BARRIER PROBLEM, Physica. C, Superconductivity, 235, 1994, pp. 2709-2710
An exact solution of problem of magnetic helical vortex entry into a l
ong superconducting (SC) cylinder through a surface Bean-Livingston ba
rrier is found in London approximation. Gibbs energy of system Is calc
ulated when transport current and longitudinal magnetic field are appl
ied. A critical current of spontaneous vortex penetration into SC is f
ound and compared to the critical current of left-handed helical insta
bility.