“…Heterostructures on the macro or nano scales involving type-II superconductor and ferromagnet elements show great potential for improving superconductor properties such as critical currents and critical fields, and therefore have been extensively studied both experimentally and theoretically during the past few years 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27 . If hard magnets are used, the interaction of the magnetic vortices of the superconductor with the magnetic moments of the ferromagnet may lead to an enhancement of the pinning of the vortices 3,4,5,6 or to an increase of the critical fields 7,15 .…”