Observation of flux trapping threshold in narrow superconducting thin films

Abstract
Narrow superconducting thin films cooled in a perpendicular low magnetic field (B⊥) are observed to trap magnetic flux at densities much less than the ρi0 = B⊥ /φi0 observed for superconducting films of large dimensions. Significant flux trapping does not occur until a threshold field B0⊥ is reached. B0⊥ increases with decreasing linewidth and with increasing distance from a superconducting ground plane.