Theory of frozen flux in a narrow uniform superconducting strip after cooling in a small magnetic field (opens in new tab)

We analyze residual frozen flux in a long narrow superconducting strip cooled through its transition temperature $T_{c}$ in a small perpendicular magnetic field. This problem is relevant for the issue of trapped magnetic flux in superconducting electronic devices. During cooling, the low-temperature vortex configuration is formed at temperatures very close to $T_{c}$, where the flux density is determined by dynamic balance between the thermally-...