The critical current density shown by a superconductor at the extreme type-IIlimit is predicted to follow an inverse square-root power law with externalmagnetic field if the vortex lattice is weakly pinned by material line defects.It acquires an additional inverse dependence with thickness along the linedirection once pinning of the interstitial vortex lines by material pointdefects is included. Moderate quantitative agreement with the critical currentdensity shown by second-generation wires of high-temperature superconductors inkG magnetic fields is achieved at liquid-nitrogen temperature.
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