A model of flux pinning by grain boundaries in type-II superconductors

Abstract
A relationship between pinning force Fp and grain size D in type‐II superconductors derived on the basis of interaction of fluxoids with dislocations forming the grain‐boundary walls is reported. While confirming approximately the experimentally observed Fp∝1/D relationship, the theory predicts a peak in Fp at a0/D≃0.2, where a0 is the lattice constant of the flux line lattice.