Incoprea Theory
Vol. XIII · 29 subfields

Theory 08/Superconductivity

Pinning Depends on Defect Spacing

The claim

The maximum pinning force is set by the ratio of vortex spacing to defect spacing, peaking when the two match rather than at maximum defect density.

01The mechanism

Pinning is efficient when each vortex sits on a defect; too few defects leave vortices free and too many leave the vortices too close to be individually pinned.

02Predictions

  • P1Pinning should peak at matched spacing.
  • P2Defect density alone should mispredict.

03Refutation

Pinning increasing monotonically with defect density would remove the matching condition.