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A Consistent Description of Scaling Law for Flux Pinning in \rm Nb_3\rm Sn Strands Based on the Kramer Model

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2 Author(s)
S. Oh ; Korea Basic Sci. Inst., Taejeon ; K. Kim

There are a lot of experimental reports on the scaling of flux pinning in the form of F=Fmb1/2(1-b)2, with b=B/Bc2. The temperature dependence of Fm is approximately proportional to Bc2 5/2, whereas the strain dependence of Fm is reported to be proportional to the upper critical field Bc2. In this work, we re-analyze our previous data with the Kramer model including the pin-breaking dynamic pinning force (Fp) for a low field region. It is shown that the extrapolated upper critical field Bc2 *, strongly depend on the ratio between the mean of the parameter Kp for Fp (<Kp>) and the parameter Ks for the flux line lattice shearing pinning force Fs. It is found that the strain dependence of Fm at 4.2K is approximately proportional to (Bc2 *)1.5. We further compare the data with the prediction of our recent scaling theory based on Eliashberg theory of strongly coupled superconductors. It is shown that the strain dependence of Fm at 4.2K is proportional to Bc2 5/2kappa-2, consistent with the temperature dependence of Fm. Moreover, this model agrees reasonably well even with the data in a high compressive strain region (< -0.8%)

Published in:

IEEE Transactions on Applied Superconductivity  (Volume:16 ,  Issue: 2 )