Abstract
Mesoscopic fluctuations of the DC Josephson current in a dirty SNS junction (S: superconductor, N: normal conductor) are studied numerically in the presence of barrier potentials at the NS interfaces, which reduce the Andreev reflection probability. The results show that the critical-current fluctuations in the long-junction limit are suppressed as the Andreev reflection probability decreases while those in the short-junction limit are relatively insensitive to reductions in the Andreev reflection probability. Therefore, the effect of incomplete Andreev reflection is significant in the long-junction limit. We show that the quantitative difference between our previous theory and the experimental results of Takayanagi et al. is well explained by taking the effect of incomplete Andreev reflection into account.
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