Mesoscopic fluctuations of the Josephson current of an S-I-S junction with weak structural disorder

It is shown that in the range of tunneling resonance energies of an S-I-S (superconductor-insulator-superconductor) junction with weak (low impurity concentrations) structural disorder in the I-layer, the average critical current and the magnitude of its mesoscopic fluctuations are determined by tunneling along quantum resonance-percolation trajectories. For a "small" junction situated in a parallel magnetic field at temperature T = 0 conditions for smallness of the mesoscopic fluctuations are obtained and an estimate is made of the range of parameters in which the resonance mechanism for supercurrent propagation predominates. (C) 2000 MAIK "Nauka/Interperiodica".