Abstract
It has been proved that, in the large channel number limit, the Josephson current of short weak links derived with a quantum mechanical scattering theory is analytically equal to the Josephson current derived with a classical transport equation in the dirty limit. It means that the former expression of the Josephson current can explain temperature dependence of the maximum critical current of short weak links in the dirty limit as well as in the clean and tunnel limits. The proved generality of the expression of the Josephson current helped us find a reproducible method to reduce telegraph noise in devices of short weak links and get a 130-channel dc-SQUID system. >
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