Critical current of a Josephson junction in layered superconductors
Mikhail V. Fistul’, Gabriele F. Giuliani
DOI 10.1103/PhysRevB.47.11341 · Physical Review B
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Abstract
We present a microscopic theory for the temperature dependence of the critical Josephson current density jc(T) flowing through an insulating barrier situated between two layered superconductors. Our theory is quite general and allows us to address the question of the dependence of jc(T) on the bandwidth for electronic motion along the direction perpendicular to the barrier. In the limit in which kBTc is much smaller than this quantity the standard relationship due to Ambegaokar and Baratoff is recovered. In the opposite limit, however, the critical current is substantially modified. We show in particular that in this case jc(T) is generally quenched. The significance of our results as well as their relevance with respect to the experimental situation in the high-Tc cuprates is discussed.
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