In this paper we consider the Josephson coupling between a conventional and an unconventional superconductor through a constriction. It is demonstrated that a weak link is very different from a tunnel junction. In particular, in an orientation where the coupling in a tunnel junction vanishes because of symmetry, the Josephson current in the case of a weak link can nevertheless be finite, albeit with the distinctive characteristics of(i) a current phase relationship with a period of 2π/n, (ii) the critical current near but below the transition temperature T 1 of the lower transition temperature superconductor is proportional to (1−(T/T 1))n/2, where n is an integer determined by the symmetry.
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Yip, S. Weak link between conventional and unconventional superconductors. J Low Temp Phys 91, 203–218 (1993). https://doi.org/10.1007/BF00120849
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DOI: https://doi.org/10.1007/BF00120849