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Disordered Josephson Junctions of d-Wave Superconductors

T. Lueck·P. Schwab·U. Eckern·A. Shelankov
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Abstract

We study the Josephson effect between weakly coupled d-wave superconductors within the quasiclassical theory, in particular, the influence of interface roughness on the current-phase relation and the critical current of mirror junctions and $45^\circ$ asymmetric junctions. For mirror junctions the temperature dependence of the critical current is non-monotonic in the limit of low roughness, but monotonic for very rough interfaces. For $45^\circ$ asymmetric junctions with a linear dimension much larger than the superconducting coherence length we find a $\sin(2ϕ)$-like current-phase relation, whereas for contacts on the scale of the coherence length or smaller the usual $\sinϕ$-like behavior is observed. Our results compare well with recent experimental observations.

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T. Lueck, P. Schwab, U. Eckern, A. Shelankov. 2003-10-10. Disordered Josephson Junctions of d-Wave Superconductors. https://doi.org/10.1103/physrevb.68.174524

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