Disordered Josephson junctions of d-wave superconductors

Thomas Lück; Peter Schwab; Ulrich Eckern; A. Shelankov

doi:10.1103/PhysRevB.68.174524

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Disordered Josephson junctions of d-wave superconductors

Thomas Lück, Peter Schwab, Ulrich Eckern, A. Shelankov

DOI 10.1103/PhysRevB.68.174524 · Physical Review B

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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° asymmetric junctions. For mirror junctions the temperature dependence of the critical current is nonmonotonic in the limit of low roughness, but monotonic for very rough interfaces. For 45° 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.