Disordered Josephson Junctions of d-Wave Superconductors

Details Disordered Josephson Junctions of d-Wave Superconductors Disordered Josephson Junctions of d-Wave Superconductors

2003-10-10

arxiv.org/abs/cond-mat/0310250v1

Phys. Rev. B 68, 174524 (2003)

Physics

Condensed Matter

Superconductivity

10 pages, 12 figures; accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.68.174524

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 $\sin(2\phi)$-like current-phase relation, whereas for contacts on the scale of the coherence length or smaller the usual $\sin\phi$-like behavior is observed. Our results compare well with recent experimental observations.

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