The Josephson current between an s-wave and a spin-triplet superconductor Sr2RuO4 (SRO) is studied theoretically. In spin-singlet/spin-triplet superconductor junctions, there is no Josephson current proportional to sin phi in the absence of the spin-flip scattering near junction interfaces, where phi is a phase difference across junctions. Thus, a dominant term of the Josephson current is proportional to sin 2phi. The spin-orbit scattering at the interfaces gives rise to the Josephson current proportional to cos phi, which is a direct consequence of the chiral paring symmetry in SRO.
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