Josephson effect in noncentrosymmetric superconductor junctions

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Abstract
We discuss the Josephson current between two noncentrosymmetric superconductors. The coexistence of superconducting order parameters between the spin-singlet $\Delta${}S and the helical p-wave spin-triplet $\Delta${}T enriches a variety of low-temperature behavior of the Josephson current depending on their relative amplitudes. We will show that characteristic behaviors of the Josephson current for $\Delta${}S>$\Delta${}T are clearly different from those for $\Delta${}S<$\Delta${}T. The topologically protected zero-energysurface bound states are responsible for the clear difference. We conclude that the Josephson current reflects well the character of the topological surface states and the pairing symmetry of noncentrosymmetric superconductors.
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