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We investigate transverse Josephson current in superconductor/normalmetal/superconductor junctions where the normal metal has Rashba typespin-orbit coupling. It is shown that trans- verse current arises from thespin-orbit coupling in the normal metal. This effect is specific tosuperconducting current and the transverse current vanishes in the normalstate. In addition, this transverse Josephson effect is purely stationary andapplied magnetic field is unnecessary to realize this effect, in contrast tothe Hall effect in the normal state. We also discuss physical interpretation ofthis effect, comparing with the spin Hall effect.

Transverse Josephson effect due to spin-orbit coupling: Generation of transverse current without time-reversal symmetry breaking