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We study the supercurrent in a superconductor-ferromagnet-superconductorheterostructure containing a noncollinear magnetic domain in the ferromagneticregion. It is demonstrated that the magnetic domain can lead to a spin-flipprocess, which can reverse the spin orientations of the singlet Cooper pairpropagating through the magnetic domain region. If the ferromagnetic layers onboth sides of magnetic domain have the same features, the long-range proximityeffect will take place. That is because the singlet Cooper pair will create anexact phase-cancellation effect and gets an additional $\pi$ phase shift as itpasses through the entire ferromagnetic region. Then the equal spin tripletpair only exists in the magnetic domain region and can not diffuse into theother two ferromagnetic layers. So the supercurrent mostly arises from thesinglet Cooper pairs and the equal spin triplet pairs are not involved. Thisbehavior is quite distinct from the common knowledge that long-rangesupercurrent induced by inhomogeneous ferromagnetism stems from the equal spintriplet pairs. The result we presented here provides a new way for generatingthe long-range supercurrent.

Peculiar long-range supercurrent in SFS junction containing a noncollinear magnetic domain in the ferromagnetic region