Long-range triplet Josephson current modulated by the interface magnetization texture

We investigate the Josephson coupling between two s-wave superconductors separated by the ferromagnetic trilayers with noncollinear magnetization. We find that the dependence of long-range triplet critical current on the strength of exchange field and thickness of the interface layers shows an oscillatory behavior, when the interface magnetizations are orthogonal to the central magnetization. This feature of the critical current is induced by the spatial oscillations of the triplet state $|\!\uparrow\downarrow\rangle+|\!\downarrow\uparrow\rangle$ in the interface layer. In addition, when the misalignment angle between interface magnetization and central ferromagnet increases from 0 to $\pi/2$ , the critical current exhibits a nonmonotonic behavior under the condition that the original state of the junction with parallel magnetizations is the π-state