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Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers

Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers

Based on the Bogoliubov--de Gennes equations, we investigate the transport of the Josephson current in a $\mathrm{S}/{f}_{L}\ensuremath{-}{\mathrm{F}}_{1}\ensuremath{-}{f}_{C}\ensuremath{-}{\mathrm{F}}_{2}\ensuremath{-}{f}_{R}/\mathrm{S}$ junction, where S and ${\mathrm{F}}_{1,2}$ are superconductors and ferromagnets, and ${f}_{L,C,R}$ are the left, central, and right spin-active interfaces. These interfaces have noncollinear magnetizations, and the azimuthal angles of the magnetizations at the …