Magnetic control of the kinetic inductance in elements of superconducting electronics

The longitudinal electron transport in a multilayer superconducting structure SF$_1$S$_1$F$_2s$N, where S is a superconductor, F is a ferromagnet, s is a thin superconducting layer, and N is a normal metal, has been theoretically studied. Calculations have shown that the rotation of the magnetization of ferromagnetic layers relative to each other makes it possible to smoothly change the kinetic inductance of the structure by several times. A feature of the electronic state of the structure in the region of system parameters corresponding to its transition from a state with the $0$ stable Josephson phase to a state with the $\pi$ stable phase ($0-\pi$ transition) has been discovered. This feature leads to the decrease in the singlet component of the pairing amplitude and to an increase in the kinetic inductance of the entire structure. The study of the effect of the finite longitudinal current on the charge transport has shown that the destruction of superconductivity in different layers occurs step-by-step, and the dependence of the kinetic inductance $L_k$ on the total transport current $J$ exhibits several plateaus with an almost constant inductance.