Spin Josephson effect in spintronic nanostructures
The problem of spin current across a ferromagnetic/normal metal/ferromagnetic junction is formulated. It is shown that the spin current is controlled by the phase difference across the junction. Under zero bias, Jz is time-independent and Jz is sinusoidal function, where Jz is the Sz current along z -direction. Under a dc bias, Jz and |Jz + iJz| are sinusoidal and the phase of the latter is in front by π.