Nonlocal magnetic configuration controlling realized in a triple-quantum-dot Josephson junction

•We focus on a triple-dot Josephson junction with central dot coupled to superconductors.•Supercurrent exhibits phase translations due to the presence of spin and electron correlations.•When side dots are half-occupied, nonlocal spin correlation coincides with supercurrent phase.•We consider this system to be a candidate for controlling the nonlocal magnetic configuration.

We investigate the Josephson effect in a superconductor/triple-quantum-dot/superconductor junction in which the central dot is coupled to the superconductors. It is found that the supercurrent exhibits rich 0–π phase translations due to the interplay between interdot spin and electron correlations. Moreover, when the side dots are half-occupied, the nonlocal spin correlation between them, i.e., ferromagnetic or antiferromagnetic, coincides well with the supercurrent phase. We thus consider such a system to be a promising candidate for controlling the nonlocal magnetic configuration based on the Josephson effect.