  When superconductivity couples with noncollinear spin textures, rich physics
arises; for instance, singlet Cooper pairs can be converted to triplet pairs,
and topological superconductors can be realized. For their applications, the
controllability of noncollinear magnetism is a crucial issue. Here, we propose
that a supercurrent can induce and control noncollinear magnetic orders in a
correlated metal on top of a singlet superconductor. We show that the magnetic
instability in the correlated metal is enhanced by the proximity effect of
supercurrents, which leads to phase transitions from a paramagnetic state to
noncollinear magnetic phases with helical or vortexlike spin textures.
Furthermore, these magnetic orders can be switched by the direction of the
supercurrent. We also discuss the effect of the Rashba spin-orbit coupling and
the experimental realization.
