  The magnetoelectric effect (or Edelstein effect) in noncentrosymmetric
superconductors states that a supercurrent can induce spin magnetization. This
is an intriguing phenomenon which has potential applications in superconducting
spintronic devices. However, the original Edelstein effect only applies to
superconductors with polar point group symmetry. In recent years, many new
noncentrosymmetric superconductors have been discovered, such as
superconductors with chiral lattice symmetry and superconducting transition
metal dichalcogenides with various lattice structures. In this Rapid
Communication, we provide a general framework to describe the
supercurrent-induced magnetization in these recently discovered superconductors
with gyrotropic point groups.
