Magnetoelectric effect in dirty superconductors with broken mirror symmetry

Superconductivity of materials with broken mirror symmetry [bulk metals whose symmetry group includes the polar axis c and two-dimensional (2D) electron systems with perturbed ``up-down'' symmetry] is considered. The broken mirror symmetry makes possible macroscopic effects which would be forbidden in center-symmetric systems. One of such effects, the magnetoelectric effect (MEE), i.e., the occurrence of a spin polarization M of electrons of a sample when the sample is under dc supercurrent Jₛ, is investigated in the case of impure superconductors. It is shown that impurity scattering does not destroy the effect even in the ``dirty'' limit Tcτ⪡1.