Giant surface Edelstein effect in $d$-wave superconductors

Abstract: Edelstein effect is useful for electric control of magnetic moment. However, Joule heating created by a dissipative current is harmful for its practical applications. In this paper, we investigate two-dimensional noncentrosymmetric superconductors (NCSs) with either $s$-wave or $d$-wave symmetry, and demonstrate that a surface Edelstein effect is significantly enhanced in $d$-wave NCSs. The origin of the enhancement is attributed to surface Majorana states characteristic of gapless spin-singlet superconductors. In the view of superconducting spintronics, this result would give a route to magnetic domain switching by dissipationless supercurrent. We discuss a possible experimental observation in cuprate superconductor heterostructures and heavy fermion superlattices.