Edelstein effect and induced topological phase transition in superconductor hybrids

we study topological phase transitions induced by the Edelstein effect in a one-dimensional spin-orbit-coupled wire in proximity to a noncentrosymmetric metallic superconductor. We showed that the Cooper pair flow in the substrate metallic superconductor, depending on the crystal symmetry of the metal, can be utilized to manipulate the Majorana fermions localized at the boundary of the topological phase in the wire. In a self-consistent calculation, we extended our results to finite temperatures and showed that our simple hybrid structure may be relevant to the coherent braiding of Majorana bound states and to further developing the fabrication of quantum gates in a web of semi-conducting nanowires.