Controlling topological superconductivity by magnetization dynamics

We study theoretically a chain of precessing classical magnetic impurities in an s-wave superconductor. Utilizing a rotating wave description, we derive an effective Hamiltonian that describes the emergent Shiba band. We find that this Hamiltonian shows nontrivial topological properties, and we obtain the corresponding topological phase diagrams both numerically and analytically. We show that changing precession frequency offers control over topological phase transitions and the emergence of Majorana bound states. We propose driving the magnetic impurities or magnetic texture into precession by means of spin-transfer torque in a spin Hall setup, and manipulate it using spin superfluidity in the case of planar magnetic order.