Majorana zero modes and the transport behavior in ferromagnetic superconducting nanowires with precessing magnetization

Alternative candidate platforms and the more convincing probable transport signatures are still in high demand in the search for the Majorana zero modes. 1D ferromagnetic insulator-semiconductor-superconductor (FI-SM-SC) hybrid nanowires, where the customarily required external magnetic field is replaced via the flexible proximitized magnetization, is one of these possible interesting hybrid structures. Here, utilizing the scattering matrix formalism, we study the tunneling behavior, including the electronic pumping caused by the precessing magnetization in the FI-SM-SC hybrid nanowire. Specifically, we investigate the effects of several typical inhomogeneities in the electrochemical potential possible for the hybrid system, including a smooth tunneling barrier, quantum dots, global disorders, etc.

We show an apparent correspondence between the conductance peak island and the pumped spin/charge in 2D parameter space, either in the trivial quasi-Majorana or the bonafide Majorana regime. Such a correspondence, though robustly survives under various inhomogeneities to some extent, is not friendly for excluding the confusing quasi Majorana in practice. However, the evident sign-reversal signature along the “phase boundary,” being sensitive against tunneling barrier height, and also the distinct signatures of the conductance island in the disordered regime, etc., for the electronic pumping in the quasi-Majorana regime is expected to be very important in probing the Majorana physics in FI-SM-SC with magnetization precession.