Hidden skyrmion on the spin direction of the Majorana zero mode

The spin information of Majorana zero mode (MZM) has important application value in distinguishing MZM from other zero energy states. We study the spin direction of the Majorana zero mode (MZM) localized in a vortex state in a topological superconductor. We find that the topological number of the magnetic structure of the MZM is zero. However, with an increase in the vortex radius, the magnetic structure of the electron oscillates between the antiskyrmion and skyrmion (starting with the antiskyrmion), while that of the hole oscillates between the skyrmion and antiskyrmion (starting with the skyrmion). The total magnetic structure of the electron is a antiskyrmion (the topological number is -1) while that of the hole is a skyrmion (the topological number is 1). We hope these new features provide more characters for detection and regulation of MZM.