Field-direction Dependence of Majorana-mediated Spin Transport

We study the field-direction dependence of the Majorana-mediated spin transport in the Kitaev clusters with zigzag and armchair edges, applying a static magnetic field to one of the edges and a magnetic pulsed field to the other edges. By means of the exact diagonalization method, we calculate the time-evolution of the spin moments in both edge regions to clarify how the directions of two fields and shape of the edges affect the Majorana-mediated spin transport.