Title: Magnon Landau-Zener tunnelling and spin current generation by electric field

Abstract: To control the magnon transport in magnetic systems is of great interest in magnonics. Due to the feasibility of electric field, how to generate and manipulate magnon with pure electrical method is one of the most desired goals. Here we propose that the magnon spin current is generated by applying time-dependent electric field, where the coupling between the magnon and electric field is invoked via Aharonov-Casher effect. In particular, the magnon spin current is dominated by electric field component which perpendicular to the magnetization direction. We apply our theory to 1D ferromagnetic SSH model and show that the generated magnon spin current is closely related to the band geometry. Our findings expands the horizons of magnonics and electric-control-magnon mechanisms.