Motion and teleportation of polar bubbles in ultra-thin ferroelectrics

Polar bubble domains are complex topological defects akin to magnetic skyrmions that can spontaneously form in ferroelectric thin films and superlattices. They can be deterministically written and deleted and exhibit a set of properties, such as sub-10 nm radius and room-temperature stability, that are highly attractive for dense data storage and reconfigurable nano-electronics technologies. However, possibilities of controlled motion of electric bubble skyrmions, a critical technology requirement currently remains missing. Here we present atomistic simulations that demonstrate how external electric-field perturbations can induce two types of motion of bubble skyrmions in low-dimensional tetragonal PbZr${}_{0.4}$Ti${}_{0.6}$O${}_3$ systems under residual depolarizing field. Specifically, we show that, depending on the spatial profile and magnitude of the external field, bubble skyrmions can exhibit either a continuous motion driven by the external electric field gradient or a discontinuous, teleportation-like, skyrmion domain transfer. These findings provide the first analysis of dynamics and controlled motion of polar skyrmions that are essential for functionalization of these particle-like domain structures.