Skyrmions and Antiskyrmions in a Frustrated $J_1$-$J_2$-$J_3$ Ferromagnetic Film: Current-induced Helicity Locking-Unlocking Transition

Xichao Zhang, Jing Xia, Yan Zhou, Xiaoxi Liu, Motohiko Ezawa

Published 2017-03-22Version 1

An intriguing feature of the magnetic skyrmion in a frustrated magnetic system is its helicity-orbital coupling. When the magnetic dipole-dipole interaction (DDI) is neglected, a skyrmion can show a current-induced rotational motion together with a helicity rotation since the energy is independent of the helicity. Here, we explore the skyrmion dynamics in a frustrated magnetic system based on the $J_{1}$-$J_{2}$-$J_{3}$ classical Heisenberg model explicitly by including the DDI. The skyrmion energy acquires a helicity dependence due to the DDI, resulting in a current-induced translational motion with a fixed helicity. The lowest energy states are the degenerate Bloch-type states with two distinguishable helicities, which could be used as information carriers in the binary memory. The skyrmion helicity can be identified by applying a small driving current as the direction of the translational motion is dependent of the helicity. It is found that by increasing the intensity of the driving current, the helicity locking-unlocking transition occurs, where the translational skyrmion motion with a fixed helicity changes to a rotational skyrmion motion together with a helicity rotation. This new aspect of the helicity-orbital coupling allows us to realize the flip of the helicity between two stable Bloch-type states by applying a strong current pulse, which could act as a switching process in the binary memory. Furthermore, we demonstrate that two skyrmions or two antiskyrmions can spontaneously form a bound state. We also show the separation of the bound state forced by a driving current. In addition, we show a pair annihilation of a skyrmion and an antiskyrmion accompanied with the emission of a propagating spin wave. Our results indicate the distinctive nature of skyrmions in frustrated magnetic materials, which may lead to viable applications of topological spintronics.