Abstract
The helicity-orbital coupling is an intriguing feature of magnetic skyrmions in frustrated magnets. Here we explore the skyrmion dynamics in a frustrated magnet based on the J1-J2-J3 classical Heisenberg model explicitly by including the dipole-dipole interaction. The skyrmion energy acquires a helicity dependence due to the dipole-dipole interaction, resulting in the current-induced translational motion with a fixed helicity. The lowest-energy states are the degenerate Bloch-type states, which can be used for building the binary memory. By increasing the driving current, the helicity locking-unlocking transition occurs, where the translational motion changes to the rotational motion. Furthermore, we demonstrate that two skyrmions can spontaneously form a bound state. The separation of the bound state forced by a driving current is also studied. In addition, we show the annihilation of a pair of skyrmion and antiskyrmion. Our results reveal the distinctive frustrated skyrmions may enable viable applications in topological magnetism.
Highlights
The helicity-orbital coupling is an intriguing feature of magnetic skyrmions in frustrated magnets
Skyrmions in frustrated magnets are stabilized by the quartic differential term, which is a reminiscence of the original mechanism of the dynamical stabilization proposed by Skyrme[50]
We explore skyrmions and antiskyrmions in a two-dimensional (2D) frustrated ferromagnetic system with competing exchange interactions based on the J1-J2-J3 classical Heisenberg model on a simple square lattice[41]
Summary
The helicity-orbital coupling is an intriguing feature of magnetic skyrmions in frustrated magnets. We explore the skyrmion dynamics in a frustrated magnet based on the J1-J2-J3 classical Heisenberg model explicitly by including the dipole-dipole interaction. The magnetic skyrmion is an exotic and versatile topological object in condensed matter physics[1,2,3,4,5], which promises novel applications in electronic and spintronic devices[6,7,8,9]. It is found that the translational motion of a skyrmion is coupled with its helicity in the frustrated magnet, resulting in the rotational skyrmion motion[41] These novel properties due to the helicity-orbital coupling are lacking in the conventional ferromagnetic system, where the skyrmion is stabilized by the Dzyaloshinskii-Moriya interaction and the helicity is locked. We show that it is possible to design a binary memory with the use of the binary helicity state of the Bloch-type skyrmion
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