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Magnetic hopfion is three-dimensional (3D) topological soliton with novelspin structure that would enable exotic dynamics. Here we study the currentdriven 3D dynamics of a magnetic hopfion with unit Hopf index in a frustratedmagnet. Attributed to spin Berry phase and symmetry of the hopfion, the phasespace entangles multiple collective coordinates, thus the hopfion exhibits richdynamics including longitudinal motion along the current direction, transversemotion perpendicular to the current direction, rotational motion and dilation.Furthermore, the characteristics of hopfion dynamics is determined by the ratiobetween the non-adiabatic spin transfer torque parameter and the dampingparameter. Such peculiar 3D dynamics of magnetic hopfion could shed light onunderstanding the universal physics of hopfions in different systems and boostthe prosperous development of 3D spintronics.

Three-dimensional dynamics of magnetic hopfion driven by spin transfer torque