Fig. 2
(a) Oscillatory motion of a magnetic hopfion subjected to spin-transfer torque and hopfion-boundary interaction. Three cases are shown, corresponding to Gilbert damping factors of α = 0, 0.01, and 0.05 represented in the left, middle, and right columns, respectively. (b) Time evolution of the mz profile along the x-direction at y = 32 nm and z = 8 nm, for the same damping factors (α = 0, 0.01, and 0.05). A single time axis and color legend are shared across all three panels for clarity and conciseness, as the time range is identical for all cases.
