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Diagram showing the trilayer disk structure.
Vortex eigenfrequencies vs. (a) the interdot separation , and (b) the dot aspect ratio for d=1nm and L=40nm. The solid and dashed lines show the eigenfrequencies for as calculated from Eq. (3). In (a), the dotted line corresponds to the eigenfrequency of an isolated dot. The symbols show micromagnetic data for , 750, and 1000 nm.
Trajectory of a vortex core precessing around the remanent equilibrium position for and is shown over (a) 16 ns and (b) 48 ns (one period of the low-frequency mode). The amplitudes and frequencies of the (6 nm and 21 MHz) and (76 nm and 0.51 GHz) oscillations were taken from the micromagnetic simulations for 2R=1000 nm.
Simulation results for and . Volume-averaged magnetization ( component) of disk with for (a) the full disk, and (b) the individual layers; (c) the core position difference oscillates at a high frequency, while (d) the mean core position varies at a much lower frequency (core positions are for ).
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