Dynamics of magnetostatically coupled vortices in magnetic nanodisks

The dynamics of magnetostatically coupled vortices in two nanodisks is here investigated analytically and numerically. The rigid vortex model is employed to calculate the magnetostatic interaction between the nanodisks. We use Thiele's equation where collective degrees of freedom describe the motion of each vortex core. We find that there are eigenfrequencies of circular vortex core motion around the disk center, which depend on the core polarizations of the vortices. We also obtain the energy absorption rate of the system when subjected to an oscillating in-plane magnetic field. Finally, we can draw an analogy between this vortex system and a van der Waals diatomic molecule.