Interaction law of 2D localized precession states

A theoretical study of the interaction of localized precession states on an easy-plane ferromagnetic layer submitted to a magnetic field that combines a constant and an oscillating part is reported. Within the framework the Landau-Lifshitz-Gilbert equation, we perform a comparison of analytical studies and micromagnetic simulations. Close to the parametric resonance, the parametrically driven damped nonlinear Schrödinger equation models this system. By means of this amplitude equation we are able to characterize the localized precession states and their pair interaction law. Numerically, we have a good agreement with the pair interaction law.