Modelling Nanomagnet Vertex Dynamics Through Coulomb Charges

We investigate the magnetization dynamics in nanomagnet vertices often foundin artificial spin ices. Our analysis involves creating a simplified model thatdepicts edge magnetization using magnetic charges. We utilize the model toexplore the energy landscape, its associated curvatures, and the fundamentalmodes. Our study uncovers specific magnonic regimes and transitions betweenmagnetization states, marked by zero-modes, which can be understood within theframework of Landau theory. To verify our model, we compare it withmicromagnetic simulations, demonstrating a noteworthy agreement.