Topological phase transition and spin-wave signature of meron-like states in nanorings with anisotropic Dzyaloshinskii-Moriya interaction

The static and dynamic properties of meron-like magnetic textures stabilised by anisotropic Dzyaloshinskii-Moriya interaction (A-DMI) are examined in nanodots across hosting geometries. By considering a circular magnetic nanoring, we use micromagnetic simulations to identify geometric conditions that minimise the total energy and favour the stabilisation of vortex or antivortex textures as a function of the ring hole. For each texture, we find an optimal geometry that maximises stability. We further map the spin-wave spectra under in-plane and out-of-plane field pulses. For antivortices, out-of-plane excitation yields a single well-defined mode, whereas vortices exhibit a richer modal structure arising from the competition between A-DMI and geometry. Under in-plane excitation, vortices and antivortices support the same number of low-frequency modes with similar spatial profiles. These results highlight the interplay between meron cores and chiral interactions, with implications for spintronic and magnonic devices that rely on stabilising magnetic textures or tailoring spin-wave modes.