Radial vortex is a topological spin texture stabilized by the interfacial Dzyaloshinskii–Moriya interaction (DMI) in ferromagnetic disks. Previous investigations have shown that the doublet splitting of azimuthal modes in traditional circular vortices arises from the coupling between azimuthal spin waves and the vortex core (VC), an effect that occurs only for azimuthal indices $m=\pm 1$ and is absent for higher-order modes. Here, we demonstrate a giant mode splitting of azimuthal spin waves in radial vortices, even in the absence of the VC. This mode splitting arises from the DMI and can be an order of magnitude larger than that induced by the VC. Moreover, the DMI-induced frequency splitting increases with both the DMI constant and mode index, reaching tens of gigahertz for higher-order azimuthal modes. Our results reveal a robust mechanism for mode splitting in chiral magnetic textures and deepen the fundamental understanding of the DMI effect on the spin-wave dynamics in confined magnets.

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• Magnetic vortices
• Magnetization dynamics
• Micromagnetism
• Nanodisks
• Landau-Lifschitz-Gilbert equation
• Micromagnetic modeling