Chirality-dependent terahertz topological resonance and inertial dynamics of magnetic skyrmions

Abstract: We present a theoretical investigation of the terahertz (THz) optical response of magnetic skyrmions governed by an inertial-modified Thiele equation. By incorporating the inertial mass term, we derive analytical expressions for the THz absorption spectrum of skyrmions, revealing a topological resonance phenomenon tunable via the skyrmion's topological charge $Q$, damping factor $\alpha$, and effective mass $m$. The resonance frequency $\omega_0 \propto Q/m$ emerges from the interplay between gyroscopic coupling and inertial mass, enabling precise control over skyrmion dynamics through circularly polarized THz fields. Our results demonstrate that the helical motion trajectories and velocity components of skyrmions depend on the chirality of light and the topological charge $Q$, with critical damping $\alpha_c$ marking the transition to overdamped regimes. Our findings establish an optical method for designing tunable THz devices, such as topological filters and detectors, by exploiting the interplay between magnetic skyrmion topology and the chirality of THz light coupling.