Field-Driven Dynamics of Magnetic Hopfions

We present micromagnetic simulations on resonant spin wave modes of magnetic Hopfions up to 15 GHz driven by external magnetic fields. A sharp transition is found around 66 mT coinciding with a transition from Hopfions to magnetic torons. The modes exhibit characteristic amplitudes in frequency space accompanied by unique localization patterns in real space and are found to be robust to damping around topological features, particularly vortex lines in Hopfions and Bloch points in torons. The marked differences in spin wave spectra between Hopfions, torons, and target skyrmions can serve as fingerprints in future experimental validation studies of these novel 3D topological spin textures.

Automated summary

Micromagnetic simulations of resonant spin wave modes in magnetic Hopfions up to 15 GHz revealed characteristic amplitudes and unique localization patterns, showing robustness around topological features. The differences in spin wave spectra between Hopfions, torons, and skyrmions can serve as fingerprints for future experimental validation studies of these novel 3D topological spin textures.