Domain wall motion damped by the emission of spin waves

Abstract

The domain wall motion of field-driven transverse domain walls in biaxial ferromagnets is investigated by solving the Landau-Lifshitz-Gilbert equation. It is demonstrated that with increasing easy-plane or hard-axis anisotropy ${D}_{h}$ different types of domain wall motion occur. The different scenarios correspond to different velocity equations. In the limit of absent hard-axis anisotropy $({D}_{h}/J=0)$ a precessional domain wall motion can be found while for ${D}_{h}/J\ensuremath{\ne}0$ a steady domain wall motion interrupted by a Walker breakdown at high fields prevails. In the limit of huge anisotropies $({D}_{h}/J⪢0)$ a domain wall motion damped by emission of spin waves occurs. The connection between magnetic systems and the theory of solitons is discussed.