Localized spin-wave modes and microwave absorption in random-anisotropy ferromagnets

The theory of localized spin-wave excitations in random-anisotropy magnets has been developed. Starting with a pure Heisenberg ferromagnet, we study the evolution of standing spin waves in a finite-size sample towards localized modes on increasing the strength of random anisotropy. Profiles of the localized modes and their phases are analyzed and visualized in a two-dimensional sample. Localization length is obtained by several methods and its dependence on random anisotropy is computed. The connection between the localization of spin excitations and the broadband nature of the absorption of microwave power by random-anisotropy magnets is elucidated.