2017/11/28 by Volodymyr P. Kravchuk, Denis D. Sheka, Ulrich K. Rößler +2 · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.97.064403
published as Phys. Rev. B 97, 064403 (2018) · 11 pages, 4 figures
arxiv created 2017/11/28 · arxiv updated 2018/02/14
Properties of magnon modes localized on a ferromagnetic skyrmion are studied. Three types of possible asymptotic behavior of the modes eigenfrequencies are found for the case of large skyrmion radius Rs, namely ω0∼ Rs-2 for the breathing mode, ω-|μ|∼ Rs-1 and ω|μ|∼ Rs-3 for modes with negative and positive azimuthal quantum numbers, respectively. A number of properties of the magnon eigenfunctions are determined. This enables us to demonstrate that the skyrmion dynamics based on the traveling wave model is described by the massless Thiele equation.