Spin eigenmodes of magnetic skyrmions and the problem of the effective skyrmion mass

• DOI: 10.1103/physrevb.97.064403
• Publication Date: 2018-02-07T10:00:55Z
• Authors: Volodymyr P. Krav...; Denis D. Sheka; Ulrich K. Rößler; Jeroen van den Brink; Yuri Gaididei
• Keywords: 0103 physical sciences; 01 natural sciences

The properties of magnon modes localized on a ferromagnetic skyrmion are studied. Mode eigenfrequencies display three types of asymptotic behavior for large skyrmion radius ${R}_{s}$, namely, ${\ensuremath{\omega}}_{0}\ensuremath{\propto}{R}_{s}^{\ensuremath{-}2}$ for the breathing mode and ${\ensuremath{\omega}}_{\ensuremath{-}|\ensuremath{\mu}|}\ensuremath{\propto}{R}_{s}^{\ensuremath{-}1}$ and ${\ensuremath{\omega}}_{|\ensuremath{\mu}|}\ensuremath{\propto}{R}_{s}^{\ensuremath{-}3}$ 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 for a traveling-wave ansatz obeys the massless Thiele equation.