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

Volodymyr P. Kravchuk, Denis D. Sheka, Ulrich K. Rößler, Jeroen van den Brink, and Yuri Gaididei

Phys. Rev. B 97, 064403 – Published 7 February 2018

Abstract

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, ${ω おめが}_{0} \propto R_{s}^{- 2}$ for the breathing mode and ${ω おめが}_{- | μ みゅー |} \propto R_{s}^{- 1}$ and ${ω おめが}_{| μ みゅー |} \propto R_{s}^{- 3}$ 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.

Received 29 November 2017

DOI:https://doi.org/10.1103/PhysRevB.97.064403

Physics Subject Headings (PhySH)

Ferromagnetism Magnetic texture

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Volodymyr P. Kravchuk^1,2,*, Denis D. Sheka^3,†, Ulrich K. Rößler^2,‡, Jeroen van den Brink^2,4,§, and Yuri Gaididei^1,∥

¹Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine
²Leibniz-Institut für Festkörper- und Werkstoffforschung, IFW Dresden, 01171 Dresden, Germany
³Department of Mathematics and Theoretical Radio Physics, Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, 01601 Kyiv, Ukraine
⁴Institute for Theoretical Physics, TU Dresden, 01069 Dresden, Germany

^*Corresponding author: vkravchuk@bitp.kiev.ua
^†sheka@knu.ua
^‡u.roessler@ifw-dresden.de
^§j.van.den.brink@ifw-dresden.de
^∥ybg@bitp.kiev.ua

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Issue

Vol. 97, Iss. 6 — 1 February 2018

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