2020/04/09 by Anastasiia Korniienko, Attila Kákay, Denis D. Sheka +1
Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Curvature #Eigenvalues and eigenvectors #Geometry #Magnetic Properties and Applications #Magnetic Properties of Alloys #Magnetic properties of thin films #Mathematics #Physics #Quantum mechanics #Skyrmion #Translational symmetry #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.102.014432
published as Phys. Rev. B 102, 014432 (2020) · 11 pages, 4 figures
arxiv created 2020/04/09 · openalex created_date 2020/04/17 · openalex publication_date 2020/07/20 · arxiv updated 2020/07/29 · openalex updated_date 2026/08/05
Spectrum of spin eigenmodes localized on a ferromagnetic skyrmion pinned by a geometrical defect (bump) of magnetic films is studied theoretically. By means of direct numerical solution of the corresponding eigenvalue problem and finite element micromagnetic simulations we demonstrate that the curvature can induce localized modes with higher azimuthal and radial quantum numbers, which are absent for planar skyrmions (for the same parameters). The eigenfrequencies of all modes, except the breathing and gyromodes decreases with increasing curvature. Due to the translational symmetry break, the zero translational mode of the skyrmion gains a finite frequency and forms the gyromode, which describes the uniform rotation of skyrmions around the equilibrium position. To treat the gyromotion analytically we developed a Thiele-like collective variable approach. We show that N'eel skyrmions in curvilinear films experience a driving force originating from the gradient of the mean curvature. The gyrofrequency of the pinned skyrmion is proportional to the second derivative of the mean curvature at the point of equilibrium.