Oscillation modes of skyrmion strings in a ferromagnetic film

It is shown that a skyrmion string in a ferromagnetic film consisting of $N$ atomic layers exhibits flexural oscillations at eigenfrequencies $|ω_{m}|=(4J'S/\hbar)\sin^{2}[πm/(2N)]$, where $J'$ is the interlayer exchange coupling, $S$ is…

It is shown that a skyrmion string in a ferromagnetic film consisting of $N$ atomic layers exhibits flexural oscillations at eigenfrequencies $|ω_{m}|=(4J'S/\hbar)\sin^{2}[πm/(2N)]$, where $J'$ is the interlayer exchange coupling, $S$ is the length of the atomic spin, and…