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Collective dynamics of magnetic vortices in multilayer structures
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DOI：10.1016/j.physb.2026.418759.png)
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Abstract
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An analytical calculation of the frequency spectrum of coupled periodic motion of magnetic vortices in a columnar structure composed of alternating ferromagnetic and non-magnetic layers is presented. An expression for the dispersion law in the general case of an arbitrary distribution of the magnetic parameters of the layers (polarity and vorticity) is derived. Particular cases of a periodically modulated distribution of layer polarity and vorticity are considered for models with an infinite and a finite number of ferromagnetic layers. It is demonstrated that magnetostatic interaction between the cores of magnetic vortices plays a significant role, correcting the frequency spectra of the gyrotropic modes over a wide range. This results in a strong dependence of the collective gyrotropic mode frequencies on the distribution of layer polarities and vorticities. It is shown that long-wavelength modes are not supported in both models with alternating polarity signs and a relatively small distance between the magnetic layers. It is shown that the vorticity sign alternation from layer to layer has a noticeably smaller effect on the frequency spectrum of collective modes than the polarity sign alternation. These phenomena could find application in tunable devices for the emission and absorption of electromagnetic waves.
Keywords:
magnetic vortices
multilayer structures
gyrotropic modes
dispersion law
magnetostatic interaction
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