Magneto-rotation coupling for ferromagnetic nanoelement embedded in elastic substrate

Abstract

This study investigates magneto-rotational coupling as a distinct contribution to magnetoelastic interactions, which can be influenced by magnetic anisotropy. We determine magneto-rotational coupling coefficients that incorporate the shape anisotropy of a magnetic nanoelement (strip) and demonstrate that this type of coupling can be modified through geometric adjustments. Furthermore, we analyze the magneto-rotational contribution to the magnetoelastic field in a ferromagnetic strip embedded in a nonmagnetic substrate. Both Rayleigh and Love waves are considered sources of the magnetoelastic field, and we examine how the strength of the magneto-rotational coupling varies with the direction of the magnetization, and the aspect ratio of the strip cross section. We analyze the changes in the magneto-rotational contribution to the magnetoelastic field with an increasing thickness-to-width ratio, assuming a fixed magnetization direction corresponding to the strongest magnetoelastic coupling. For Love waves, the contribution of the out-of-plane component increases monotonically, while that of the in-plane component decreases monotonically. In the case of the Rayleigh wave, only the out-of-plane component contributes, and it approaches zero as the cross section becomes square. These findings enhance the understanding of magneto-rotational coupling in magnonic nanostructures.