Frequency linewidth and decay length of spin waves in curved magnetic membranes

TL;DR

This paper analytically demonstrates that curvature in magnetic membranes affects spin-wave absorption, leading to measurable asymmetries in linewidth and decay length, which are crucial for developing 3D magnonic devices.

Contribution

It introduces an analytical model showing how membrane curvature influences spin-wave linewidth and decay length, expanding control methods for magnonic device design.

Findings

Linewidth asymmetry of 10-20% in nanotubes with radii 30-260 nm.

Decay length asymmetry of 10-22% in the 2-10 GHz range.

Curvature effects are comparable to interfacial DMI in experiments.

Abstract

The curvature of a magnetic membrane was presented as a means of inducing nonreciprocities in the spin-wave (SW) dispersion relation (see [Ot\'alora et al. Phys. Rev. Lett., 2016 117, 227203] and [Ot\'alora et al. Phys. Rev. B., 2017 95, 184415]), thereby expanding the toolbox for controlling SWs. In this paper, we further complement this toolbox by analytically showing that the membrane curvature is also manifested in the absorption of SWs, leading to a difference in the frequency linewidth (or lifetime) of counterpropagating magnons. Herein, we studied the nanotubular case, predicting changes of approximately greater than 10% and up to 20% in the frequency linewidth of counterpropagating SWs for a wide range of nanotube radii ranging from 30 nm to 260 nm and with a thickness of 10 nm. These percentages are comparable to those that can be extracted from experiments on heavy metal/magnetic metal sandwiches, wherein linewidth asymmetry results from an interfacial Dzyaloshinskii-Moriya interaction (DMI). We also show that the interplay between the frequency linewidth and group velocity leads to asymmetries in the SW decay length, presenting changes between 10\% and 22\% for counterpropagating SWs in the frequency range of 2 - 10 GHz. For the case of the SW dispersion relation, the predicted effects are identified as the classical dipole-dipole interaction, and the analytical expression of the frequency linewidth has the same mathematical form as in thin films with the DMI. Furthermore, we present limiting cases of a tubular geometry with negligible curvature such that our analytical model converges to the case of a planar thin film known from the literature. Our findings represent a step forward toward the realization of three-dimensional curvilinear magnonic devices.