Abstract

This chapter reviews the dynamics of spin waves under the influence of bulk and interfacial Dzyaloshinskii–Moriya interaction (DMI), both in thin films and magnonic crystals. Micromagnetic simulations are a powerful numerical method for the analysis of spin dynamics in magnetic samples of a few microns. Spin waves propagating in a periodic magnetic media, such as an magnonic crystal (MC)—the magnetic counterpart of a photonic crystal—exhibit magnonic bandgaps induced by Bragg scattering, which means there are frequencies where propagation is forbidden. The influence of DMI on the behavior of spin waves in chiral lattice magnets, ultrathin ferromagnetic films capped with a heavy metal layer, and chiral MCs has been reviewed. Such anisotropic exchange coupling produces nonreciprocal features on the spin-wave spectrum of a magnetic system, a phenomenon that occurs for both bulk and interfacial DMI. The concept of a chiral MC has been introduced theoretically, where the interfacial DMI is considered as periodic along a single direction.