Effect of interfacial Dzyaloshinskii–Moriya interaction on three-magnon processes in thin magnetic nanodots

Magnetic materials are familiar with their nonlinear dynamics, which becomes especially rich and efficient at the nanoscale. Precise control of nonlinear interaction is of high interest for various applications. Recently, it was shown that controllable symmetry breaking of magnetic state, induced, e.g., by a magnetic field perturbation, provides an efficient tool for manipulation of multi-magnon processes, which is especially efficient for three-magnon splitting and confluence. In this work, we investigate the effect of interfacial Dzyaloshinskii–Moriya interaction (IDMI)—an antisymmetric exchange interaction—on three-magnon processes. It is shown that IDMI affects the selection rules for three-magnon processes and their efficiency in all the considered geometries of thin magnetic nanodots: saturated magnetic dot with in-plane or perpendicular magnetization and vortex-state magnetic disk. Our results show the need for accurate consideration of possible effects of IDMI or other non-symmetric interactions when designing magnetic or spintronic devices with a controllable nonlinear response.