Eavesdropping on spin waves inside the domain-wall nanochannel via three-magnon processes

One recent breakthrough in the field of magnonics is the experimental realization of reconfigurable pin-wave nanochannels formed by magnetic domain wall with a width of 10-100 nm. This remarkable progress enables an energy-efficient spin-wave propagation with a well-defined wave vector along its propagating path inside the wall. A micro-focus Brillouin light scattering spectroscopy is taken in a line-scans manner to measure the frequency of the bounded spin wave. Due to their localization nature, the confined spin waves can hardly be detected outside the wall channel, which guarantees the information security to some extent. In this work, we propose a scheme to detect/eavesdrop on the spin waves inside the domain-wall nanochannel via nonlinear three-magnon processes. We send a spin wave in one magnetic domain to interact with the bounded mode in the wall. Two kinds of three-magnon processes, i.e., confluence and splitting, are expected to occur. The confluence process is conventional, while the three magnon splitting is highly nontrivial. We uncover a stimulated three-magnon splitting (or "magnon laser") effect, assisted by the bounded magnon moving in the wall channel. Micromagnetic simulations confirm our theoretical analysis. Our results demonstrate that one is able to uniquely infer the spectrum of the spin-wave in the domain-wall nanochannel once we know both the injection and the transmitted waves.