Synchronization of propagating spin waves in spin Hall oscillators: A micromagnetic study

In this study, we investigate the synchronization of propagating spin waves in a spin-torque oscillator device layout using micromagnetic simulations. This design enables individual probing of the dc current in each oscillator, allowing precise control over the synchronization state and providing direct phase measurement. Our findings reveal that two adjacent oscillators achieve phase locking when they maintain a constant phase difference, either in-phase or anti-phase, depending on their separation distance. This work offers insights into spin-torque oscillator synchronization mechanisms and paves the way for improved control and functionality in spintronic devices.