Abstract
Due to their nonlinear properties, spin transfer nano-oscillators can easily adapt their frequency to external stimuli. This makes them interesting model systems to study the effects of synchronization and brings some opportunities to improve their microwave characteristics in view of their applications in information and communication technologies and/or to design innovative computing architectures. So far, mutual synchronization of spin transfer nano-oscillators through propagating spinwaves and exchange coupling in a common magnetic layer has been demonstrated. Here we show that the dipolar interaction is also an efficient mechanism to synchronize neighbouring oscillators. We experimentally study a pair of vortex-based spin transfer nano-oscillators, in which mutual synchronization can be achieved despite a significant frequency mismatch between oscillators. Importantly, the coupling efficiency is controlled by the magnetic configuration of the vortices, as confirmed by an analytical model and micromagnetic simulations highlighting the physics at play in the synchronization process.
Highlights
Beyond the traditional applications to data storage and field sensors, the recent progresses in spin transfer physics allows a widening of the application spectra for spintronics devices, notably toward multifunctional devices[1,2] relying on their nonvolatile nature, scalability, and compatibility with existing CMOS processes
Achieving synchronization of spin-transfer nano-oscillators (STNOs) aims at improving the self-sustained oscillations stability that is crucial for radio-frequency applications as nanoscale tunable radiofrequency source or radiofrequency detector[8,9,10], and enables the development of innovative computing architectures, oscillator-based associative memories based on information coding in the individual phases of large scale arrays of interacting STNOs11,12
We demonstrate the ability of the two STNOs to achieve mutual synchronization despite a significant frequency mismatch
Summary
Where X i = Xie iφi (i ∈ {1,2}) are the complex coordinates of the core positions and X i⁎ = Xie−iφi are their complex conjugates. The coupling action is considered as a perturbation to the equilibrium auto-oscillations of the isolated pillars. In order to extract a differential equation for the relative phase dynamics, we expand these equa-
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