Probing phase coupling between two spin-torque nano-oscillators with external source

Abstract

Phase coupling between auto-oscillators is central for achieving coherent responses such as synchronization. Here we present an experimental approach to probe it in the case of two dipolarly coupled spin-torque vortex nano-oscillators using an external microwave field. By phase-locking one oscillator to the microwave field, we observe frequency pulling on the second oscillator. From coupled Thiele equations we show analytically that this frequency pulling results from concerted actions of dipolar and microwave couplings. The analysis allows us to determine the amplitude of dipolar coupling and the phase lag of each oscillator, yielding important information for the implementation of large oscillator networks.

References in corpus (7)

• Coupling efficiency for phase locking of a spin transfer oscillator to a microwave current
• Bistability of vortex core dynamics in a single perpendicularly magnetized nano-disk
• Low-frequency vortex dynamic susceptibility and relaxation in mesoscopic ferromagnetic dots
• Excitation of spin dynamics by spin-polarized current in vortex state disks
• Phase locking dynamics of dipolarly coupled vortex-based spin transfer oscillators
• Describing synchronization and topological excitations in arrays of magnetic spin torque oscillators through the Kuramoto model
• Controlling the synchronization properties of two dipolarly coupled vortex based spin-torque nano-oscillators by the intermediate of a third one

Cited by in corpus (4)

• Coherent spin pumping in a strongly coupled magnon-magnon hybrid system
• Nutation spectroscopy of a nanomagnet driven into deeply nonlinear ferromagnetic resonance
• Simultaneous Optical and Electrical Spin-Torque Magnetometry with Stroboscopic Detection of Spin-Precession Phase
• Selective control of vortex polarities by microwave field in two robustly synchronized spin-torque nano-oscillators