Mutual Phase Locking of Very Nonidentical Spin Torque Nanooscillators via Spin Wave Interaction

TL;DR

This paper develops a theory for mutual phase locking of highly nonidentical spin-torque nanooscillators via spin wave interaction, using the Slavin-Tiberkevich model and generalized Adler equation, revealing broadband synchronization effects.

Contribution

It introduces a generalized theoretical framework for phase locking in nonidentical nanooscillators considering spin wave coupling and extends it to ensembles.

Findings

Calculated phase-locking regions in parameter space.

Described trajectories and broadband synchronization effects.

Generalized approach for ensembles of nanooscillators.

Abstract

In this paper the mutual phase locking theory of very nonidentical spin-torque nanooscillators, which is based on the Slavin-Tiberkevich model, considering the theory of nonlinear oscillations, is developed. Using generalized Adler equation we calculate phase-locking region of the system with spinwave coupling in the parameter plane - distance between nanocontacts and radii difference. We describe trajectories of such a system in the phase space and show the effect of a broadband synchronization. We introduce a generalization of this approach to the ensembles of spin-torque nanooscillators