Phase locking dynamics of dipolarly coupled vortex-based spin transfer oscillators
A.D. Belanovsky, N. Locatelli, P.N. Skirdkov, F. Abreu Araujo, J., Grollier, K.A. Zvezdin, V. Cros, A.K. Zvezdin

TL;DR
This paper investigates how dipolar interactions influence the phase locking of vortex-based spin transfer oscillators, revealing the efficiency of magneto-static coupling and analyzing the dynamics and energy interactions involved.
Contribution
It provides a combined numerical and analytical study of phase locking in vortex oscillators, highlighting the role of magneto-static interactions and transient dynamics.
Findings
Magneto-static interaction effectively induces phase locking.
Locking time and coupling strength depend on interpillar distance.
Interaction energy aligns with simple model predictions.
Abstract
Phase locking dynamics of dipolarly coupled vortices excited by spin-polarized current in two identical nanopillars is studied as a function of the interpillar distance L. Numerical study and analytical model have proved the remarkable efficiency of magneto-static interaction to achieve phase locking. Investigating the dynamics in the transient regime towards phase locking, we extract the evolution of the locking time \tau, the coupling strength {\mu} and the interaction energy W. Finally, we compare this coupling energy with the one obtained by simple model.
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