Optimizing magneto-dipolar interactions for synchronizing vortex based spin-torque nano-oscillators
F. Abreu Araujo, A. D. Belanovsky, P. N. Skirdkov, K. A. Zvezdin, A., K. Zvezdin, N. Locatelli, R. Lebrun, J. Grollier, V. Cros, G. de Loubens, and, O. Klein

TL;DR
This paper presents a theoretical investigation into how magneto-dipolar interactions can be optimized to synchronize vortex-based spin-torque nano-oscillators, highlighting the impact of vortex polarity configurations on coupling strength.
Contribution
It introduces a combined micromagnetic, Thiele equation, and macro-dipole model approach to identify optimal vortex configurations for phase-locking in nano-oscillators.
Findings
AP vortex configuration has three times stronger coupling than P configuration.
Analytical models effectively predict coupling efficiency based on vortex parameters.
Optimized configurations enable better synchronization of vortex nano-oscillators.
Abstract
We report on a theoretical study about the magneto-dipolar coupling and synchronization between two vortex-based spin-torque nano-oscillators. In this work we study the dependence of the coupling efficiency on the relative magnetization parameters of the vortices in the system. For that purpose, we combine micromagnetic simulations, Thiele equation approach, and analytical macro-dipole approximation model to identify the optimized configuration for achieving phase-locking between neighboring oscillators. Notably, we compare vortices configurations with parallel (P) polarities and with opposite (AP) polarities. We demonstrate that the AP core configuration exhibits a coupling strength about three times larger than in the P core configuration.
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