Mutual Synchronization of Antiferromagnetic Spintronic Oscillators
https://doi.org/10.32603/1993-8985-2022-25-5-80-90
Abstract
Introduction. Recent studies into the properties of spintronic oscillators have led to broadening their scope of practical application as devices for generating and processing signals. The practical implementation of spintronic oscillators is, however, significantly limited by their low power capacity, thus requiring synchronization between devices.
Aim. Determination of conditions for the implementation of the synchronous regime of two antiferromagnetic spintronic oscillators coupled by a common current.
Materials and methods. To simplify the numerical simulation of a system of coupled resistively antiferromagnetic oscillators, the method of multiple-time-scale analysis was used. This allowed a system of Kuramoto equations to be considered instead of the original system. To determine the locking band of the Kuramoto model, the homoclinic trajectory approximation method was applied.
Results. A system of Kuramoto equation for the phases of partial oscillators under the influence of the inertial term and phase shift was obtained. Expressions describing the locking and synchronization band as functions of the system parameters (bias currents and sizes) were derived. The numerically simulated Kuramoto model was used to determine the bands of the synchronous and asynchronous regimes.
Conclusion. The results of numerical simulations of the system of Kuramoto equations and the Adler equation for two coupled spintronic oscillators agree well with the theoretically calculated values of locking and synchronization ranges. The scheme for reducing the model of antiferromagnetic oscillators to a Kuramoto model can be further extended to the case of a larger number of coupled oscillators, which will simplify computational experiments and significantly reduce the time required for numerical simulations.
Supporting agencies: This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FFWZ-2022-0015).
About the Authors
A. Yu. Mitrofanova
Kotel’nikov Institute of Radioengineering and Electronics, RAS; Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Anastasia Yu. Mitrofanova, Engineer; student of the 1st year of Master degree of the Department of Solid-state electronics, radiophysics and applied information technologies
11, Mokhovaya St., build. 7, Moscow 125009
A. R. Safin
Kotel’nikov Institute of Radioengineering and Electronics, RAS; National Research University "MPEI"
Russian Federation
Russian Federation
Ansar R. Safin, senior researcher; Cand. Sci. (Eng.) in the specialty "Radio engineering including television systems and devices" (2014), Head of the Department of Radio Signal Generation and Processing
11, Mokhovaya St., build. 7, Moscow 125009
O. V. Kravchenko
Kotel’nikov Institute of Radioengineering and Electronics, RAS; Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS
Russian Federation
Russian Federation
Oleg V. Kravchenko, Engineer; researcher of the Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences
11, Mokhovaya St., build. 7, Moscow 125009
S. A. Nikitov
Kotel’nikov Institute of Radioengineering and Electronics, RAS; Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Sergey A. Nikitov, Academician of the Russian Academy of Sciences (2022), Director; Doctor of Physical and Mathematical Sciences (1991), Professor (1995)
11, Mokhovaya St., build. 7, Moscow 125009
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Review
For citations:
Mitrofanova A.Yu., Safin A.R., Kravchenko O.V., Nikitov S.A. Mutual Synchronization of Antiferromagnetic Spintronic Oscillators. Journal of the Russian Universities. Radioelectronics. 2022;25(5):80-90. (In Russ.) https://doi.org/10.32603/1993-8985-2022-25-5-80-90
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