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Non-linear magnetization dynamics in ferromagnetic nanoelements excited by the spin-polarized dc-current is one of the most intensively studied phenomena in solid state magnetism. Despite immense efforts, synchronization of oscillations…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Sergey Erokhin , Dmitry Berkov

Synchronization of coupled oscillators is a fundamental phenomenon that has been observed in many natural and engineered systems, ranging from biological cells to electronic circuits. In recent years, spin torque nano-oscillators (STNOs)…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 Fangzhou Ai , Vitaliy Lomakin

This chapter reviews the state of the art in mutually synchronized spin-torque and spin Hall nano-oscillator (STNO and SHNO) arrays. After briefly introducing the underlying physics, we discuss different nano-oscillator implementations and…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Akash Kumar , Artem Litvinenko , Nilamani Behera , Ahmad A. Awad , Roman Khymyn , Johan Åkerman

We are reporting a new type of synchronization, termed dancing synchronization, between two spin-torque nano-oscillators (STNOs) coupled through spin waves. Different from the known synchronizations in which two STNOs are locked with…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 H. T. Wu , Lei Wang , Tai Min , X. R. Wang

We study mutual synchronization in double nanoconstriction-based spin Hall nano-oscillators (SHNOs) under weak in-plane fields ($\mu_0H_\mathrm{IP}$ = 30-40 mT) and also investigate its angular dependence. We compare SHNOs with different…

We propose an asymmetric-nanoconstriction (ANC) design of spin-Hall nano-oscillators (SHNOs) and investigate mutual synchronization of a pair of such devices using micromagnetic simulations. The ANC geometry enables strong dipolar coupling…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Roman V. Ovcharov , Roman S. Khymyn , Akash Kumar , Johan Åkerman

We report the experimental observation of mutual synchronization of magnetic nanooscillators driven by pure spin current generated by nonlocal spin injection. We show that the oscillators efficiently synchronize due to the direct spatial…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 S. Urazhdin , V. E. Demidov , R. Cao , B. Divinskiy , V. Tyberkevych , A. Slavin , A. B. Rinkevich , S. O. Demokritov

The concept of spin torque driven high frequency magnetization dynamics has opened up the field of spintronics to non-linear physics, potentially in complex networks of dynamical systems. In the scarce demonstrations of synchronized…

Mesoscale and Nanoscale Physics · Physics 2017-12-21 R. Lebrun , S. Tsunegi , P. Bortolotti , H. Kubota , A. S. Jenkins , M. Romera , K. Yakushiji , A. Fukushima , J. Grollier , S. Yuasa , V. Cros

We propose a system of two coupled spin-torque nano-oscillators (STNOs), one driver and another response, and demonstrate {using numerical studies} the synchronization of the response system to the frequency of the driver system. To this…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 C. Sanid , S. Murugesh

Spin Hall nano-oscillators (SHNOs) utilize pure spin currents to drive local regions of magnetic films and nanostructures into auto-oscillating precession. If such regions are placed in close proximity to each other they can interact and…

We report on a time-domain study of parametric synchronization in a magnetic tunnel junction based spin torque nano-oscillator (STNO). Time-domain measurements of the instantaneous frequency ($f_{i}$) of a parametrically synchronized STNO…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Raghav Sharma , Naveen Sisodia , Philipp Dürrenfeld , Johan Åkerman , P. K. Muduli

Spin-orbit torque can drive auto-oscillations of propagating spin wave (PSW) modes in nano-constriction spin Hall nano-oscillators (SHNOs). These modes allow both long-range coupling and the potential of controlling its phase -- critical…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Akash Kumar , Avinash kumar Chaurasiya , Victor H. González , Nilamani Behera , Roman Khymyn , Ahmad A. Awad , Johan Åkerman

In this study, we investigate the synchronization of propagating spin waves in a novel spin torque oscillator device layout using micromagnetic simulations. This design enables individual probing of the dc current in each oscillator,…

Materials Science · Physics 2025-03-10 Mohammad Haidar

In this paper, we study typical nonlinear phenomenon of phase-locking or synchronization in spin-torque nano oscillators (STNOs). To start with the oscillators are considered as uncoupled but interlinked through either a common microwave…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 R. Gopal , B. Subash , V. K. Chandrasekar , M. Lakshmanan

We investigate analytically and numerically the synchronization dynamics of dipolarly coupled vortex based Spin-Torque Nano Oscillators (STNO) with different pillar diameters. We identify the critical interpillar distances on which…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 A. D. Belanovsky , N. Locatelli , P. N. Skirdkov , F. Abreu Araujo , K. A. Zvezdin , J. Grollier , V. Cros , A. K. Zvezdin

A strategy for a scalable synchronization of an array of spin-Hall oscillators (SHOs) is illustrated. In detail, we present micromagnetic simulations of two and five SHOs realized by means of couples of triangular golden contacts on the top…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Vito Puliafito , Anna Giordano , Antonino Laudani , Francesca Garescì , Mario Carpentieri , Bruno Azzerboni , Giovanni Finocchio

Due to their nonlinear properties, spin transfer nano-oscillators can easily adapt their frequency to external stimuli. This makes them interesting model systems to study the effects of synchronization and brings some opportunities to…

An array of spin torque nano-oscillators (STNOs), coupled by dipolar interaction and arranged on a ring, has been studied numerically and analytically. The phase patterns and locking ranges are extracted as a function of the number $N$,…

Soft Condensed Matter · Physics 2021-08-10 M. A. Castro , D. Mancilla-Almonacid , B. Dieny , S. Allende , L. D. Buda-Prejbeanu , U. Ebels

We demonstrate that the synchronization of an array of electrically coupled spin torque nano-oscillators (STNO) modelled by Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation can be enhanced appreciably in the presence of a common external…

Chaotic Dynamics · Physics 2015-06-22 B. Subash , V. K. Chandrasekar , M. Lakshmanan

Stochastic oscillators based on emerging nanodevices are attractive because of their ultra-low power requirement and ability to exhibit stochastic resonance, a phenomenon where synchronization to weak input signals is enabled due to ambient…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Punyashloka Debashis , Aman K. Maskay , Pramey Upadhyaya , Zhihong Chen
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