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Phase coupling between auto-oscillators is central for achieving coherent responses such as synchronization. Here we present an experimental approach to probe it in the case of two dipolarly coupled spin-torque vortex nano-oscillators using…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Yi Li , Xavier de Milly , Flavio Abreu Araujo , Olivier Klein , Vincent Cros , Julie Grollier , Grégoire de Loubens

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

Phase locking experiments on vortex based spin transfer oscillators with an external microwave current are performed. We present clear evidence of phase locking, frequency pulling, as well as fractional synchronization in this system, with…

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

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…

In this article we demonstrate the injection locking of recently demonstrated spintronic feedback nano oscillator to microwave magnetic fields at integers as well fractional multiples of its auto oscillation frequency. Feedback oscillators…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Hanuman Singh , K. Konishi , S. Bhuktare , A. Bose , S. Miwa , A. Fukushima , K. Yakushiji , S. Yuasa , H. Kubota , Y. Suzuki , A. A. Tulapurkar

The phase locking behavior of spin transfer nano-oscillators (STNOs) to an external microwave signal is experimentally studied as a function of the STNO intrinsic parameters. We extract the coupling strength from our data using the derived…

Materials Science · Physics 2009-11-13 B. Georges , J. Grollier , M. Darques , V. Cros , C. Deranlot , B. Marcilhac , A. Fert , G. Faini

In this paper, we propose to control the strength of phase-locking between two dipolarly coupled vortex based spin-torque nano-oscillators by placing an intermediate oscillator between them. We show through micromagnetic simulations that…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Flavio Abreu Araujo , Julie Grollier

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…

Chaotic Dynamics · Physics 2014-08-12 Ansar R. Safin , Nicolay N. Udalov , Mikhail V. Kapranov

Super-harmonic injection locking of single nano-contact (NC) spin-torque vortex oscillators (STVOs) subject to a small microwave current has been explored. Frequency locking was observed up to the fourth harmonic of the STVO fundamental…

Materials Science · Physics 2016-09-14 P. S. Keatley , S. R. Sani , G. Hrkac , S. M. Mohseni , P. Dürrenfeld , J. Åkerman , R. J. Hicken

By investigating thoroughly the tunable behavior of coupled modes, we highlight how it provides new means to handle the properties of spin transfer nano-oscillators. We first demonstrate that the main features of the microwave signal…

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 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…

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 investigated injection locking in spin-wave active ring oscillators (SWAROs) operating in the multi-mode regime. By applying external RF signals with varying frequency and power, we identified the locking behavior of individual modes and…

Applied Physics · Physics 2025-12-12 Anirban Mukhopadhyay , Ihor I. Syvorotka , Anil Prabhakar

Arrays of spin-torque nano-oscillators are promising for broadband microwave signal detection and processing, as well as for neuromorphic computing. In many of these applications, the oscillators should be engineered to have equally-spaced…

The mutual interaction between the different eigenmodes of a spin-torque oscillator can lead to a large variety of physical mechanisms from mode hopping to multi-mode generation, that usually reduce their performances as radio-frequency…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 R. Lebrun , J. Grollier , P. Bortolotti , V. Cros , A. Hamadeh , X. de Milly , Y. Li , G. de Loubens , O. Klein , S. Tsunegi , H. Kubota , K. Yakushiji , A. Fukushima , S. Yuasa

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…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 A. D. Belanovsky , N. Locatelli , P. N. Skirdkov , F. Abreu Araujo , J. Grollier , K. A. Zvezdin , V. Cros , A. K. Zvezdin

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

Manipulating operation states of coupled spin-torque nano-oscillators (STNOs), including their synchronization, is essential for applications such as complex oscillator networks. In this work we experimentally demonstrate selective control…

Mesoscale and Nanoscale Physics · Physics 2018-01-11 Yi Li , Xavier de Milly , Olivier Klein , Vincent Cros , Julie Grollier , Grégoire de Loubens
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