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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

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

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…

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

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

Multiple neuromorphic applications require the tuning of two or more devices to a common signal. Various types of neuromorphic computation can be realized using spintronic oscillators, where the DC current induces magnetization precession,…

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

Spin torque oscillators placed onto a nonmagnetic heavy metal show synchronized auto-oscillations due to the coupling originating from spin Hall magnetoresistance effect. Here, we study a system having two spin torque oscillators under the…

Mesoscale and Nanoscale Physics · Physics 2017-10-26 Tomohiro Taniguchi

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…

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 study, we discuss the observation of spin wave interference generated by magnetic oscillators. We employ micromagnetic simulations for two coherent spin Hall nanowire oscillators positioned nearby, horizontally or vertically. The…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Mohammad Haidar

We present an experimental study of phase-locking in a stochastic magnetic oscillator. The system comprises a magnetic tunnel junction with a superparamagnetic free layer, whose magnetization dynamics is driven with spin torques through an…

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 paper reviews the state of the art in spin-torque and spin Hall effect driven nano-oscillators. After a brief introduction to the underlying physics, the authors discuss different implementations of these oscillators, their functional…

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 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

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

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

We investigate experimentally the synchronization of a vortex based spin transfer oscillator to an external rf current whose frequency is at multiple integers, as well as half integer, of the oscillator frequency. Through a theoretical…

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