Phase locking of spin-torque nano-oscillator pairs with magnetic dipolar coupling

Hao Hsuan Chen, Ching Ming Lee, Zongzhi Zhang, Yaowen Liu, Jong-Ching Wu, Lance Horng, Ching Ray Chang

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

A spin-torque nanopillar oscillator (STNO) that combines a perpendicular-to-plane polarizer (PERP) with an in-plane magnetized free layer is a good candidate for phase locking, which opens a potential approach to enhancement of the output power of STNOs. In this paper, the magnetic dipolar coupling effect is used as the driving force to synchronize two STNOs. We develop an approximation theory for synchronizing two identical and nonidentical pairs of PERP STNOs, by which the critical current of synchronization, dipolar coupling strength, phase-locking transient time, and frequency can be analytically predicted. These predictions are further confirmed by macrospin and micromagnetic simulations. Finally, we show the phase diagrams of the phase locking as a function of applied current and separation between two STNOs.

Original languageEnglish
Article number224410
JournalPhysical Review B
Volume93
Issue number22
DOIs
Publication statusPublished - 2016 Jun 8

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Approximation theory
Magnetic couplings
Critical currents
locking
Phase diagrams
torque
Synchronization
Torque
oscillators
polarizers
synchronism
critical current
phase diagrams
augmentation
output
predictions
approximation
simulation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Chen, Hao Hsuan ; Lee, Ching Ming ; Zhang, Zongzhi ; Liu, Yaowen ; Wu, Jong-Ching ; Horng, Lance ; Chang, Ching Ray. / Phase locking of spin-torque nano-oscillator pairs with magnetic dipolar coupling. In: Physical Review B. 2016 ; Vol. 93, No. 22.
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Phase locking of spin-torque nano-oscillator pairs with magnetic dipolar coupling. / Chen, Hao Hsuan; Lee, Ching Ming; Zhang, Zongzhi; Liu, Yaowen; Wu, Jong-Ching; Horng, Lance; Chang, Ching Ray.

In: Physical Review B, Vol. 93, No. 22, 224410, 08.06.2016.

Research output: Contribution to journalArticle

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AU - Horng, Lance

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AB - A spin-torque nanopillar oscillator (STNO) that combines a perpendicular-to-plane polarizer (PERP) with an in-plane magnetized free layer is a good candidate for phase locking, which opens a potential approach to enhancement of the output power of STNOs. In this paper, the magnetic dipolar coupling effect is used as the driving force to synchronize two STNOs. We develop an approximation theory for synchronizing two identical and nonidentical pairs of PERP STNOs, by which the critical current of synchronization, dipolar coupling strength, phase-locking transient time, and frequency can be analytically predicted. These predictions are further confirmed by macrospin and micromagnetic simulations. Finally, we show the phase diagrams of the phase locking as a function of applied current and separation between two STNOs.

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