Mutual synchronization of spin-torque oscillators consisting of perpendicularly magnetized free layers and in-plane magnetized pinned layers

Abstract

A mutual synchronization of spin-torque oscillators coupled through current injection is studied theoretically. Models of electrical coupling in parallel and series circuits are proposed. Solving the Landau-Lifshitz-Gilbert equation, excitation of in-phase or antiphase synchronization, depending on the ways the oscillators are connected, is found. It is also found from both analytical and numerical calculations that the current-frequency relations for both parallel and series circuits are the same as that for a single spin-torque oscillator.

arXiv comment5 pages, 4 figures

References in corpus (5)

• Microwave Oscillations of a Nanomagnet Driven by a Spin-Polarized Current
• Direct-Current Induced Dynamics in Co90Fe10/Ni80Fe20 Point Contacts
• Spin torque building blocks
• Spin Transfer Dynamics in Spin Valves with Out-of-plane Magnetized CoNi Free Layers
• Dynamic coupling of ferromagnets via spin Hall magnetoresistance

Cited by in corpus (7)

• Synchronized, periodic, and chaotic dynamics in spin torque oscillator with two free layers
• Frequency enhancement and power tunability in tilted polarizer spin-torque nano oscillator
• Phase locking of spin transfer nano-oscillators using common microwave sources
• Spin-current driven spontaneous coupling of ferromagnets
• Influence of field-like torque in synchronization of spin torque oscillators
• Large Amplitude Spin-Hall Oscillations due to Field-like Torque
• Coupled dynamics of magnetizations in spin-Hall oscillators via spin current injection