Related Experiment Video
Updated: Aug 13, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
Injection locking and phase control of spin transfer nano-oscillators
W H Rippard1, M R Pufall, S Kaka
1National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
Researchers directly measured spin transfer oscillators phase locking to injected AC current. These oscillators lock to signals hundreds of megahertz from their natural frequencies, demonstrating nonlinear oscillator behavior.
Area of Science:
- Physics
- Electrical Engineering
- Materials Science
Background:
- Spin transfer oscillators (STOs) are nanoscale devices that exhibit self-oscillating behavior.
- Understanding and controlling STO dynamics is crucial for developing advanced microwave and spintronic applications.
- Injection locking is a phenomenon where a nonlinear oscillator synchronizes to an external driving signal.
Purpose of the Study:
- To directly measure and characterize the phase locking phenomenon in spin transfer oscillators.
- To investigate the dependence of locking range on input signal strength.
- To compare experimental results with theoretical models of nonlinear oscillator injection locking.
Main Methods:
- Utilized time-domain measurements to observe the phase dynamics of STOs.
- Applied an injected AC current to drive the STOs.
- Varied the DC current and input signal strength to explore the locking behavior.
Main Results:
- Successfully demonstrated phase locking of STOs to an external AC current.
- Observed locking to signals up to several hundred megahertz detuned from the natural oscillation frequency.
- Measured a phase variation of approximately +/-90 degrees within the locking range, consistent with theory.
Conclusions:
- Direct experimental evidence of injection locking in spin transfer oscillators was obtained.
- The results validate theoretical predictions for the injection locking of nonlinear oscillators.
- This work provides insights into controlling STO dynamics for potential device applications.
Related Concept Videos
Spin–Spin Coupling Constant: Overview
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Spin–Spin Coupling: One-Bond Coupling
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
Oscillations In An LC Circuit

