Mutual synchronization of spin torque nano-oscillators through a non-local and tunable electrical coupling
R. Lebrun, S. Tsunegi, P. Bortolotti, H. Kubota, A.S. Jenkins, M., Romera, K. Yakushiji, A. Fukushima, J. Grollier, S. Yuasa, V. Cros

TL;DR
This paper demonstrates the mutual synchronization of spin torque nano-oscillators using a non-local, tunable electrical coupling, enabling enhanced control over nanoscale collective dynamics in spintronic networks.
Contribution
It introduces a novel non-local electrical coupling method for synchronizing spin-torque oscillators, improving understanding and control of their collective behavior.
Findings
Successful synchronization via non-local electrical coupling
Control of synchronization with electrical delay lines
Potential for complex network dynamics in spintronics
Abstract
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 spin-torque oscillators, the local nature of the magnetic coupling that is used have largely hampered a good understanding and thus the control of the synchronization process. Here we take advantage of the non-local nature of an electrical coupling to mutually synchronize spin-torque oscillators through their self-emitted microwave currents. The control of the synchronized state is achieved at the nanoscale through two active components of spin transfer torques, but also externally through an electrical delay line. These additional levels of control of the synchronization capability provide new approaches to underlie a large variety of nanoscale collective…
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