A magnetic domain wall Mackey-Glass oscillator
J\'er\^ome Williame, Joo-Von Kim

TL;DR
This paper introduces a novel magnetic domain wall oscillator utilizing a Mackey-Glass nonlinearity, achieved through spin transfer torques in a nanostrip, demonstrating potential for complex oscillatory behaviors.
Contribution
It presents a new time-delay oscillator design based on magnetic domain walls with nonlinear feedback, combining micromagnetic simulations and nonlinear dynamics analysis.
Findings
Self-sustained oscillations are achievable in the system.
The oscillator exhibits complex transient behaviors.
Readout position and feedback parameters critically influence dynamics.
Abstract
We propose a time-delay oscillator with Mackey-Glass nonlinearity based on a pinned magnetic domain wall in a thin film nanostrip. Through spin transfer torques, electric currents applied along the strip cause the domain wall to deform and displace away from a geometrical pinning site, which can be converted into a nonlinear transfer function through a suitable choice of a readout. This readout serves as a delay signal, which is subsequently fed back into the applied current with amplification. With micromagnetics simulations, we study the role of the readout position, time delay, and feedback gain on the dynamics of this domain wall. In particular, we highlight regimes in which self-sustained oscillations and complex transients are possible.
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