Domain-wall dynamics in translationally noninvariant nanowires: theory and applications

Abstract

We generalize domain-wall dynamics to the case of translationally noninvariant ferromagnetic nanowires. The obtained equations of motion make the description of the domain-wall propagation more realistic by accounting for the variations along the wire, such as disorder or change in the wire shape. We show that the effective equations of motion are very general and do not depend on the model details. As an example of their use, we consider an hourglass-shaped nanostrip in detail. A transverse domain wall is trapped in the middle and has two stable magnetization directions. We study the switching between the two directions by short current pulses. We obtain the exact time dependence of the current pulses required to switch the magnetization with the minimal Ohmic losses per switching. Furthermore, we find how the Ohmic losses per switching depend on the switching time for the optimal current pulse. As a result, we show that as a magnetic memory this nanodevice can be $10^5$ times more energy efficient than the best modern devices.

5 pages, 3 figures, update to published version

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Cited by in corpus (13)

• Domain wall motion in magnetic nanowires: An asymptotic approach
• Dzyaloshinskii-Moriya domain walls in magnetic nanotubes
• Fast domain wall propagation in uniaxial nanowires with transverse fields
• Composite topological structure of domain walls in synthetic antiferromagnets
• Spin texture motion in antiferromagnetic and ferromagnetic nanowires
• Current-driven periodic domain wall creation in ferromagnetic nano-wires
• Domain wall motion in ferromagnetic nanotubes: Analytic results
• Electrically controlled pinning of Dzyaloshinskii-Moriya domain walls
• Reversible magnetic domain reorientation induced by magnetic field pulses with fixed direction
• Orbital angular momentum and current-induced motion of a Skyrmion-textured domain wall in a ferromagnetic nanotube
• Optimization of spin-torque switching using AC and DC pulses
• Dynamics of the polarization of a pinned domain wall in a magnetic nanowire
• Topologically Protected Dynamics of Spin Textures