Abstract

We implemented a one-dimensional domain wall (DW) dynamics simulator based on the well-developed collective coordinate approach to demonstrate DW motion under a given magnetic field and/or current flow. The simulator adopted all known influences, including three-dimensional external magnetic fields, spin transfer torque with non-adiabatic contribution, spin Hall effect, Rashba effect, and Dzyaloshinskii-Moriya interaction. The simulator can calculate the position, velocity, internal magnetization angle, and tilting angle of the domain wall to the current direction or wire axis under given simulation conditions and material parameters. It will not only provide physical insights of domain wall dynamics to experimentalists, but also can be used to more easily simulate various physical circumstances before running time-consuming micromagnetic simulations or real experiments.

Highlights

  • Since the proposal of domain wall (DW) motion based memory devices[1] and the discovery of DW motion induced by spin transfer torque (STT),[2] various techniques for manipulation of DW position have been studied.[3,4,5,6,7,8,9,10,11] Once the concept of race track memory has been proposed, DW motion by STT has been heavily investigated

  • When the field or current is larger than critical value (Walker breakdown), the DW moves by rotating tilting angle

  • When DW motion belongs to the precession motion region, there is a minor problem in the determination of DW velocity in this simulator

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Summary

INTRODUCTIONS

Since the proposal of domain wall (DW) motion based memory devices[1] and the discovery of DW motion induced by spin transfer torque (STT),[2] various techniques for manipulation of DW position have been studied.[3,4,5,6,7,8,9,10,11] Once the concept of race track memory has been proposed, DW motion by STT has been heavily investigated. It is known that collective coordinate approach is a simpler method that can solve one-dimensional DW motion[10,22,23] for given material and structural parameters with external magnetic fields, STT, SOT, and DMI terms.[4,18,19] Because the collective coordinate approach oversimplifies DW motion problems, it may ignore some important physical features including the creation of Bloch line[24] and distortion of DW shape. One can obtain DW position, velocity, and internal magnetization angles such as two tilting angles for given simulation conditions. We believe that this simulator will be very useful for DW motion studies

COLLECTIVE COORDINATE APPROACH FOR ONE-DIMENSIONAL DW MOTION
USAGE OF THE SIMULATOR
SIMULATION RESULTS
CONCLUSIONS
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