https://doi.org/10.1140/epjd/s10053-023-00669-7
Regular Article – Nonlinear Dynamics
On the current-induced domain-wall dynamics
1
Pure Physics Laboratory: Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala, 24157, Douala, Cameroon
2
National Committee for Development of Technologies (CNDT), Ministry of Scientific Research and Innovation, 1457, Yaounde, Cameroon
3
The Abdus Salam ICTP, Strada Costiera, 11, 34151, Trieste, Italy
Received:
12
February
2023
Accepted:
15
May
2023
Published online:
31
May
2023
In this paper, we study the dynamics of a 180
magnetic domain-wall of a flat nanowire driven by an electric current with the adiabatic and non-adiabatic spin-transfer torques using cylindrical coordinates. We establish suitable expressions of some characteristic parameters of the domain-wall dynamics such as the saturation distortion of the magnetization and the critical electric current density, which match with the outcomes of numerical simulations. We discuss the symmetry of these parameters and the domain-wall velocity with respect to the non-adiabatic spin-transfer parameter. In order to solve the equation of motion governing the domain-wall dynamics, we proceed with a method based on the Taylor expansion. This approach allows to avoid the difficulty faced with direct integration of the equation of motion; meanwhile, it leads us to get analytical solutions of the domain-wall motion at different approximation order that match with the corresponding numerical findings.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
