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On the current-induced domain-wall dynamics

  • Regular Article – Nonlinear Dynamics
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Abstract

In this paper, we study the dynamics of a 180\(^{\circ }\) 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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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.]

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Funding

No funding was received for conducting this study.

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Authors and Affiliations

  1. Pure Physics Laboratory: Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala, 24157, Douala, Cameroon

    Maturine Megne Foham, Paul André Paglan & Jean Pierre Nguenang

  2. National Committee for Development of Technologies (CNDT), Ministry of Scientific Research and Innovation, 1457, Yaounde, Cameroon

    Paul André Paglan

  3. The Abdus Salam ICTP, Strada Costiera, 11, 34151, Trieste, Italy

    Jean Pierre Nguenang

Authors
  1. Maturine Megne Foham
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  2. Paul André Paglan
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Contributions

P and N conceived this study. MF and P implemented the methods. MF, P and N analyzed the results and wrote the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Paul André Paglan.

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Megne Foham, M., Paglan, P.A. & Nguenang, J.P. On the current-induced domain-wall dynamics. Eur. Phys. J. D 77, 92 (2023). https://doi.org/10.1140/epjd/s10053-023-00669-7

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  • DOI: https://doi.org/10.1140/epjd/s10053-023-00669-7

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