Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction

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Davoli, Elisa and Di Fratta, Giovanni and Praetorius, Dirk and Ruggeri, Michele (2022) Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Mathematical Models and Methods in Applied Sciences, 32 (5). pp. 911-939. ISSN 0218-2025 (https://doi.org/10.1142/S0218202522500208)

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Abstract

In this paper, we study the thin-film limit of the micromagnetic energy functional in the presence of bulk Dzyaloshinskii-Moriya interaction (DMI). Our analysis includes both a stationary Γ-convergence result for the micromagnetic energy, as well as the identification of the asymptotic behavior of the associated Landau-Lifshitz-Gilbert equation. In particular, we prove that, in the limiting model, part of the DMI term behaves like the projection of the magnetic moment onto the normal to the film, contributing this way to an increase in the shape anisotropy arising from the magnetostatic self-energy. Finally, we discuss a convergent finite element approach for the approximation of the time-dependent case and use it to numerically compare the original three-dimensional (3D) model with the 2D thin-film limit.

ORCID iDs

Davoli, Elisa, Di Fratta, Giovanni, Praetorius, Dirk and Ruggeri, Michele ORCID logoORCID: https://orcid.org/0000-0001-6213-1602;
  • Item type:Article
    ID code:80585
    Dates:
    Date
    Event
    1 June 2022
    Published
    18 April 2022
    Published Online
    24 January 2022
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:06 May 2022 11:09
    Last modified:11 Nov 2024 13:28
    URI:https://strathprints.strath.ac.uk/id/eprint/80585
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