Renormalised energy between boundary vortices in thin-film micromagnetics with Dzyaloshinskii-Moriya interaction - Archive ouverte HAL
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2025

Renormalised energy between boundary vortices in thin-film micromagnetics with Dzyaloshinskii-Moriya interaction

Résumé

We consider a three-dimensional micromagnetic model with Dzyaloshinskii-Moriya interaction in a thin-film regime for boundary vortices. In this regime, we prove a dimension reduction result: the nonlocal three-dimensional model reduces to a local two-dimensional Ginzburg-Landau type model in terms of the averaged magnetization in the thickness of the film. This reduced model captures the interaction between boundary vortices (so-called renormalised energy), that we determine by a Γ-convergence result at the second order and then we analyse its minimisers. They nucleate two boundary vortices whose position depends on the Dzyaloshinskii-Moriya interaction.
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Dates et versions

hal-04722730 , version 1 (07-10-2024)

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Radu Ignat, François L’official. Renormalised energy between boundary vortices in thin-film micromagnetics with Dzyaloshinskii-Moriya interaction. Nonlinear Analysis: Theory, Methods and Applications, 2025, 250, pp.113622. ⟨10.1016/j.na.2024.113622⟩. ⟨hal-04722730⟩
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