Workshop 2025: Boundary vortices in ferromagnetic thin films

Session Information

Location: Lecture room Schay
Day: Thursday, 15 May
Time: 09:00 - 09:30
Chairperson: Roger Moser

Presentation Details

Presentation Type: Oral presentation
Title: Boundary vortices in ferromagnetic thin films
Abstract: We consider a three-dimensional ferromagnetic 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.

Presenter

Prof Radu Ignat
Institut de Mathématiques de Toulouse | France

Authors

1. Ignat Radu | Institut de Mathématiques de Toulouse, France
2. Matthias Kurzke | School of Mathematical Sciences. University of Nottingham, UK
3. François L'Official | Institut de Mathématiques de Toulouse, France