Speaker
Description
We study minimizers of a reduced micromagnetic energy functional under prescribed unit topological degree. This model arises in thin ferromagnetic films with Dzyaloshinskii-Moriya interaction and easy-plane anisotropy, where these minimizers represent bimeron configurations. We prove their existence, and describe them precisely as perturbations of specific Möbius maps: we establish in particular that they are localized at a logarithmic scale. The proof follows a strategy introduced by Bernand-Mantel, Muratov and Simon(Arch. Ration. Mech. Anal., 2021) for a similar model with easy-axis anisotropy, but requires several adaptations to deal with the less coercive easy-plane anisotropy and different symmetry properties.
This is a joint work with R. Ignat and X. Lamy.