96 citations · 100 across the 4 of their papers we have counts for
4 papers
Magnetic hopfions in solids
F. N. Rybakov, N. S. Kiselev, A. B. Borisov +3
Hopfions are an intriguing class of string-like solitons, named according to a classical topological concept classifying three-dimensional direction fields. The search of hopfions…
Compactness results for static and dynamic chiral skyrmions near the conformal limit
Lukas Döring, Christof Melcher
We examine lower order perturbations of the harmonic map prob- lem from to including chiral interaction in form of a helicity term that prefers modula…
Asymmetric domain walls of small angle in soft ferromagnetic films
Lukas Döring, Radu Ignat
We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free -valued transition laye…
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
Lukas Döring, Radu Ignat, Felix Otto
We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called "domain walls" -- in soft ferromagnetic films. Domain walls separate domains of constan…