Speaker
Description
In the study of chiral magnets through the continuum model with Heisenberg, Dzyaloshinskii-Moriya and potential terms, some explicit energy minimizers are known at specially tuned couplings. Trivially, when DMI and potential vanish, we have solutions from the O(3) sigma model, and less trivially a certain balance of DMI, Zeeman interaction and easy-plane anisotropy leads to a related moduli space of explicit minimizers. Although specialised, these explicit minimizers can be a starting point for further investigation of the chiral magnet at more physically realistic ranges of couplings.
In this talk I discuss a third case of vanishing Heisenberg interaction, with the potential any axisymmetric one, where we not only find infinite-dimensional spaces of static solutions but also infinite-dimensional spaces of dynamic solutions (to the conservative Landau-Lifshitz equation), including breathing and collapsing skyrmions (arxiv:2412.20336). I will review the derivation of these solutions through analogy to fluid dynamics, explore the phase diagram of solutions for different axisymmetric potentials, and discuss the potential of these solutions to help us find periodic solutions and singularity formation away from this limit.
