3d Topological Textures
at Surfaces and Interfaces
Co-located COST and micromagnetism experts' workshop

In 3d space, a large variety of topological textures and defects may exist. These include genuinely 3d textures such as hopfions or Bloch points. Moreover, 3d extensions of lower-dimensional textures and defects comprise, for example, 2d skyrmions becoming skyrmion strings or 2d vortices becoming vortex lines. These 3d extensions benefit from the additional dimension and may form new superstructures or disclose new dynamics. Surfaces and interfaces, natural or engineered, alter the energetic landscape and can act as stabilizing anchor points for 3d textures or as catalysts in the creation process of these. The purpose of this workshop is two-fold:

In part 1, the COST workshop, we discuss the role of surfaces and interfaces in distinct condensed matter systems, and how they enable or hinder the stabilization or creation of 3d topological textures. This role is in general very complex , thus, bringing different viewpoints together in one workshop will highlight the effects of distinct aspects of surfaces/interfaces, may reveal effects that were overlooked so far or shed light from a different angle on a familiar subject.

In part 2, the micromagnetism experts' workshop, we discuss the derivation, implementation, and validation of boundary conditions at surfaces or interfaces in our micromagnetic solvers. The aim here is to validate that our implementations are correct, consistent, and efficient, ready for simulations of 3d magnetic textures which demand for optimized code for ideal hardware and power usage.