Three-dimensional structure of magnetic skyrmions

Magnetic skyrmions (skyrmions hereafter) are magnetization configurations, whose topological robustness and nanoscale size have led to speculation that they could find use as a next-generation information carrier. Skyrmions been observed in magnetic multilayer materials thin compared the radius of skyrmion, chiral cubic single crystals can be far larger than any characteristic skyrmion scale. In these crystals, one would expect exhibit interesting three-dimensional (3D) characteristics. Here, symmetry micromagnetic free energy is investigated. This permits complex 3D modulation string, which we show requirement coexisting with conical state. We discuss implications this respect Thiele's equation interskyrmion interactions. Further internal modulation, study theoretically experimentally strings themselves must contort towards surfaces their confining crystals.