Chiral Magnetic Skyrmions with Arbitrary Topological Charge ("skyrmionic sacks")

Abstract

We show that continuous and spin-lattice models of chiral ferro- and antiferromagnets provide the existence of an infinite number of stable soliton solutions of any integer topological charge. A detailed description of the morphology of new skyrmions and the corresponding energy dependencies are provided. The considered model is general, and is expected to predict a plethora of particle-like states which may occur in various chiral magnets including atomic layers, e.g., PdFe/Ir(111), rhombohedral GaV${}_4$S${}_8$ semiconductor, B20-type alloys as Mn${}_{1-x}$Fe${}_x$Ge, Mn${}_{1-x}$Fe${}_x$Si, Fe${}_{1-x}$Co${}_x$Si, Cu${}_2$OSeO${}_3$, acentric tetragonal Heusler compounds.

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• Demonstration of $\mathbb{C}{P}^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model
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