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Three-dimensional skyrmion states in thin films of cubic helimagnets

Three-dimensional skyrmion states in thin films of cubic helimagnets

A direct three-dimensional minimization of the standard energy functional shows that in thin films of cubic helimagnets, chiral skyrmions are modulated along three spatial directions. The structure of such three-dimensional skyrmions can be thought of as a superposition of conical modulations along the skyrmion axis and double-twist rotation in the …