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Twisted domain walls and skyrmions in perpendicularly magnetized multilayers
We present an analytical theory to describe three-dimensional magnetic
textures in perpendicularly magnetized magnetic multilayers that arise in the
presence of magnetostatic interactions and the Dzyaloshinskii-Moriya
interaction (DMI). We demonstrate that domain walls in multilayers develop a
complex twisted structure, which persists even for films with strong DMI. The
origin of this twist is surface-volume stray field interactions that manifest
as a depth-dependent effective field whose form mimics the DMI effective field.
We find that the wall twist has a minor impact on the equilibrium skyrmion or
domain size, but can significantly affect current-driven dynamics. Our
conclusions are based on the derived analytical expressions for the
magnetostatic energy and confirmed by micromagnetic simulations.Comment: 30 pages, 8 figure
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