Schematic spin texture for skyrmions resulting from isotropic (a) Néel and (b) Bloch DMI tensor components, and anti-skyrmions originating from anisotropic (c)Néel and (d) Bloch DMI tensor components. The red (blue) color of the arrows denotes the direction of the local magnetic moment along + ez (− ez) direction.

Schematic spin texture for skyrmions resulting from isotropic (a) Néel and (b) Bloch DMI tensor components, and anti-skyrmions originating from anisotropic (c)Néel and (d) Bloch DMI tensor components. The red (blue) color of the arrows denotes the direction of the local magnetic moment along + ez (− ez) direction.

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We present a Greens function approach to calculate the Dzyaloshinskii-Moriya interactions (DMI) from first principles electronic structure calculations, that is computationally more efficient and accurate than the most-commonly employed supercell and generalized Bloch-based approaches. The method is applied to the (111) Co/Pt bilayer where the Co-...

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... which in turn give rise to different types of skyrmions. In Figs. 1(a) and (b) we show the Néel and Bloch type skyrmions, respectively, corresponding to the isotropic Néel and Bloch DMIs. On the other hand, as dispayed in Figs. 1(c) and (d), the anisotropic and Néel Bloch DMIs, [66] which originate from the anisotropy in the planar crystal structure give rise to anti-skyrmions [67] that are related to ...