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Figure 8
Magnetic SANS from a linear vortex magnetization state. (a) Cosine-mode intensities of the spin-flip SANS cross section Mathematical equation (log–log scale), illustrating the dominant contributions for Mathematical equation and Mathematical equation, which reflect the azimuthal symmetry of the vortex state. Because the linear vortex includes a uniform magnetization component, very small values of q exhibit a pronounced fourfold angular anisotropy, whereas at intermediate and larger q a twofold anisotropy becomes dominant. (b) Two-dimensional chiral SANS cross section Mathematical equation, cf. equation (14), showing the expected four-lobe antisymmetric pattern associated with the handedness of the vortex. (c) Spin-flip pair-distance distribution function Mathematical equation, demonstrating the oscillatory real-space correlations induced by the curling magnetization. (d) Two-dimensional real-space correlation function Mathematical equation, cf. equation (36), revealing the characteristic positive–negative correlation structure that reflects the axial and azimuthal components of the linear vortex texture.

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