Quadratic approximation estimates domain wall width in nanowires, indicating improved accuracy over linear methods.
We considered a quadratic approximation of magnetic moments to calculate the width of a domain wall (DW) of a perpendicularly magnetized nanowire. The calculated DW was compared with the DW estimated by an exact solution for an infinite-length nanowire and a linearly approximated DW. The DW width for the quadratic approximation was approximately equal to the square root of twice the DW width for the linear approximation. The DW energy for the quadratic approximation was less than that for the linear approximation and nearly equal to that for the exact solution.
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Ohno et al. (2023) studied this question.
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