Relationship between the transition width and the zigzag wavelength

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Abstract
The stability of a head-to-head domain wall is analyzed and the instability is shown to have a spatial spread on the order of the zigzag wavelength. Accordingly, an idealized zigzag model is proposed and the width of a zigzag wall is related to its wavelength in the absence of an external field. For an externally applied head field the results are shown to coincide with the Williams–Comstock transition width after establishing the relationship between wavelength and head field gradient.

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