Domain wall propagation in modulated-diameter cylindrical nanowires is a key phenomenon to bestudied with a view to designing three-dimensional magnetic memory devices. This paper presentsa theoretical study of transverse domain wall behavior under the infuence of a magnetic feldwithin a cylindrical nanowire with diameter modulations. In particular, domain wall pinning closeto the diameter modulation was quantifed, both numerically, using fnite element micromagneticsimulations, and analytically. Qualitative analytical model for gently sloping modulations resulted in asimple scaling law which may be useful to guide nanowire design when analyzing experiments. It showsthat the domain wall depinning feld value is proportional to the modulation slope.
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