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Existing data for soft magnetic materials of critical current for domain-wallmotion, wall speed driven by a magnetic field, and wall electrical resistance,show that all three observable properties are related through a singleparameter: the wall mobility $\mu$. The reciprocal of $\mu$ represents thestrength of viscous friction between domain wall and conduction-electron gas.And $\mu$ is a function of the wall width, which depends in turn on the aspectratio t/w, where t and w are the thickness and width of the sample. Over fourorders of magnitude of $\mu$, the data for nanowires show $\mu\propto(t/w)^{-2.2}$. This dependence is in approximate agreement with the predictionof the 1984 Berger theory based on s-d exchange. On the other hand, it isinconsistent with the prediction of the 2004 Tatara and Kohno theory, and ofthe 2004 Zhang and Li theory.Comment: 7 pages, 1 figure; submitted to Phys. Rev.

Analysis of measured transport properties of domain walls in magnetic nanowires and films