We analyze the topological Hall conductivity experienced by conduction electrons whose spins are
strongly coupled to axially symmetric spin textures, such as magnetic vortex and skyrmion of types
I and II, theoretically by gauge theory, and numerically via micromagnetic simulations. The
numerical results are in agreement with the theoretical predictions. Divergence between the two is
seen when the vortex/skyrmion core radius is comparable or larger than the element size, and when
the skyrmion configuration breaks down at high Dzyaloshinskii-Moriya interaction strength.
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Copyright (2014) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Appl. Phys. 115, 17D107 (2014) and may be found at http://dx.doi.org/10.1063/1.4860060.