Jacob A. J. Burgess, Joseph E. Losby, Mark R. Freeman
A model of the magnetic vortex in a thin disk of soft magnetic material is constructed. The model employs a piecewise merger of two of the most successful analytical models of the vortex state in a disk and is capable of describing the change in the characteristic warping of the magnetization distribution when the vortex core interacts with a magnetic pinning site. The constructed analytical model is compared to numerical simulations of ideal disks with and without pinning sites and is found to accurately predict the magnetization, vortex position, hysteretic transitions, and 2-D displacement of the vortex in the presence of pinning sites.
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http://arxiv.org/abs/1208.3797
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