Theory of the skyrmion, meron, antiskyrmion, and antimeron in chiral magnets

@article{Bera2019TheoryOT,
  title={Theory of the skyrmion, meron, antiskyrmion, and antimeron in chiral magnets},
  author={Sandipan Bera and Sudhansu S. Mandal},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={2019},
  volume={1}
}
We find closed-form solution of the Euler equation for a chiral magnet in terms of a skyrmion or a meron depending on the relative strengths of magnetic anisotropy and magnetic field. We show that the relevant length scales for these solutions primarily depend on the strengths of Dzyaloshinskii-Moriya interaction through its ratios, respectively, with magnetic field and magnetic anisotropy. We thus unambiguously determine the parameter dependencies on the radius of the topological structures… 
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