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@ARTICLE{Kuchkin:885778,
      author       = {Kuchkin, Vladyslav and Barton-Singer, Bruno and Rybakov,
                      Filipp N. and Blügel, Stefan and Schroers, Bernd J. and
                      Kiselev, Nikolai S.},
      title        = {{M}agnetic skyrmions, chiral kinks, and holomorphic
                      functions},
      journal      = {Physical review / B},
      volume       = {102},
      number       = {14},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2020-04081},
      pages        = {144422},
      year         = {2020},
      abstract     = {We present a novel approach to understanding the
                      extraordinary diversity of magnetic skyrmion solutions. Our
                      approach combines an original classification scheme with
                      efficient analytical and numerical methods. We introduce the
                      concept of chiral kinks to account for regions of disfavored
                      chirality in spin textures, and classify two-dimensional
                      magnetic skyrmions in terms of closed domain walls carrying
                      such chiral kinks. In particular, we show that the
                      topological charge of magnetic skyrmions can be expressed in
                      terms of the constituent closed domain walls and chiral
                      kinks. Guided by our classification scheme, we propose a
                      method for creating hitherto unknown magnetic skyrmions
                      which involves initial spin configurations formulated in
                      terms of holomorphic functions and subsequent numerical
                      energy minimization. We numerically study the stability of
                      the resulting magnetic skyrmions for a range of external
                      fields and anisotropy parameters, and provide quantitative
                      estimates of the stability range for the whole variety of
                      skyrmions with kinks. We show that the parameters limiting
                      this range can be well described in terms of the relative
                      energies of particular skyrmion solutions and isolated
                      stripes with and without chiral kinks.},
      cin          = {IAS-1 / PGI-1 / JARA-FIT / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-1-20090406 / I:(DE-Juel1)PGI-1-20110106 /
                      $I:(DE-82)080009_20140620$ / $I:(DE-82)080012_20140620$},
      pnm          = {142 - Controlling Spin-Based Phenomena (POF3-142) / 143 -
                      Controlling Configuration-Based Phenomena (POF3-143)},
      pid          = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-143},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000577208700004},
      doi          = {10.1103/PhysRevB.102.144422},
      url          = {https://juser.fz-juelich.de/record/885778},
}