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@ARTICLE{Andreas:201875,
      author       = {Andreas, Christian and Gliga, Sebastian and Hertel,
                      Riccardo},
      title        = {{N}umerical micromagnetism of strong inhomogeneities},
      journal      = {Journal of magnetism and magnetic materials},
      volume       = {362},
      issn         = {0304-8853},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {FZJ-2015-04169},
      pages        = {7 - 13},
      year         = {2014},
      abstract     = {The size of micromagnetic structures, such as domain walls
                      or vortices, is comparable to the exchange length of the
                      ferromagnet. Both, the exchange length of the stray field ls
                      and the magnetocrystalline exchange length lk, are
                      material-dependent quantities that usually lie in the
                      nanometer range. This emphasizes the theoretical challenges
                      associated with the mesoscopic nature of micromagnetism: the
                      magnetic structures are much larger than the atomic lattice
                      constant, but at the same time much smaller than the sample
                      size. In computer simulations, the smallest exchange length
                      serves as an estimate for the largest cell size admissible
                      to prevent appreciable discretization errors. This general
                      rule is not valid in special situations where the
                      magnetization becomes particularly inhomogeneous. When such
                      strongly inhomogeneous structures develop, micromagnetic
                      simulations inevitably contain systematic and numerical
                      errors. It is suggested to combine micromagnetic theory with
                      a Heisenberg model to resolve such problems. We analyze
                      cases where strongly inhomogeneous structures pose limits to
                      standard micromagnetic simulations, arising from fundamental
                      aspects as well as from numerical drawbacks.},
      cin          = {PGI-6},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-6-20110106},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000334764500002},
      doi          = {10.1016/j.jmmm.2014.02.097},
      url          = {https://juser.fz-juelich.de/record/201875},
}