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@ARTICLE{Brinker:878397,
      author       = {Brinker, Sascha and dos Santos Dias, Manuel and Lounis,
                      Samir},
      title        = {{P}rospecting chiral multisite interactions in prototypical
                      magnetic systems},
      journal      = {Physical review research},
      volume       = {2},
      number       = {3},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2020-02833},
      pages        = {033240},
      year         = {2020},
      abstract     = {Atomistic spin models have found enormous success in
                      addressing the properties of magnetic materials, grounded on
                      the identification of the relevant underlying magnetic
                      interactions. For instance, the huge development in the
                      field of magnetic skyrmions and other noncollinear magnetic
                      structures is largely due to our understanding of the chiral
                      Dzyaloshinskii-Moriya interaction. Recently, various works
                      have proposed new types of chiral interactions, with
                      seemingly different forms, but the big picture is still
                      missing. Here, we present a systematic construction of a
                      generalized spin model containing isotropic and chiral
                      multisite interactions. These are motivated by a microscopic
                      model that incorporates local spin moments and the
                      spin-orbit interaction, and their symmetry properties are
                      established. We show that the chiral interactions arise
                      solely from the spin-orbit interaction and that the
                      multisite interactions do not have to follow Moriya's rules,
                      unlike the Dzyaloshinskii-Moriya and chiral biquadratic
                      interactions. The chiral multisite interactions do not
                      vanish as a result of inversion symmetry and comply with a
                      generalized Moriya rule: If all sites connected by the
                      interaction lie in the same mirror plane, the chiral
                      interaction vector must be perpendicular to this plane. We
                      then illustrate our theoretical considerations with density
                      functional theory calculations for prototypical magnetic
                      systems. These are triangular trimers built out of Cr, Mn,
                      Fe, and Co adatoms on the Re(0001), Pt(111), and Au(111)
                      surfaces, for which C3v symmetry applies, and Cr and Fe
                      square tetramers on Pt(001) with C4v symmetry. The multisite
                      interactions are substantial in magnitude and cannot be
                      neglected when comparing the energy of different magnetic
                      structures. Finally, we discuss the recent literature in
                      light of our findings and clarify several unclear or
                      confusing points.},
      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) /
                      First-principles investigation of long range effects in
                      magnetic nanostructures $(jias1c_20171101)$},
      pid          = {G:(DE-HGF)POF3-142 / $G:(DE-Juel1)jias1c_20171101$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000604150000008},
      doi          = {10.1103/PhysRevResearch.2.033240},
      url          = {https://juser.fz-juelich.de/record/878397},
}