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@ARTICLE{Brinker:864549,
      author       = {Brinker, Sascha and Dias, Manuel dos Santos and Lounis,
                      Samir},
      title        = {{T}he chiral biquadratic pair interaction},
      journal      = {New journal of physics},
      volume       = {21},
      number       = {8},
      issn         = {1367-2630},
      address      = {[London]},
      publisher    = {IOP73379},
      reportid     = {FZJ-2019-04286},
      pages        = {083015},
      year         = {2019},
      abstract     = {Magnetic interactions underpin a plethora of magnetic
                      states of matter, hence playing a central role both in
                      fundamental physics and for future spintronic and quantum
                      computation devices. The Dzyaloshinskii–Moriya
                      interaction, ${{\bf{D}}}_{{ij}}\cdot ({{\bf{S}}}_{i}\times
                      {{\bf{S}}}_{j})$, being chiral and driven by relativistic
                      effects, leads to the stabilization of highly-noncollinear
                      spin textures such as skyrmions, which thanks to their
                      topological nature are promising building blocks for
                      magnetic data storage and processing elements. Here, we
                      reveal and study a new chiral pair interaction,
                      ${{\bf{C}}}_{{ij}}\cdot ({{\bf{S}}}_{i}\times
                      {{\bf{S}}}_{j})({{\bf{S}}}_{i}\cdot {{\bf{S}}}_{j})$, which
                      is the biquadratic equivalent of the DMI. First, we derive
                      this interaction and its guiding principles from a
                      microscopic model, and we connect the atomistic form to the
                      micromagnetic one. Second, we study its properties in the
                      simplest prototypical systems, magnetic 3d transition metal
                      dimers deposited on the Pt(111), Pt(100), Ir(111), and
                      Re(0001) surfaces, resorting to systematic first-principles
                      calculations. Lastly, we discuss its importance and
                      implications not only for magnetic dimers but also for
                      extended systems, namely one-dimensional spin spirals and
                      complex two-dimensional magnetic structures, such as a
                      nanoskyrmion lattice found in an Fe monolayer on Ir(111).},
      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 single magnetic
                      nano-skyrmions $(jias17_20150501)$ / First-principles
                      investigation of single magnetic nano-skyrmions
                      $(jara0189_20180501)$ / First-principles investigation of
                      long range effects in magnetic nanostructures
                      $(jias1c_20171101)$},
      pid          = {G:(DE-HGF)POF3-142 / $G:(DE-Juel1)jias17_20150501$ /
                      $G:(DE-Juel1)jara0189_20180501$ /
                      $G:(DE-Juel1)jias1c_20171101$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000480395600002},
      doi          = {10.1088/1367-2630/ab35c9},
      url          = {https://juser.fz-juelich.de/record/864549},
}