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@ARTICLE{Freimuth:888672,
      author       = {Freimuth, Frank and Blügel, Stefan and Mokrousov, Yuriy},
      title        = {{D}ynamical and current-induced {D}zyaloshinskii-{M}oriya
                      interaction: {R}ole for damping, gyromagnetism, and
                      current-induced torques in noncollinear magnets},
      journal      = {Physical review / B},
      volume       = {102},
      number       = {24},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2020-05107},
      pages        = {245411},
      year         = {2020},
      abstract     = {Both applied electric currents and magnetization dynamics
                      modify the Dzyaloshinskii-Moriya interaction (DMI), which we
                      call current-induced DMI (CIDMI) and dynamical DMI (DDMI),
                      respectively. We report a theory of CIDMI and DDMI. The
                      inverse of CIDMI consists in charge pumping by a
                      time-dependent gradient of magnetization
                      ∂2M(r,t)/∂r∂t, while the inverse of DDMI describes the
                      torque generated by ∂2M(r,t)/∂r∂t. In noncollinear
                      magnets, CIDMI and DDMI depend on the local magnetization
                      direction. The resulting spatial gradients correspond to
                      torques that need to be included into the theories of
                      Gilbert damping, gyromagnetism, and current-induced torques
                      (CITs) in order to satisfy the Onsager reciprocity
                      relations. CIDMI is related to the modification of orbital
                      magnetism induced by magnetization dynamics, which we call
                      dynamical orbital magnetism (DOM), and spatial gradients of
                      DOM contribute to charge pumping. We present applications of
                      this formalism to the CITs and to the torque-torque
                      correlation in textured Rashba ferromagnets.},
      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) /
                      Topological transport in real materials from ab initio
                      $(jiff40_20190501)$ / Topological transport in real
                      materials from ab initio $(jara0062_20130501)$},
      pid          = {G:(DE-HGF)POF3-142 / $G:(DE-Juel1)jiff40_20190501$ /
                      $G:(DE-Juel1)jara0062_20130501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000597137100003},
      doi          = {10.1103/PhysRevB.102.245411},
      url          = {https://juser.fz-juelich.de/record/888672},
}