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@ARTICLE{Go:884852,
      author       = {Go, Dongwook and Freimuth, Frank and Hanke, Jan-Philipp and
                      Xue, Fei and Gomonay, Olena and Lee, Kyung-Jin and Blügel,
                      Stefan and Haney, Paul M. and Lee, Hyun-Woo and Mokrousov,
                      Yuriy},
      title        = {{T}heory of current-induced angular momentum transfer
                      dynamics in spin-orbit coupled systems},
      journal      = {Physical review research},
      volume       = {2},
      number       = {3},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2020-03289},
      pages        = {033401},
      year         = {2020},
      abstract     = {Motivated by the importance of understanding various
                      competing mechanisms to the current-induced spin-orbit
                      torque on magnetization in complex magnets, we develop a
                      theory of current-induced spin-orbital coupled dynamics in
                      magnetic heterostructures. The theory describes angular
                      momentum transfer between different degrees of freedom in
                      solids, e.g., the electron orbital and spin, the crystal
                      lattice, and the magnetic order parameter. Based on the
                      continuity equations for the spin and orbital angular
                      momenta, we derive equations of motion that relate spin and
                      orbital current fluxes and torques describing the transfer
                      of angular momentum between different degrees of freedom,
                      achieved in a steady state under an applied external
                      electric field. We then propose a classification scheme for
                      the mechanisms of the current-induced torque in magnetic
                      bilayers. We evaluate the sources of torque using density
                      functional theory, effectively capturing the impact of the
                      electronic structure on these quantities. We apply our
                      formalism to two different magnetic bilayers, Fe/W(110) and
                      Ni/W(110), which are chosen such that the orbital and spin
                      Hall effects in W have opposite sign and the resulting spin-
                      and orbital-mediated torques can compete with each other. We
                      find that while the spin torque arising from the spin Hall
                      effect of W is the dominant mechanism of the current-induced
                      torque in Fe/W(110), the dominant mechanism in Ni/W(110) is
                      the orbital torque originating in the orbital Hall effect of
                      the nonmagnetic substrate. Thus, the effective spin Hall
                      angles for the total torque are negative and positive in the
                      two systems. Our prediction can be experimentally identified
                      in moderately clean samples, where intrinsic contributions
                      dominate. This clearly demonstrates that our formalism is
                      ideal for studying the angular momentum transfer dynamics in
                      spin-orbit coupled systems as it goes beyond the “spin
                      current picture” by naturally incorporating the spin and
                      orbital degrees of freedom on an equal footing. Our
                      calculations reveal that, in addition to the spin and
                      orbital torque, other contributions such as the interfacial
                      torque and self-induced anomalous torque within the
                      ferromagnet are not negligible in both material systems.},
      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) /
                      Topological transport in real materials from ab initio
                      $(jiff40_20190501)$},
      pid          = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-143 /
                      $G:(DE-Juel1)jiff40_20190501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000604182200001},
      doi          = {10.1103/PhysRevResearch.2.033401},
      url          = {https://juser.fz-juelich.de/record/884852},
}