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@ARTICLE{Freimuth:810311,
      author       = {Freimuth, Frank and Blügel, Stefan and Mokrousov, Yuriy},
      title        = {{T}he inverse thermal spin–orbit torque and the relation
                      of the {D}zyaloshinskii–{M}oriya interaction to
                      ground-state energy currents},
      journal      = {Journal of physics / Condensed matter},
      volume       = {28},
      number       = {31},
      issn         = {1361-648X},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2016-03162},
      pages        = {316001},
      year         = {2016},
      abstract     = {Using the Kubo linear-response formalism we derive
                      expressions to calculate the electronic contribution to the
                      heat current generated by magnetization dynamics in
                      ferromagnetic metals with broken inversion symmetry and
                      spin–orbit interaction (SOI). The effect of producing heat
                      currents by magnetization dynamics constitutes the Onsager
                      reciprocal of the thermal spin–orbit torque (TSOT), i.e.
                      the generation of torques on the magnetization due to
                      temperature gradients. We find that the energy current
                      driven by magnetization dynamics contains a contribution
                      from the Dzyaloshinskii–Moriya interaction (DMI), which
                      needs to be subtracted from the Kubo linear response of the
                      energy current in order to extract the heat current. We show
                      that the expressions of the DMI coefficient can be derived
                      elegantly from the DMI energy current. Guided by formal
                      analogies between the Berry phase theory of DMI on the one
                      hand and the modern theory of orbital magnetization on the
                      other hand we are led to an interpretation of the latter in
                      terms of energy currents as well. Based on ab initio
                      calculations we investigate the electronic contribution to
                      the heat current driven by magnetization dynamics in Mn/W(0
                      0 1) magnetic bilayers. We predict that fast domain walls
                      drive strong heat currents.},
      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) /
                      Magnetic Anisotropy of Metallic Layered Systems and
                      Nanostructures $(jiff13_20131101)$},
      pid          = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-143 /
                      $G:(DE-Juel1)jiff13_20131101$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000378325200010},
      pubmed       = {pmid:27301682},
      doi          = {10.1088/0953-8984/28/31/316001},
      url          = {https://juser.fz-juelich.de/record/810311},
}