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@ARTICLE{Guimares:863882,
      author       = {Guimarães, Filipe S M and Suckert, J René and Chico,
                      Jonathan and Bouaziz, Juba and dos Santos Dias, Manuel and
                      Lounis, Samir},
      title        = {{C}omparative study of methodologies to compute the
                      intrinsic {G}ilbert damping: interrelations, validity and
                      physical consequences},
      journal      = {Journal of physics / Condensed matter Condensed matter},
      volume       = {31},
      number       = {25},
      issn         = {1361-648X},
      address      = {Bristol},
      publisher    = {IOP Publ.80390},
      reportid     = {FZJ-2019-03853},
      pages        = {255802},
      year         = {2019},
      abstract     = {Relaxation effects are of primary importance in the
                      description of magnetic excitations, leading to a myriad of
                      methods addressing the phenomenological damping parameters.
                      In this work, we consider several well-established forms of
                      calculating the intrinsic Gilbert damping within a unified
                      theoretical framework, mapping out their connections and the
                      approximations required to derive each formula. This scheme
                      enables a direct comparison of the different methods on the
                      same footing and a consistent evaluation of their range of
                      validity. Most methods lead to very similar results for the
                      bulk ferromagnets Fe, Co and Ni, due to the low spin–orbit
                      interaction (SOI) strength and the absence of the spin
                      pumping mechanism. The effects of inhomogeneities,
                      temperature and other sources of finite electronic lifetime
                      are often accounted for by an empirical broadening of the
                      electronic energy levels. We show that the contribution to
                      the damping introduced by this broadening is additive, and
                      so can be extracted by comparing the results of the
                      calculations performed with and without SOI. Starting from
                      simulated ferromagnetic resonance spectra based on the
                      underlying electronic structure, we unambiguously
                      demonstrate that the damping parameter obtained within the
                      constant broadening approximation diverges for
                      three-dimensional bulk magnets in the clean limit, while it
                      remains finite for monolayers. Our work puts into
                      perspective the several methods available to describe and
                      compute the Gilbert damping, building a solid foundation for
                      future investigations of magnetic relaxation effects in any
                      kind of material.},
      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) /
                      Dynasore - Dynamical magnetic excitations with spin-orbit
                      interaction in realistic nanostructures (681405) /
                      Theoretical investigation of spin and charge dynamics in
                      nanostructures $(jias15_20161101)$},
      pid          = {G:(DE-HGF)POF3-142 / G:(EU-Grant)681405 /
                      $G:(DE-Juel1)jias15_20161101$},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:30897560},
      UT           = {WOS:000464185900001},
      doi          = {10.1088/1361-648X/ab1239},
      url          = {https://juser.fz-juelich.de/record/863882},
}