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@ARTICLE{Boumrar:888884,
      author       = {Boumrar, Hocine and Hamidi, Mahdi and Zenia, Hand and
                      Lounis, Samir},
      title        = {{E}quivalence of wave function matching and {G}reen’s
                      functions methods for quantum transport: generalized
                      {F}isher–{L}ee relation},
      journal      = {Journal of physics / Condensed matter},
      volume       = {32},
      number       = {35},
      issn         = {1361-648X},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2020-05289},
      pages        = {355302},
      year         = {2020},
      abstract     = {We present a proof of an exact equivalence of the two
                      approaches that are most used in computing conductance in
                      quantum electron and phonon transport: the wave function
                      matching and Green's functions methods. We can obtain all
                      the quantities defined in one method starting from those
                      obtained in the other. This completes and illuminates the
                      work started by Ando (1991 Phys. Rev. B 44 8017) and
                      continued later by Khomyakov et al (2005 Phys. Rev. B 72
                      035450). The aim is to allow for solving the transport
                      problem with whichever approach fits most the system at
                      hand. One major corollary of the proven equivalence is our
                      derivation of a generalized Fisher–Lee formula for
                      resolving the transmission function into individual phonon
                      mode contributions. As an illustration, we applied our
                      method to a simple model to highlight its accuracy and
                      simplicity.},
      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)},
      pid          = {G:(DE-HGF)POF3-142},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {32289759},
      UT           = {WOS:000541877200001},
      doi          = {10.1088/1361-648X/ab88f5},
      url          = {https://juser.fz-juelich.de/record/888884},
}