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000888884 1001_ $$0P:(DE-HGF)0$$aBoumrar, Hocine$$b0
000888884 245__ $$aEquivalence of wave function matching and Green’s functions methods for quantum transport: generalized Fisher–Lee relation
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000888884 520__ $$aWe present a proof of an exact equivalence of the two approaches that are most used in computing conductance in quantum electron and phonon transport: the wave function matching and Green's functions methods. We can obtain all the quantities defined in one method starting from those obtained in the other. This completes and illuminates the work started by Ando (1991 Phys. Rev. B 44 8017) and continued later by Khomyakov et al (2005 Phys. Rev. B 72 035450). The aim is to allow for solving the transport problem with whichever approach fits most the system at hand. One major corollary of the proven equivalence is our derivation of a generalized Fisher–Lee formula for resolving the transmission function into individual phonon mode contributions. As an illustration, we applied our method to a simple model to highlight its accuracy and simplicity.
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000888884 7001_ $$0P:(DE-HGF)0$$aHamidi, Mahdi$$b1
000888884 7001_ $$0P:(DE-HGF)0$$aZenia, Hand$$b2$$eCorresponding author
000888884 7001_ $$0P:(DE-Juel1)130805$$aLounis, Samir$$b3
000888884 773__ $$0PERI:(DE-600)1472968-4$$a10.1088/1361-648X/ab88f5$$gVol. 32, no. 35, p. 355302 -$$n35$$p355302$$tJournal of physics / Condensed matter$$v32$$x1361-648X$$y2020
000888884 8564_ $$uhttps://juser.fz-juelich.de/record/888884/files/Boumrar_2020_J._Phys.%20_Condens._Matter_32_355302.pdf
000888884 8564_ $$uhttps://juser.fz-juelich.de/record/888884/files/1912.11506.pdf$$yPublished on 2020-06-03. Available in OpenAccess from 2021-06-03.
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