TY  - JOUR
AU  - Boumrar, Hocine
AU  - Hamidi, Mahdi
AU  - Zenia, Hand
AU  - Lounis, Samir
TI  - Equivalence of wave function matching and Green’s functions methods for quantum transport: generalized Fisher–Lee relation
JO  - Journal of physics / Condensed matter
VL  - 32
IS  - 35
SN  - 1361-648X
CY  - Bristol
PB  - IOP Publ.
M1  - FZJ-2020-05289
SP  - 355302
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - 32289759
UR  - <Go to ISI:>//WOS:000541877200001
DO  - DOI:10.1088/1361-648X/ab88f5
UR  - https://juser.fz-juelich.de/record/888884
ER  -