This title appears in the Scientific Report :
2020
Please use the identifier:
http://dx.doi.org/10.1088/1361-648X/ab88f5 in citations.
Please use the identifier: http://hdl.handle.net/2128/26567 in citations.
Equivalence of wave function matching and Green’s functions methods for quantum transport: generalized Fisher–Lee relation
Equivalence of wave function matching and Green’s functions methods for quantum transport: generalized Fisher–Lee relation
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...
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Personal Name(s): | Boumrar, Hocine |
---|---|
Hamidi, Mahdi / Zenia, Hand (Corresponding author) / Lounis, Samir | |
Contributing Institute: |
Quanten-Theorie der Materialien; IAS-1 JARA - HPC; JARA-HPC JARA-FIT; JARA-FIT Quanten-Theorie der Materialien; PGI-1 |
Published in: | Journal of physics / Condensed matter, 32 (2020) 35, S. 355302 |
Imprint: |
Bristol
IOP Publ.
2020
|
DOI: |
10.1088/1361-648X/ab88f5 |
Document Type: |
Journal Article |
Research Program: |
Controlling Spin-Based Phenomena |
Link: |
Get full text Published on 2020-06-03. Available in OpenAccess from 2021-06-03. |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/26567 in citations.
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. |