Resonant inelastic tunneling in molecular junctions

Michael Galperin, Abraham Nitzan, Mark A Ratner

Research output: Contribution to journalArticle

160 Citations (Scopus)

Abstract

Within a phonon-assisted resonance level model we develop a self-consistent procedure for calculating electron transport currents in molecular junctions with intermediate to strong electron-phonon interaction. The scheme takes into account the mutual influence of the electron and phonon subsystems. It is based on the second order cumulant expansion, used to express the correlation function of the phonon shift generator in terms of the phonon momentum Green function. Equation of motion (EOM) method is used to obtain an approximate analog of the Dyson equation for the electron and phonon Green functions in the case of many-particle operators present in the Hamiltonian. To zero order it is similar in particular cases (empty or filled bridge level) to approaches proposed earlier. The importance of self-consistency in resonance tunneling situations (partially filled bridge level) is stressed. We confirm, even for strong vibronic coupling, a previous suggestion concerning the absence of phonon sidebands in the current versus gate voltage plot when the source-drain voltage is small [Mitra, Phys. Rev. B 69, 245302 (2004)].

Original languageEnglish
Article number045314
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number4
DOIs
Publication statusPublished - 2006

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Green's function
Hamiltonians
Electron-phonon interactions
Electrons
Electric potential
Green's functions
mitra
Equations of motion
Mathematical operators
Momentum
electrons
electric potential
electron phonon interactions
sidebands
suggestion
equations of motion
generators
plots
analogs
momentum

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Resonant inelastic tunneling in molecular junctions. / Galperin, Michael; Nitzan, Abraham; Ratner, Mark A.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 73, No. 4, 045314, 2006.

Research output: Contribution to journalArticle

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