Inelastic resonant tunneling through single molecules and quantum dots: spectrum modification due to nonequilibrium effects
D.A. Ryndyk, J. Keller

TL;DR
This paper investigates how nonequilibrium effects influence inelastic resonant tunneling through quantum dots and molecules, revealing that spectral functions depend on voltage and require self-consistent calculations.
Contribution
It introduces a nonequilibrium Green function approach to account for voltage-dependent spectral modifications in electron-phonon interacting mesoscopic systems.
Findings
Spectral functions depend on applied voltage.
Inelastic scattering rates are voltage-dependent.
Self-consistent calculations are necessary for accurate spectra.
Abstract
Resonant electron transport through a mesoscopic region (quantum dot or single molecule) with electron-phonon interaction is considered at finite voltage. In this case the standard Landauer-B\"uttiker approach cannot be applied. Using the nonequilibrium Green function method we show that due to a nonequilibrium distribution function of electrons in the mesoscopic region, the inelastic scattering rate and spectral function of the dot become functions of the voltage and have to be calculated self-consistently.
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