Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom

Details Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom

2009-03-05

arxiv.org/abs/0903.0916v2

Phys. Rev. B 80, 041307(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version

Scientific paper

10.1103/PhysRevB.80.041307

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to a local Holstein phonon for arbitrary transmission and weak electron-phonon coupling. We identify explicitly the contributions due to quasielastic and inelastic transport processes in the cumulant generating function and discuss their influence on the transport properties of the dot. We find that in the low-energy sector, the inelastic term causes a sign change in the shot noise correction at certain universal values of the transmission. Furthermore, we show that when the correction to the current due to inelastic processes vanishes, all odd order cumulants vanish as well.

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