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

2009/03/31 by Thomas L. Schmidt, T. L. Schmidt, A. Komnik · 7 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Charge (physics) #Condensed matter physics #Coupling (piping) #Cumulant #Degrees of freedom (physics and chemistry) #Graphene research and applications #Materials science #Mathematics #Molecular Junctions and Nanostructures #Optics #Phonon #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Shot noise #Statistics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.80.041307

published as Phys. Rev. B 80, 041307(R) (2009) · published version

openalex publication_date 2009/07/14 · arxiv created 2009/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the full counting statistics 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, i.e., for bias voltage and phonon frequency much smaller than the dot-electrode contact transparency, 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 the odd order cumulants vanish as well.

Citations

• Electron counting statistics and coherent states of electric current
• Full Counting Statistics of Multiple Andreev Reflections
• Vibration-induced correction to the current through a single molecule
• Full Counting Statistics of Strongly Non-Ohmic Transport through Single Molecules
• Inelastic Electron Tunneling via Molecular Vibrations in Single-Molecule Transistors
• Modeling inelastic phonon scattering in atomic- and molecular-wire junctions
• Highly Conductive Molecular Junctions Based on Direct Binding of Benzene to Platinum Electrodes
• Franck-Condon Blockade and Giant Fano Factors in Transport through Single Molecules
• Inelastic tunneling effects on noise properties of molecular junctions
• The Kondo Effect in C60 Single-Molecule Transistors

Cited by

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• A quasi-classical mapping approach to vibrationally coupled electron transport in molecular junctions
• Effect of broadening in the weak-coupling limit of vibrationally coupled electron transport through molecular junctions and the analogy to quantum dot circuit QED systems
• Transient dynamics and steady state behavior of the Anderson–Holstein model with a superconducting lead
• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Short-time dynamics of molecular junctions after projective measurement
• Transport statistics of interacting double dot systems: Coherent and non-Markovian effects