Full Counting Statistics of Strongly Non-Ohmic Transport through Single Molecules

2005/01/31 by Jens Koch, M. E. Raikh, M. É. Raǐkh +1 · 4 citations
Computer Science · Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Quantum Information and Cryptography #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.95.056801

published as Phys. Rev. Lett. 95, 056801 (2005) · 4+ pages, 2 figures; minor changes, version published in Phys. Rev. Lett

openalex publication_date 2005/07/25 · arxiv created 2005/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime--a hierarchical sequence of avalanches of transferred charges, interrupted by "quiet" periods--make the counting statistics strongly non-Gaussian. We support our findings for the counting statistics as well as for the frequency-dependent noise power by numerical simulations, finding excellent agreement.

Citations

• Shot Noise in Mesoscopic Conductors

Cited by

• Effects of charge-dependent vibrational frequencies and anharmonicities in transport through molecules
• Charge transport through single molecules, quantum dots and quantum wires
• Vibrational Coherences in Single Electron Tunneling through Nanoscale Oscillators
• Nonequilibrium charge-Kondo transport through negative-Umolecules

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• Non-Perturbative Electron Counting Statistics
• Counting statistics of charge pumping in an open system
• The Statistical Theory of Mesoscopic Noise
• Full counting statistics of nano-electromechanical systems
• Franck-Condon Blockade and Giant Fano Factors in Transport through Single Molecules