Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction

TL;DR

This paper investigates the waiting time distribution of electron transport in a vibrating molecular junction, revealing how electron-vibration interactions influence microscopic transport mechanisms and statistical properties.

Contribution

It provides an exact treatment of electron-vibration interaction and analyzes how it affects waiting time distributions in molecular junctions, highlighting new insights into nonequilibrium transport.

Findings

Waiting time distribution shows stepwise drops with increasing current.

Vibrational excitations cause these steps in the distribution.

Strong electron-vibration coupling reduces dispersion more significantly.

Abstract

On the elementary level, electronic current consists of individual electron tunnelling events that are separated by random time intervals. The waiting time distribution is a probability to observe the electron transfer in the detector electrode at time $t+\tau$ given that an electron was detected in the same electrode at earlier time $t$. We study waiting time distribution for quantum transport in a vibrating molecular junction. By treating the electron-vibration interaction exactly and molecule-electrode coupling perturbatively, we obtain master equation and compute the distribution of waiting times for electron transport. The details of waiting time distributions are used to elucidate microscopic mechanism of electron transport and the role of electron-vibration interactions. We find that as nonequilibrium develops in molecular junction, the skewness and dispersion of the waiting time distribution experience stepwise drops with the increase of the electric current. These steps are associated with the excitations of vibrational states by tunnelling electrons. In the strong electron-vibration coupling regime, the dispersion decrease dominates over all other changes in the waiting time distribution as the molecular junction departs far away from the equilibrium.