Abstract
Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone. In particular, the non-Markovian dynamics of quantum dot molecule plays an important role in the nonequilibrium electron tunneling processes. It is thus necessary to understand the non-Markovian full counting statistics in a quantum dot molecule. Here we study the non-Markovian full counting statistics in two typical quantum dot molecules, namely, serially coupled and side-coupled double quantum dots with high quantum coherence in a certain parameter regime. We demonstrate that the non-Markovian effect manifests itself through the quantum coherence of the quantum dot molecule system, and has a significant impact on the full counting statistics in the high quantum-coherent quantum dot molecule system, which depends on the coupling of the quantum dot molecule system with the source and drain electrodes. The results indicated that the influence of the non-Markovian effect on the full counting statistics of electron transport, which should be considered in a high quantum-coherent quantum dot molecule system, can provide a better understanding of electron transport through quantum dot molecules.
Highlights
Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone
We demonstrate that the non-Markovian effect manifests itself through the quantum coherence of the quantum dot molecule system, and has a significant impact on the full counting statistics in the high quantum-coherent quantum dot molecule system, which depends on the coupling of the quantum dot molecule system with the source and drain electrodes
It is demonstrated that the non-Markovian effect manifests itself through the quantum coherence of the considered quantum dots (QDs) molecule system, and has a significant impact on the FCS in the high quantum-coherent QD molecule system, which depends on the coupling of the considered QD molecule system with the incident and outgoing electrodes
Summary
Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone. The shot noise measurements can be used to probe the dynamical in an open double quantum dots (QDs)[11], the coherent coupling between serially coupled QDs12, the evolution of the Kondo effect in a QD13, and the conduction channels of quantum conductors[14]. Theoretical studies have demonstrated that the high-order cumulants, e.g., the shot noise, the skewness, are more sensitive to the quantum coherence than the average current in the different types of QD systems[12,34,35,36,37,38] and the quantum coherence information in a side-coupled double QD system can be extracted from the high-order current cumulants[35]. It is necessary to consider the influence of the www.nature.com/scientificreports non-Markovian effect on the full counting statistics of electron transport in a high quantum-coherent single-molecule system
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