Non-Markovian full counting statistics in quantum dot molecules

TL;DR

This paper investigates how non-Markovian quantum coherence influences electron transport statistics in quantum dot molecules, revealing significant effects that enhance understanding of quantum transport mechanisms.

Contribution

It provides a detailed analysis of non-Markovian full counting statistics in high-coherence quantum dot molecules, highlighting the role of system-electrode coupling.

Findings

Non-Markovian effects significantly impact full counting statistics.

Quantum coherence influences electron transport behavior.

Results improve understanding of quantum dot molecule transport.

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.