Abstract
In this work, the waiting time distribution (WTD) statistics of electron transport through a two-channel quantum system in a strong Coulomb blockade regime and non-interacting dots are investigated by employing a particle-number resolved master equation with the Born–Markov approximation. The results show that the phase difference between the two channels, the asymmetry of the dot-state couplings to the left and right electrodes, and Coulomb repulsion have obvious effects on the WTD statistics of the system. In a certain parameter range, the system manifests the coherent oscillatory behavior of WTDs in the strong Coulomb blockade regime, and the phase difference between the two channels is clearly reflected in the oscillation phase of the WTDs. The two-channel quantum dot (QD) system for non-interacting dots manifests nonrenewal characteristics, and the electron waiting time of the system is negatively correlated. The different phase differences between the two channels can clearly enhance the negative correlation. These results deepen our understanding of the WTD statistical properties of electron transport through a mesoscopic QD system and help pave a new path toward constructing nanostructured QD electronic devices.
Highlights
Tunable physical quantities in a quantum dot (QD), such as the effective Coulomb energy, the tunneling probability, energy levels, electron spin, and the electron number in QD, have created the possibility to actively control the properties of electronic transport via quantum dots
An experimental demonstration was reported using two graphene double quantum dots (DQDs) coupled through a microwave resonator; it is thought that this setup can be used to entangle macroscopically separated electron transport and has applications in nanoscale quantum information processing [1]
The difference between single and multiple reset QD systems is that in single reset systems, the dot is empty after an electron tunnels out, whereas in a multiple reset system, the dot is empty only after a certain number of electrons has tunneled out
Summary
Tunable physical quantities in a quantum dot (QD), such as the effective Coulomb energy, the tunneling probability, energy levels, electron spin, and the electron number in QD, have created the possibility to actively control the properties of electronic transport via quantum dots. Wang et al studied the effects of quantum interference and phase accumulations on the FCS of the electronic transport through a Coulomb blockade system with two identical transport channels, which can be realized by transport through two adjacent levels in a single QD or through two QDs in parallel [27] This is of particular interest because this system is an analog of an optical double-slit interferometer.
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