Non-Markovian full counting statistics of cotunneling assisted sequential tunneling in a side-coupled double quantum dot system

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 109; pp. 39 - 51
• Main Authors: Xue, Hai-Bin, Liang, Jiu-Qing, Liu, Wu-Ming
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.05.2019
• Subjects: Cotunneling assisted sequential tunneling; Non-Markovian full counting statistics; Open quantum systems; Cotunneling assisted sequential tunneling; Open quantum systems; Non-Markovian full counting statistics
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2018.12.036

We study the influences of the quantum coherence and the cotunneling processes on the non-Markovian full counting statistics (FCS) of electron tunneling through a side-coupled double quantum-dot (SCDQD) system weakly coupled to two electron reservoirs. We demonstrate that, for the SCDQD system with strong coherence of the reduced density matrix, in the sequential tunneling regime, the competition or interplay between the quantum coherence and the cotunneling processes determines whether the super-Poissonian shot noise appears or not, and particularly the magnitudes and signs of the skewness and the kurtosis, which characterize the asymmetry of the transferred-electron number and the combined weight of the tails relative to the rest of the probability distribution of the transferred-electron number, respectively. Thus, they provide further information for the FCS beyond the shot noise, and present a deeper insight into understanding of electron tunneling through the SCDQD system. •The FCS of the CAST processes depends on the quantum coherence of quantum system.•The cotunneling plays an important role in determining the FCS of the CAST processes.•The FCS of the CAST processes depends on the temperature and QD-electrode coupling.