Full Counting Statistics Of Electron Transport Through Coupled Double Quantum Dots

In recent years, the shot noises of the quantum transport through a mesoscopic system have attracted much attention because the shot noises not only show the transport properties of the system, but also reveal the internal energy level structure of the transport system and may be used to detect the entangled states. In the thesis, first, we introduce the concept and properties of the quantum dots and coupled system of them, including some important effects, such as the quantum confinement effect, the quantum tunnel effect, Coulomb blockade and so on, and the experimental and theoretical results of the coupled double quantum dots at recent year. Then, we introduce the quantum master equation method and its application in the full counting statistics of the electron transport through a mesoscopic system. Finally, we study the quantum transport through the coupled double quantum dots by the full counting statistics based on the particle-number-resolved quantum master equation. For different bias, the different interdot interaction and the different couple between the quantum dots and the leads, we investigate the acumulant of full counting statistics of the electron transport through double quantum dots. The average current, shot noise, and skewness are shown as the function of the bias voltage, and the effect of the various parameters on the acumulant is discussed. The numerical results indicate that the current steps depend on the level structure of the effective transport channels. The coupling between two quantum dots and between the quantum dots with the electrodes determine the transport characteristics and shot noise. For a given coupling between two quantum dots, the negative differential conductance and super-Poissonian shot noises occur when the ratio of the coupling of the quantum dots with the incident- and outgoing-electrode is less than the certain critical value.