Interference In Transport Through Double Barriers In Tomonaga-Luttinger Quantum Wires

Interference effects of electron tunneling through double barriers in an interactin- g quantum wire are investigated. Interacting quantum wires can be described well within the framework of the Tomonaga-Luttinger liquids.Using the exact Bosonizatio- n method and the Keldysh path-integral approach, an analytic expression for the back- scattering current is obtained. After analyzing the relations of current-bias-voltage in various circumstances, we find there exists interesting Fabry-Perot-like interference phenomena in the I-V characteristics.In chapter 1 we introduce briefly the current research situation and explain why the interference effects in electron tunneling through double barriers in an interacting quantum wire deserve a detailed investigation. As the preparing knowledge, details of the Bosonization method to the one dimensional interacting electron systems are pres- ented in Chapter 2. Chapter 3 is the main part of this work. For actual experimental s- etups, the interacting quantum wires should be connected to two noninteracting electr- on leads acting as electron reservoirs.Therefore we adopt the inhomogeneous Tomon- aga-Luttinger liquids as our starting model. With the help of the Bosonization method and the Keldysh path integral formalism, we obtain analytical expressions of the bac- kscattering current. I ? V relations for Some typical parameters are calculated num- erically, along with the corresponding physical explanations. We find that, the oscilla- tion behaviors of the backscattering current as a function of the bias voltage is mainly dependent on the quantum mechanical interference due to the presence of the double barriers, and the competition between two kinds of the different interference effects results in different scaling relations of I ? V, depending on the interaction parameter. The summary is given in chapter 4,along with a private outlook of such an interesting research field.