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

Author: WangShaoQin
Tutor: ZengChaoYang
School: Jiangxi Normal University
Course: Theoretical Physics
Keywords: Tomonaga-Luttinger liquid Interacting quantum wire Bosonization Keldysh path integral Backscattered current Andreev reflection class Quantum mechanics interference
CLC: O431.2
Type: Master's thesis
Year: 2010
Downloads: 22
Quote: 0
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Abstract


This paper studies the one-dimensional interacting electron tunneling double barrier quantum wire interference effects . One -dimensional interacting quantum wire can be used to describe the Tomonaga-Luttinger liquids . Bose through accurate method and Kel-dysh path integral theory, we got backscattered current analytical expression . Through the current - voltage characteristics analysis, we found the presence of such systems in a similar Fabry - Baltic interference is interesting . The first chapter is introductory part briefly describes the research background and why to study a one-dimensional interacting electron tunneling double barrier quantum wire in the interference effects . The second chapter describes the process one -dimensional interacting electron systems commonly used bosonization approach. Chapter 3 describes the work we do . By introducing a non-uniform Tomonaga-Luttinger liquid model to describe the adiabatic connect to two non-interacting electronic library containing double barrier quantum wire interacting by means of Bose Keldysh path integral method and theory , access to the backscattering current analytical expression . And based on the current numerical expression of several typical case current - voltage relationship, and gives the corresponding physical interpretation . We found backscattered current with voltage oscillation behavior is mainly determined the presence of the double barrier quantum interference effects . Interference effect of several competing interactions result in a different intensity, different current and voltage scaling relation . In the fourth chapter, a summary of our text , and the prospects for the development of this field of research carried out some prospects .

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CLC: > Mathematical sciences and chemical > Physics > Optics > The light nature of the theory > Quantum optics
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