Quantum transport of energetic electrons in ballistic nanostructures

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Hu, Hsiu-Lien
Cosby, Ronald M.
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Thesis (M.S.)
Department of Physics and Astronomy
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The various electronic phenomena of electrons in the quasi-one-dimensional semiconducotor heterostructures have been largely investigated in the past research, due to its importance both on the theoretical understanding and the design of nanodevices. In particular, most research is currently based on the GaAs-AIGaAs material system with a 2-DEG interface. From the study of Hua Wu, following the Bohm's interpretation of quantum mechanics, energetic electrons approximately approach the classical behavior. The goal of this theoretical study is to investigate how the flow of energetic electrons may be controlled by the use of a tunable reflector. When encountering hard potential walls, energetic electrons in the nanostructure nearly follow the law of reflection. In addition, if the hard potential walls function as a reflector, the bouncing ball trajectory is also predicted. In this project, the fact that energetic electrons demonstrate semi-classical periodical flow motion is conceptually verified.The quantum wire (QW) with a tab and a notch nanostructure is selected as the practical model to achieve the project's goal. The resonant properties of the QW with a tab and the QW with a notch are individually investigated. The tight-binding recursive Green's function method is the theory underlying the numerical computation of the conductance in a nanodevice.