Electronic Properties of Nanostructures

这是介观物理学领域的一个理论项目。 纳米结构的电子特性将被研究，包括：细线中的超导性。 当导线的横截面小到几平方纳米时，预计导线将失去其超导特性。 将研究这种导线中的临界约瑟夫森电流，以及电流对所施加的相位差的依赖性。 然后，这项研究将扩展到研究超导纳米线的其他特性，包括它们的电流-电压特性。 将与实验进行比较。相互作用的一维电子在量子点接触中的传播。 与传统的Luttinger液体理论不同，这项工作将涉及光滑势垒的散射。 传统的微扰理论和玻色子化技术将被使用。 这项工作有望推进我们对介观系统，特别是半导体异质结构中电子输运的理解，并为最近的实验结果提供理论理解。双势垒共振隧穿结构和超晶格中亚稳态的衰减。 对这些器件的双稳态特性的潜在应用的衰减时间的理解是很重要的。 这项工作将涉及传统的动力学理论技术，如福克-普朗克方程，以及为量子场论问题开发的现代方法。这是介观物理学领域的一个理论项目。 纳米结构的电子特性将被研究。 从基本的角度来看，这是非常重要的，以便理解电子在非常小的结构中的行为。 它也是纳米电子学应用于影响我们日常生活的设备的基础。

This is a theoretical project in the area of mesoscopic physics. The electronic properties of nanoscale structures will be investigated including:Superconductivity in thin wires. When the cross-section of a wire is as small as a few square nanometers, the wire is expected to lose its superconducting properties. The critical Josephson current in such wires will be studied, as well as the dependence of the current on the applied phase difference. The research will then be extended to study other properties of superconducting nanowires, including their current-voltage characteristics. Comparisons will be made to experiments.Propagation of interacting one-dimensional electrons in quantum point contacts. Unlike conventional Luttinger liquid theories, this work will involve scattering off a smooth potential barrier. Both conventional perturbation theory and bosonization techniques will be used. This work is expected to advance our understanding of electron transport in mesoscopic systems, especially semiconductor heterostructures, and provide theoretical understanding of recent experimental results. Decay of metastable states in double barrier resonant tunneling structures and superlattices. The understanding of the decay time is important for potential applications of the bistability features of these devices. This work will involve conventional kinetic theory techniques, such as Fokker-Planck equations, as well as modern approaches developed for quantum field theory problems.%%%This is a theoretical project in the area of mesoscopic physics. The electronic properties of nanoscale structures will be investigated. This is very important from a fundamental perspective in order to understand th ebehavior of electrons in very small structures. It is also at the very foundation of applications of nanoelectronics to devices affecting our everyday life.***