Coherence and Many-Body Phenomena in Nanostructures and in Low Dimensions

纳米结构和低维中的相干性和多体现象

• 批准号: 9712391
• 负责人: John Marston
• 金额: $ 31.4万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-08-01 至 2002-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9712391&HistoricalAwards=false
• 关键词: Coherence; Many; Body; Phenomena; Nanostructures

9712391 Marston This young theorist is making a transition from an NYI award to the regular program. He is proposing work on a variety of aspects of the strongly correlated electron problem. In theme, the chosen topics involve the role of quantum coherence in a quantum many body problem. For example, during the scattering of an atom from a surface, charge transfer takes place by tunneling, leading to a distribution of charge species in the final product. The PI has successfully treated the interplay between the loss of coherence and the strong Coulomb repulsion using a 1/N expansion (N is the degeneracy of electrons in surface states), finding good agreement with the experiments. He is planning an extension to higher orders, to improve the understanding of experiments. Other topics in this project include coherence and enlarged symmetries in quantum nanostructures, exact solutions of plateau problem in integer quantum Hall effect and bosonization approaches to the strongly correlated electron problem in 2 dimensions. %%% This young PI has been supported to work on two different problems. As an NYI, he has been studying the many body problem of strongly interacting electrons, including the properties under strong magnetic fields. In a separate grant, he has been studying the many body aspects of the production of ions in an atom-surface collision. In this new grant, which combines his diverse research program in a single grant, he is proposing to begin study in some new areas such as quantum dots. ***

9712391马斯顿这位年轻的理论家正在从NYI奖过渡到常规计划。 他提出的工作的各个方面的强相关电子的问题。 在主题上，所选的主题涉及量子相干性在量子多体问题中的作用。 例如，在原子从表面散射的过程中，电荷转移通过隧穿发生，导致最终产物中电荷种类的分布。 PI成功地处理了相干性损失和强库仑排斥之间的相互作用，使用1/N展开（N是表面态电子的简并度），找到了与实验良好的一致性。 他正计划将实验扩展到更高阶，以提高对实验的理解。该项目的其他主题包括量子纳米结构中的相干性和扩大的对称性，整数量子霍尔效应中平台问题的精确解以及二维强关联电子问题的玻色化方法。 这位年轻的PI得到了两个不同问题的支持。 作为NYI，他一直在研究强相互作用电子的多体问题，包括强磁场下的性质。 在另一项资助中，他一直在研究原子与表面碰撞中离子产生的许多方面。 在这项新的资助中，他将他的多样化研究计划结合在一项资助中，他提议开始在一些新的领域如量子点进行研究。 ***