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马斯顿这个年轻的理论家正在从NYI奖中过渡到常规计划。 他正在提出有关强度相关的电子问题各个方面的工作。 在主题中，所选主题涉及量子相干性在量子许多身体问题中的作用。 例如，在从表面散射原子的过程中，通过隧穿进行电荷转移，从而导致最终产物中电荷物种的分布。 PI已成功地处理了使用1/N扩展（n是地表状态中电子的退化）之间的相干性丧失和强库仑排斥之间的相互作用，从而与实验发现了良好的一致性。 他正在计划扩展到更高订单，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对称性，整数量子霍尔效应中高原问题的精确解决方案以及在2个维度中对强相关的电子问题的隆隆化方法。 这个年轻的PI得到了%% %%，以解决两个不同的问题。 作为NYI，他一直在研究强烈相互作用电子的许多身体问题，包括强磁场下的特性。 在另一笔赠款中，他一直在研究原子表面碰撞中离子生产的许多身体方面。 在将他的多元化研究计划结合在单个赠款中的新赠款中，他提议开始在一些新领域（例如量子点）进行研究。 ***