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

9712391马斯顿，这位年轻的理论家正在从nyi奖过渡到常规节目。他提议在强关联电子问题的各个方面开展工作。在主题上，选定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，通过隧穿进行电荷转移，导致最终产品中电荷物种的分布。PI使用1/N展开(N是表面态电子的简并)成功地处理了相干损失和强库仑排斥之间的相互作用，发现与实验很好地吻合。他正计划扩展到更高的阶数，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被支持去解决两个不同的问题。作为一名科学家，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。在另一项拨款中，他一直在研究原子-表面碰撞中离子产生的许多身体方面。在这笔新的拨款中，他提议开始一些新领域的研究，如量子点。这笔拨款将他的不同研究计划结合在一起。***

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. ***