Properties of Strongly Correlated and Disordered Electronic Systems

将对低温下的强相关和无序电子系统进行理论研究，主要目的是了解这类系统中的相变和其他集体现象。在美国国家科学基金会的支持下，一个有效的场理论将扩展并应用于具有静态杂质的电子系统的系统处理。具体系统的兴趣包括磁铁与杂质，超导体，和掺杂。方法包括有效场论的构建、重整化群技术和多摄动理论。强相互作用电子系统问题是现代凝聚态物理中的一个重要问题。在过去的几年里，研究人员发现，像金属中的磁性这样的基本问题并没有在基本层面上得到理解，现有的理论方法也不足以获得对问题的深刻理解。这项拨款将着眼于一些与强相互作用电子系统的核心问题相关的问题，并使用和开发各种强大的数学技术来实现这一目标。这个项目的结果将对其他研究物质的电和磁特性的科学家有用。

9975259KirkpatrickTheoretical research will be done on strongly correlated and disordered electronic systems at low temperatures, with the principal objective to understand the phase transitions and other collective phenomena in such systems. An effective field theory developed under prior NSF support will be extended and applied in a systematic treatment of electronic systems with static impurities. Specific systems of interest include magnets with impurities, superconductors, and doped. The methodologies include the construction of effective field theories, renormalization group techniques, and many-perturbation theory. The problem of strongly interacting electron systems is a major one in modern condensed physics. Researchers have discovered over the past few years that such fundamental issues as magnetism in metals are not understood at a fundamental level and that existing theoretical methods are not sufficient to gain a deep understanding of problem. This grant will look at a number of problems related to the central one of strongly interacting electron systems and use, and develop, a variety of powerful mathematical techniques in order to do this. The results of this project will be useful to other scientists concerned with the electrical and magnetic properties of matter.