Properties of Strongly Correlated and Disordered Electronic Systems

9975259Kirkpatrick理论研究将在低温下对强关联和无序的电子系统进行研究，其主要目标是了解这些系统中的相变和其他集体现象。 在先前NSF支持下开发的有效场理论将被扩展并应用于有静态杂质的电子系统的系统处理。 感兴趣的具体系统包括具有杂质的磁体、超导体和掺杂的磁体。 这些方法包括有效场论的构造、重整化群技术和多微扰理论。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，诸如金属磁性等基本问题在基础层面上没有得到理解，现有的理论方法不足以深入理解问题。这项资助将着眼于一些与强相互作用电子系统的中心问题有关的问题，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关心物质的电磁性质的科学家有用。

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.