Collaborative Research: Topics in Many-Body Theory

该奖项支持在凝聚态物质理论领域继续研究。这项研究是与马里兰大学的T.R.柯克帕特里克合作完成的。这项研究使用了先进的技术，试图了解低维强相互作用电子系统的行为。这些类型的系统在纳米尺度上很常见，由于传统方法无法描述这种尺度上的物质，这给理论带来了挑战。该项目的主要目标是加深对极低温度下的多电子系统，特别是对此类系统中的相变和其他集体现象的理解。所采用的方法包括一般场论技术和重整化群。一个特别的目标是发展有效场理论，它允许描述非常复杂系统的普遍方面。与该项目相关的特定系统包括磁体、超导体和掺杂半导体。该项目的成功完成将有助于了解凝聚态物理的一个重要领域，并将培养具有该领域专门知识的技术人员。

This award supports a continuation of research in the area of condensedmatter theory. The research is done in collaboration with T. R. Kirkpatrick at the University of Maryland. The research uses advanced techniques to try to understand the behavior of strongly interacting electron systems in low dimensions. These type of systems are common at the nanoscale and provide challenges to theory due to the failure of conventional methods to describe matter on this scale.The primary objective of the project is to further the understanding of many-electron systems at very low temperatures, and especially of phase transitions and other collective phenomena in such systems. The methods employed consist of general field-theoretic techniques and the renormalization group. A particular goal is the development of effective field theories which allow for a description of universal aspects of very complex systems.Specific systems for which this project is relevant include magnets, superconductors, and doped semiconductors. A successful completion of the project will contribute to the understanding of an important area of condensed matter physics, and will train technical personnel with expertise in this field.