Collaborative Research: Topics in Many-Body Theory

这是一个协作奖，支持凝聚态理论领域的理论研究和教育。合作者是马里兰大学的Kirkpatrick教授（DMR-0132726）。该项目的主要目标是提高目前对低温下多电子系统的理解，特别是对相变和此类系统中的其他集体现象的理解。pi将应用在以前的资助期间开发的有效场论来研究固体中电子的各种集体现象。所采用的方法是一般场论技术和重整化群。与本项目相关的具体系统包括磁体、超导体和掺杂半导体。该项目的成功完成将有助于理解凝聚态物理的一个重要领域，并将培养具有该领域理论专业知识的技术人员。这是一个协作奖，支持凝聚态理论领域的理论研究和教育。合作者是马里兰大学的Kirkpatrick教授（DMR-0132726）。研究的重点是凝聚态物理的基本问题，涉及清洁和无序系统中的强电子相关。具体的研究主题包括铁磁体和超导体中的量子相变，UGe2中超导性和铁磁性的共存，以及电子相关如何影响金属-绝缘体的转变。量子相变发生在零温度下，由量子涨落驱动，与更熟悉和更容易理解的由热涨落驱动且具有非零转变温度的相变相反。与量子相变相关的临界波动可能会影响宽温度范围内的电子行为，并可能解释具有强电子相关性的材料和其他凝聚态系统所表现出的不寻常的电子特性。该奖项还支持凝聚态现象的先进理论方法的教育

This is a collaborative award that supports theoretical research and education in the area of condensed matter theory. The collaborator is professor Kirkpatrick at the University of Maryland (DMR-0132726). The main objective of the project is to enhance the current understanding of many-electron systems at very low temperatures, and especially of phase transitions and other collective phenomena in such systems. The PIs will apply an effective field theory, developed during previous grant periods, to various collective phenomena of electrons in solids. The methods employed are general field theoretic techniques and the renormalization group. Specific systems for which this project is relevant include, magnets, superconductors, and doped semiconductors. The successful completion of this project will contribute to the understanding of an important area of condensed matter physics, and will train technical personnel with theoretical expertise in this field.%%%This is a collaborative award that supports theoretical research and education in the area of condensed matter theory. The collaborator is professor Kirkpatrick at the University of Maryland (DMR-0132726). The research focuses on fundamental problems of condensed matter physics involving strong electronic correlations in clean and disordered systems. Specific topics of study include quantum phase transitions in ferromagnets and superconductors, the coexistence of superconductivity and ferromagnetism in UGe2, and how electronic correlations affect the metal-insulator transition. Quantum phase transitions occur at zero temperature and are driven by quantum fluctuations in contrast to the more familiar and well-understood phase transitions that are driven by thermal fluctuations and have non-zero transition temperatures. Critical fluctuations associated with quantum phase transitions may influence electronic behavior over a wide temperature range and may explain unusual electronic properties exhibited by materials with strong electronic correlations and other condensed matter systems. The award also supports education in advanced theoretical methods for condensed matter phenomena.***