Collaborative Research: Topics in Many-Body Theory

该奖项基于一项合作提案，旨在支持理论研究和教育，以调查凝聚态系统在极低温度下的电子性质，特别强调不依赖于所讨论材料细节的普遍性质。特别是，PI将进一步探索“软”凝聚态物质和“硬”凝聚态物质之间的类比，这些类比在PI最近关于helimagnets的工作中被证明是富有成效的，并有望为当前感兴趣的其他材料提供更多的见解。要研究的问题包括与量子霍尔系统和高温超导体有关的液晶态的量子类似物、远离平衡态的量子相变以及铁磁超导体中的螺旋相。PI还将研究另外两个问题：一个涉及到某些奇异性在屏蔽由玻色子交换介导的有效电子-电子相互作用中的意义;另一个是关于控制某些量子相变的微扰重整化群处理的技术问题。这个项目将有助于提高我们对固体基本电子性质的理解，创造作为未来技术创新基础的关键知识。它将在一个重要和非常广泛的研究领域培养学生和博士后助理，从而为我们技术导向的社会所必需的人力资源的产生做出贡献。该奖项支持合作理论研究和教育，以揭示低温下材料的普遍电子特性。普适性质超越了特定材料的许多细节，例如电子之间的相互作用强度或电子能量关系，并且可以在更深层次上连接看似不同的材料。普适性质的发现可能标志着一个基本原理的存在，该原理为看似不同的材料提供了统一的理解。该项目将有助于推进我们对固体基本电子性质的理解，创造作为未来技术创新基础的关键知识。它将在一个重要和非常广泛的研究领域培养学生和博士后助理，从而为我们技术导向的社会所必需的人力资源的产生做出贡献。

TECHNICAL SUMMARYThis award made on a collaborative proposal supports theoretical research and education to investigate the electronic properties of condensed matter systems at very low temperatures, with particular emphasis on universal properties that do not depend on the details of the materials in question. In particular, the PI will further explore analogies between "soft" condensed matter and "hard" condensed matter that have proven to be productive in the PIs' recent work on helimagnets and promise to provide additional insight into other materials of current interest. Problems to be studied include quantum analogs of liquid crystal states that are relevant for quantum hall systems and high-temperature superconductors, quantum phase transitions away from equilibrium, and spiral phases in ferromagnetic superconductors.The PIs will also pursue two more additional problems: one involves the meaning of certain singularities in the screening of effective electron-electron interactions that are mediated by an exchange of bosons; the other, involves technical problems controlling the perturbative renormalization-group treatment of certain classes of quantum phase transitions.This project will contribute to advancing our understanding of the basic electronic properties of solids, creating knowledge that is crucial as a basis for future technological innovation. It will train students and postdoctoral associates in an important and very broad research area, and thus contribute to the generation of human resources that are essential for our technologically oriented society. NON-TECHNICAL SUMMARYThis award supports collaborative theoretical research and education to uncover universal electronic properties of materials that appear at low temperatures. Universal properties transcend many of the details of specific materials, such as strength of interactions between electrons or electronic energy relations, and can connect seemingly different materials at a deeper level. The discovery of universal properties may signal the existence of a fundamental principle that provides a unifying understanding of seemingly different materials. This project will contribute to advancing our understanding of the basic electronic properties of solids, creating knowledge that is crucial as a basis for future technological innovation. It will train students and postdoctoral associates in an important and very broad research area, and thus contribute to the generation of human resources that are essential for our technologically oriented society.