Collaborative Research: Topic in Many-Body Theory

该奖项是基于一项合作提案，支持理论研究和教育，以调查极低温下凝聚态物质系统的电子特性，特别强调不依赖于所讨论材料细节的通用特性。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，这在PI最近的helimagnets工作中已经被证明是有效的，并承诺为当前感兴趣的其他材料提供额外的见解。要研究的问题包括与量子霍尔系统和高温超导体相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：一个问题涉及在筛选由玻色子交换介导的有效电子-电子相互作用时某些奇点的意义；另一方面，涉及控制某些类型量子相变的微扰重整化群处理的技术问题。该项目将有助于提高我们对固体基本电子特性的理解，为未来的技术创新奠定至关重要的基础。它将在一个重要而非常广泛的研究领域培养学生和博士后助理，从而为我们这个以技术为导向的社会提供必不可少的人力资源。该奖项支持协作理论研究和教育，以揭示在低温下出现的材料的普遍电子特性。通用属性超越了特定材料的许多细节，例如电子之间相互作用的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。普遍性质的发现可能标志着一种基本原理的存在，它为看似不同的材料提供了统一的理解。该项目将有助于提高我们对固体基本电子特性的理解，为未来的技术创新奠定至关重要的基础。它将在一个重要而非常广泛的研究领域培养学生和博士后助理，从而为我们这个以技术为导向的社会提供必不可少的人力资源。

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.