Collaborative Research: Topics in Many-Body Theory

非技术总结该奖项支持理论研究和教育，旨在促进对传统金属和外来金属的电子性质的了解。PI将专注于量子力学效应，随着电子设备的尺寸继续缩小，量子力学效应变得越来越重要。PI将调查电子和磁性，以及量子力学噪声，这些噪声对操纵量子力学状态进行计算和一般量子信息科学具有重要后果。这项研究部分涉及对一种新材料Weyl Metals的研究，这种新材料预计将存在，因为应用了理论凝聚态物理学和描述物体在变形、扭曲和弯曲下保持不变的性质的数学分支的概念所形成的新概念。PI还将研究随着电子之间相互作用强度的增加，金属电子性质的标准模型自然失效的可能性，从而导致一种新的电子量子力学状态。PI还将利用量子信息科学的想法来开发一种方法，以测量材料中电子运动的关联强度。在这些问题上的进展有助于建立知识库，从而发现可能导致未来技术创新的新材料和与材料有关的现象。这项研究为博士生在一个可以催生新技术的领域提供了一个培训环境。PI旨在通过与当地教育联盟合作为K-12教室开发科学工具包，传达现代凝聚态物理和材料科学的兴奋。技术总结该奖项支持理论研究和教育，目的是利用场论方法探索金属在低温下的电子性质。PI将专注于对称性破坏导致强烈波动的低温相，以及这些相之间的相变。整个项目的一个统一的物理方面是软模式或无间隙模式的概念，以及由此产生的波动和长期关联。利用这一概念，PI将研究一类被称为Weyl Metals的新材料的性质，理论上预测这种材料是由于偶然的能带交叉而发生的，并将代表相对论费米子在材料中的实现。他们还将更广泛地调查费米液体概念崩溃的机制；特别是，PI将搜索由强烈涨落引起的费米液体的不稳定性。第三个项目涉及电子系统中关联强度的测量，特别是纠缠熵与更直接可测量的物理性质或现象之间的关系。PI将继续指导学生和博士后研究人员，并将开发旨在向高中生传达量子材料和物质的兴奋的教育材料。

NONTECHNICAL SUMMARYThis award supports theoretical research and education with the aim to advance understanding of the electronic properties of both traditional and exotic metals. The PI will focus on quantum mechanical effects that become increasingly important as the dimensions of electronic devices continue to shrink. The PIs will investigate electronic and magnetic properties, as well as quantum mechanical noise that has important consequences for the manipulation of quantum mechanical states to perform computation, and for quantum information science in general. The research involves in part the study of a new kind of material, Weyl metals, that are predicted to exist from the application of new ideas forged from the fusion of concepts from theoretical condensed matter physics and the branch of mathematics that describes the properties of objects that remain unchanged under deformation, twisting, and bending. The PIs will also investigate the possibility that the standard model for the electronic properties of metals naturally fails as the strength of interactions among electrons increases, leading to a new kind of quantum mechanical state of electrons. The PIs will also harness ideas from quantum information science to develop a way to measure the strength of the correlation in the motion of electrons in a material. Progress on these problems contributes to the knowledge base leading to the discovery of new materials and materials-related phenomena that may lead to future technological innovation. This research provides a training environment for Ph.D. students in an area that can spawn new technologies. The PIs aim to convey the excitement of modern condensed matter physics and materials science by working with a local education consortium to develop a science kit for K-12 classrooms. TECHNICAL SUMMARYThis award supports theoretical research and education with an aim to explore electronic properties of metals at low temperatures, making use of field-theoretic methods. The PIs will focus on low-temperature phases where broken symmetries lead to strong fluctuations, and on phase transitions between such phases. A unifying physical aspect of the entire project is the concept of soft or gapless modes, and the fluctuations and long-ranged correlations that result from them. Using this concept, the PIs will investigate the properties of a new class of materials known as Weyl metals, which are theoretically predicted to occur due to accidental band crossing and would represent a realization of relativistic fermions in materials. They will also investigate more broadly mechanisms for the breakdown of the Fermi-liquid concept; in particular, the PIs will search for instabilities of the Fermi liquid that are caused by strong fluctuations. A third project deals with measures of the correlation strength in electronic systems, and in particular with relations between the entanglement entropy and more directly measurable physical properties or phenomena. The PIs will continue to mentor students and postdoctoral researchers and will develop educational materials that aim to convey the excitement of quantum materials and matter to high school students.