Electronic phases and transport in quantum matter at strong coupling

非技术总结该奖项支持对量子材料的理论研究，在这些材料中，强烈的电子-电子相互作用导致独特的输运、热力学和磁性。研究议程既涉及复杂材料中电子相互作用的基本物理，也涉及与微结构和纳米结构量子科学领域的应用相关的介观器件的实用物理。在固态系统中，热到电的转换受热电效应的控制。量子材料和器件中的热电传输是各种现代电子应用的核心。在过去的十年里，对原子薄的二维材料，如由单层碳原子组成的石墨烯的输运测量，提供了压倒性的证据，表明电子在这类系统中的流动表现出类似于粘性流体流动的流体动力学行为。这些进展突破了流体力学的极限，为旧的基本问题提供了新的视角，并为新出现的物理现象的全新发现打开了大门。该项目部分致力于对这类系统在磁场作用下的热电阻性进行新的研究。PI还将把这些研究扩展到固体中其他形式的低温电子行为，如超导，其中电子流动没有任何阻力，磁，以及它们的共存。该奖项还支持国际和平协会的教育和外展活动。该项目非常重视对研究生和本科生的培训，让他们在与博士后学者和其他小组的同事高度合作的环境中参与研究。国际物理协会将通过(I)与美国物理奥林匹克代表队合作培养新一代物理学家和培训高中生参加国际学术比赛，接触公众和高中生观众；(Ii)通过娱乐性的物理奇观节目进行公众教育。国际物理学会还将参与物理暑期学校的科学协调以及国际会议和研讨会的组织。该奖项支持对强关联电子系统主题的理论研究，这些主题是现代凝聚态物理领域实验和理论关注的中心。研究议程既涉及复杂材料中电子关联的基本物理，也涉及与微结构和纳米结构量子科学领域的应用相关的介观器件的实用物理。该项目有两个主要推动力，以及几个相互关联的分主题，这些主题受到最近和正在进行的实验的推动。在第一个关于超导电性的推力中，PI将发展(I)实验观察到的多组分超导体热力学和输运性质中量子临界点表现的模型和机制；(Ii)对称性约束的超导有序分类的群论方法和从可积非线性方程中采用的构造新的晶体孤子相的方法；以及(Iii)描述强耦合下具有非传统配对胶体的超导体非平衡动力学的微观方法。在专注于量子物质的流体动力学和拓扑学的第二个推力中，PI将研究(I)狄拉克和普朗克材料中的粘性电子学；(Ii)拓扑晶体中的电子磁流体动力学；以及(Iii)冷原子陷阱中超流体凝聚的广义流体动力学。该奖项还支持国际和平协会的教育和外展活动。该项目非常重视对研究生和本科生的培训，让他们在与博士后学者和其他小组的同事高度合作的环境中参与研究。国际物理协会将通过(I)与美国物理奥林匹克代表队合作培养新一代物理学家和培训高中生参加国际学术比赛，接触公众和高中生观众；(Ii)通过娱乐性的物理奇观节目进行公众教育。PI还将参与物理暑期学校的科学协调以及国际会议和研讨会的组织。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

NONTECHNICAL SUMMARYThis award supports theoretical research on quantum materials where the strong electron-electron interaction leads to unique transport, thermodynamic and magnetic properties. The research agenda addresses both fundamental physics of electronic interactions in complex materials and practical physics of mesoscopic devices relevant for applications in the domain of quantum science with micro and nanostructures.The conversion of heat into electricity in solid state systems is governed by thermoelectric effects. The thermoelectric transport in quantum materials and devices is at the heart of various modern electronics applications. Over the last decade, transport measurements in atomically thin two-dimensional materials, such as graphene composed of a single layer of carbon atoms, provided overwhelming evidence that the flow of electrons in such systems exhibits hydrodynamic behavior that resembles the flow of a viscous fluid. These advances pushed the limits of hydrodynamics, providing new perspectives on old fundamental problems and opening doors for completely new discoveries of emergent physics phenomena. This project is, in part, devoted to new research on thermoelectric resistance of such systems as they are subjected to magnetic fields. The PI will also extend these studies to other forms of low-temperature electronic behavior in solids such as superconductivity, where electrons flow without any resistance, and magnetism, as well as their coexistence. This award also supports the PI's educational and outreach activities. The project places significant emphasis on training graduate and undergraduate students by engaging them in research in a highly collaborative environment with a postdoctoral scholar and colleagues from other groups. The PI will reach out to the public and high-school student audiences through (i) collaboration with the USA Physics Olympiad team to foster new generation of physicists and train high-school students for international scholastic competition and (ii) public education via entertaining Wonders of Physics shows. The PI will also be involved in the scientific coordination of a physics summer school as well as organization of international conferences and workshops.TECHNICAL SUMMARY This award supports theoretical research on topics of strongly correlated electron systems which are at the center of experimental and theoretical attention in the areas of modern condensed-matter physics. The research agenda addresses both fundamental physics of electronic correlations in complex materials as well as practical physics of mesoscopic devices relevant for applications in the domain of quantum science with micro and nanostructures.The project has two main thrusts with several interconnected sub-topics motivated by recent and ongoing experiments. In the first thrust focused on superconductivity, the PI will develop (i) models and mechanisms for experimentally observed manifestations of quantum critical points in thermodynamic and transport properties of multicomponent superconductors; (ii) group theoretical methods for symmetry-constrained classification of superconducting order and methods adapted from the integrable nonlinear equations to construct new crystalline solitonic phases; and (iii) microscopic methods to describe nonequilibrium dynamics of superconductors with unconventional pairing glue at strong coupling. In the second thrust focused on hydrodynamics and topology in quantum matter, the PI will investigate (i) viscous electronics in Dirac and Planckian materials; (ii) electronic magnetohydrodynamics in topological crystals; and (iii) generalized hydrodynamics of superfluid condensates in cold atomic traps. This award also supports the PI's educational and outreach activities. The project places significant emphasis on training graduate and undergraduate students by engaging them in research in a highly collaborative environment with a postdoctoral scholar and colleagues from other groups. The PI will reach out to the public and high-school student audiences through (i) collaboration with the USA Physics Olympiad team to foster new generation of physicists and train high-school students for international scholastic competition and (ii) public education via entertaining Wonders of Physics shows. The PI will also be involved in the scientific coordination of a physics summer school as well as organization of international conferences and workshops.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.