Strong Coupling Physics in Mott and Related Systems

该奖项支持理论研究和教育，旨在促进对强相关电子材料的理解。弦理论的一项最新进展，即量规引力二象性，为量子多体系统的物理学开辟了一种可能的非摄动方法。PI将探索通过这一理论是否有可能以可控的方式理解低能量强相关物质的物理学。PI的目标是为莫特绝缘体量身定制这种技术。我们的目标是扩展这项技术，以便解决非费米液体系统中超导性的基本问题。PI将进行新的研究，探索多轨道Mott系统（氧硫族化合物）超导的可能性。PI还旨在解开轨道有序和磁有序是如何介导输运各向异性的，这些输运各向异性在最近的铁基镍超导体实验中被观察到。该奖项还支持凝聚态理论前沿的研究生培训。PI将继续开展工作，通过招募和指导少数民族学生以及在公立学校开展外展活动，增加少数民族对科学的参与。PI还将修改他最近编写的第二版教科书。该奖项支持关于包含相互强烈相互作用的电子的材料的理论研究和教育。电子之间的强相互作用导致了它们的相关运动，就像一个复杂的舞蹈，在量子世界中，电子物质的新状态。特别令人感兴趣的是这些强相关材料中超导性的出现。超导是一种可能的复杂电子舞蹈，具有不同寻常的特性，其中包括无损耗导电的能力。如何用理论的语言精确地描述这些物质的新状态是一个具有挑战性的问题。PI将尝试利用引力理论的进步来理解由许多强相互作用的电子组成的系统，以及它们如何将自己组织成新的物质状态。PI还将使用先进但更传统的方法来研究最近发现的材料中出现的不寻常的超导性。通过这些研究，PI旨在阐明强相关材料中超导性的本质以及导致电子组织成这种物质状态的物理机制。了解后者可能会导致发现在更高温度下出现超导性的材料。到目前为止，超导性只存在于极冷的环境中，那里的大气氮气几乎是液态的，甚至更冷。在高于室温的温度下表现出超导性的材料的发现将可能导致新的电子设备技术和几乎无损传输电力的方法。该奖项还支持凝聚态理论前沿的研究生培训。PI将继续开展工作，通过招募和指导少数民族学生以及在公立学校开展外展活动，增加少数民族对科学的参与。PI还将修改他最近编写的第二版教科书。

TECHNICAL SUMMARYThis award supports theoretical research and education that is aimed to advance understanding of strongly correlated electron materials. A recent advance from string theory, the gauge-gravity duality, has opened up a possible non-perturbative approach to the physics of quantum many-body systems. The PI will explore whether through this theory it may be possible to understand the physics of strongly correlated materials at low energies in a controlled way. The PI aims to tailor this technique for Mott insulators. A goal is to extend this technique so that basic problems of superconductivity in a non-fermi liquid system can be addressed. The PI will engage a new line of research to explore the possibility of superconductivity in the multi-orbital Mott systems, the oxychalcogenides. The PI also aims to disentangle how orbital ordering and magnetic order mediate transport anisotropies seen in recent experiments on the iron-based pnictide superconductors.This award also supports graduate student training at the frontiers of condensed matter theory. The PI will continue his work to increase the participation of minorities in science through recruiting and mentoring minority students and through outreach activities to public schools. The PI will also revise his recent textbook for the second edition. NON-TECHNICAL SUMMARYThis award supports theoretical research and education on materials which contain electrons that interact strongly with each other. Strong interaction between electrons leads to their correlated motion, rather like a complicated dance, and in the quantum world to new states of electronic matter. Of particular interest is the appearance of superconductivity in these strongly correlated materials. Superconductivity is one of the possible complicated dances of electrons with unusual properties, among them the ability to conduct electricity without losses. The problem of how to precisely describe these new states of matter in the language of theory is a challenging one. The PI will attempt to exploit advances in the theory of gravity to understand systems of many strongly interacting electrons and how they organize themselves into new states of matter. The PI will also use advanced but more conventional methods to study the emergence of unusual superconductivity in recently discovered materials. Through these studies, the PI aims to elucidate the nature of superconductivity in strongly correlated materials and the physical mechanism that leads electrons to organize into this state of matter. Understanding the latter could lead to the discovery of materials in which superconductivity appears at higher temperatures. So far superconductivity is relegated to the deep freeze where the atmospheric gas nitrogen is nearly a liquid or even colder still. The discovery of materials which exhibit superconductivity at temperatures higher than room temperature would lead to possible new electronic device technologies and methods for virtually lossless transmission of electric power.This award also supports graduate student training at the frontiers of condensed matter theory. The PI will continue his work to increase the participation of minorities in science through recruiting and mentoring minority students and through outreach activities to public schools. The PI will also revise his recent textbook for the second edition.