CAREER: Discovery and Characterization of Strongly Correlated Topological Materials

非技术摘要：新量子材料的发展是由两个概念驱动的，能带结构拓扑和强电子关联。由于计算强关联系统的能带结构的挑战由来已久，凝聚态物理的这两个中心主题之间的相互作用还没有得到积极的研究。该研究小组正在研究强关联电子系统的新拓扑性质，目标是未知的阶段、跃迁和功能。基于课题组开发的实用设计原则，该项目加速了强关联物理和能带结构拓扑的理论统一，极大地提高了我们对量子材料的理解，进一步扩大了拓扑相的视野。这些可能会为未来的技术带来有前景的应用。一项全面的教育和推广计划被纳入到向具有不同背景的广泛的学生和社区传递量子物理和量子材料的核心知识。技术摘要：由于库仑排斥和电子的动力学自由度之间的相互作用，预测强关联材料的拓扑性质是一个理论挑战。研究小组正在研究强关联和能带结构拓扑之间的汇聚所产生的奇异相和材料。该研究小组开发了一种实用的设计原则来指导系统地发现新的强关联拓扑材料，具体是通过结合(1)近藤杂化引起的强关联，(2)非对称晶体对称性加强的带交叉，(3)铀系统中的大自旋轨道耦合来实现的。研究小组将利用单晶合成、电学和热输运测量、第一性原理计算和光电子能谱来识别源于强关联的具有非平凡拓扑的新系统，并发现新的新的低能激发。该项目的具体目标包括：(1)揭示近藤杂交产生非平凡拓扑带的机制及其对反常霍尔效应的贡献；(2)发现由2D极限中的强相关性引起的新拓扑态；以及(3)了解近藤-魏尔半金属中反常霍尔效应的不同寻常的场相关性。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。

Non-technical Abstract:The development of new quantum materials is driven by two concepts, band structure topology and strong electronic correlations. Due to the long-standing challenge of calculating band structures of strongly correlated systems, the interplay of these two central themes of condensed matter physics has not been actively investigated. The research team is studying novel topological properties of strongly correlated electronic systems, aiming for yet-unknown phases, transitions, and functionalities. Based on a practical design principle developed by the research team, this project accelerates the theoretical unification of strong correlation physics and band structure topology, greatly enhances our understanding of quantum materials, further expands the horizon of topological phases. These might lead to promising applications for future technologies. A comprehensive education and outreach plan is incorporated to transmit the core knowledge of quantum physics and quantum materials to a large range of students and communities with diverse backgrounds.Technical Abstract:Due to the interplay between Coulomb repulsion and kinetic degrees of freedom of electrons, the prediction of topological properties in strongly correlated materials represents a theoretical challenge. The research team is investigating exotic phases and materials originating from the convergence between strong correlations and band structure topology. The research team has developed a practical design principle to guide the systematic discovery of novel strongly correlated topological materials, which is specifically realized by combining (1) strong correlations induced by Kondo hybridization, (2) band crossing enforced by non-symmorphic crystal symmetries, and (3) large spin orbital coupling in uranium systems. The research team will utilize single crystal synthesis, electric and thermal transport measurement, first principle calculations and photoemission spectroscopy to identify new systems with non-trivial topology originating from strong correlations and discover new emergent low energy excitations. Specific goals of the project include: (1) to reveal the the mechanism by which Kondo hybridization gives rise to nontrivial topological bands and its contribution to the anomalous Hall effect; (2) to discover novel topological states induced by strong correlation in the 2D limit; and (3) to understand the unusual field dependence of the anomalous Hall effect in Kondo-Weyl semimetals.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.