CAREER: Dynamics, Correlations and Disorder in Topological Matter

非技术总结这个职业奖项支持关注外部驱动力的作用、电子之间的强相互作用以及电子物质拓扑态中的缺陷和不完美的综合理论研究和教育。拓扑态的特征是在基本意义上具有几何原点并且不因材料的微小变化而改变的特性，并且与材料表面和边缘周围的状态相连接，这些状态可以在不耗散的情况下导电，即使主体是绝缘的。这些研究的目的是阐明概念，以促进对拓扑状态的理解。它们通过研究现实的物理系统及其潜在的应用来解决具有实际重要性的具体问题。该项目可能会为量子计算、精密计量、能量转换和低功率电子器件等新技术的基础做出贡献。融合教育活动将为不同社会经济和种族背景的高中生带来最新的科学进步和新的概念。开发的教育材料将公之于众。这一努力将受到科学教育研究的启发，并将有助于科学教育研究和国家战略教育需求，以应对寻找和利用未来技术材料的挑战。首席调查员还将通过印第安纳大学现有的努力，帮助提高学生对科学的参与度和多样性。技术总结这个职业奖项支持原理调查员(PI)的综合研究、教育和推广活动，重点是非平衡动力学、相关性和无序在物质拓扑态中的作用，特别是在拓扑绝缘体和超导体中，及其潜在的应用。这些活动有三个目的：1.研究拓扑态的动力学性质，特别是在周期驱动系统中实现、检测和操纵拓扑约束态，如Majorana费米子。研究动态和静态拓扑态的无序和涨落，特别是它们在物质新的关联拓扑态的实现中的作用，以及量子信息的拓扑保护及其应用。在K-12、本科生和研究生层面建立一个综合和广泛的教育和推广努力，促进学生对凝聚态中组织原理的理解--包括拓扑学的作用，促进学生在科学中的多样性，并为下一代科学家做准备。PI将使用分析方法和数值模拟结合不同水平的复杂模型来阐明真实系统的概念框架以及与物理相关的属性和现象。教育和外联活动包括研究教育模块的前沿项目，以开发短小的、以探究为基础的单元，将最新的进展带到高中物理课堂，并为代表不足的学生提供暑期研究经验，以及为本科生和研究生举办一系列研讨会。

NONTECHNICAL SUMMARYThis CAREER award supports integrated theoretical research and education focused on the role of external driving forces, strong interactions among electrons, and defects and imperfections in topological states of electronic matter. Topological states are characterized by properties that in a fundamental sense have a geometric origin and are unchanged by small changes of the material, and are connected to states around the surface and edges of the material that can conduct electricity without dissipation, even when the bulk is insulating. The research thrusts are aimed at formulating concepts to advance understanding of topological states. They address specific questions of practical importance by virtue of studying realistic physical systems and their potential applications. This project may contribute to the foundations of new technologies such as quantum computation, precision metrology, energy conversion, and low-power electronic devices. The integrated education activities will bring recent scientific advances and new concepts to high school students of diverse socio-economic and ethnic backgrounds. Educational materials developed will be made publicly available. This effort will be informed by, and will contribute to, science education research and the nation's strategic education needs to meet the challenge of finding and utilizing the materials of future technologies. The Principle Investigator will also help improve the participation and diversity of students in science through existing efforts at Indiana University.TECHNICAL SUMMARYThis CAREER award supports the Principle Investigator's (PI) integrated research, education and outreach activities focused on the role of non-equilibrium dynamics, correlations and disorder in topological states of matter, especially in topological insulators and superconductors, and their potential applications. These activities have three aims:1. To study the dynamical properties of topological states, in particular the realization, detection and manipulation of topological bound states, such as Majorana fermions, in periodically driven systems.2. To study disorder and fluctuations in dynamic and static topological states, especially their role in the realization of novel correlated topological states of matter, and the topological protection of quantum information and their applications.3. To institute an integrated and broad educational and outreach effort at K-12, undergraduate and graduate levels that fosters the students' understanding of organizational principles in condensed matter - including the role of topology, promotes the diversity of students in science, and prepares the next generation of scientists.The PI will use analytical approaches and numerical simulations combining models of various levels sophistication to elucidate the conceptual framework as well as the physically relevant properties and phenomena of real systems. The educational and outreach activities include the project Forefronts of Research Education Modules to develop short, inquiry-based units that bring recent advances to high school physics classrooms as well as summer research experience for underrepresented students and a seminar series for undergraduate and graduate students.