CAREER: Interactions and Quantum Effects in Nodal Materials

非技术总结这个职业奖支持理论研究和教育，并将探索新的方法来实现新的量子力学现象的材料，从原子结构，几何形状，维度和电子之间的相互作用出现。PI将专注于一类材料，这些材料与称为石墨烯的原子级薄碳形式有关。PI将研究如何以不同的方式堆叠石墨烯层或在堆叠中包含其他二维材料可以导致具有新的电子特性的层状材料。 PI还将研究扭曲石墨烯是否会导致超导性，这是一种可以无电阻传输电流的电子物质状态。PI将进一步探索超导状态是否可以与其他新的状态共存，其中电子的运动由于它们的相互作用而强烈相关。PI还将研究理论上预测的三维材料，这些材料是二维石墨烯的类似物。这些被称为外尔半金属的材料具有电子激发的特性，从根本上说，这些电子激发似乎以光速运动。PI将研究这些预测材料的性质，这些材料可能在铱、稀土和氧的化合物中实现。这些新的物质状态的性质的研究不仅具有根本的意义，而且有助于为未来的电子设备技术奠定知识基础。PI将寻求研究、实验和教育之间的紧密结合。为了向公众传播信息并为社会的普通科学教育做出贡献，PI将举办一系列关于新材料的公开讲座。教学与研究的整合将以凝聚态物理学高级研究生课程的形式进行，该课程将联合收割机多体物理课程与当前的研究课题相结合。在本科阶段，PI将为REU学生提供短期暑期课程，旨在刺激他们批判性地思考物理模型和建模过程。PI还将寻求通过与物理教师合作，使高中的科学课程现代化。这项合作将把当前的研究课题纳入高中的科学课程，目标是：激励学生从事研究事业，并增加高中生物理课程的入学率。该活动旨在对俄克拉荷马州地区的高中生教育产生可衡量的影响。技术概要该职业奖支持具有节点费米表面的相关量子系统物理学的理论研究，旨在提出观察涌现量子现象的新方法。节点材料是多体费米系统，其中费米表面可以连续变形为一组点或线。这些节点周围的能带结构可以具有任何态密度，并且可以支持各种不同的多体态。本研究将集中于研究三类系统中的关联效应、量子现象和可能的拓扑序：1。相关原子多层系统。相关效应将在扭曲的双层准晶和原子多层系统中进行研究，如ABC堆叠的石墨烯三层。PI将使用重整化群和非微扰方法来计算低能部分的物理可观测量并识别可能的新基态。2.平带中的多体态。PI将研究和表征拓扑平带和时间反演对称朗道能级中的新超导基态，这些基态可以通过石墨烯和光学晶格中的应变产生。3.狄拉克和外尔半金属中的量子现象。该项目将解决这类系统中关于集体模式，传输和电子相互作用的基本问题，其基本准粒子是Weyl费米子，这是石墨烯中手性无质量准粒子的三维类似物。PI将寻求研究，实验和教育之间的紧密结合。为了向公众传播信息并为社会的普通科学教育做出贡献，PI打算举办一系列关于新材料的公开讲座。教学与研究的整合将以凝聚态物理学高级研究生课程的形式进行，该课程将联合收割机多体物理课程与当前的研究课题相结合。在本科阶段，PI将为REU学生提供短期暑期课程，旨在刺激他们批判性地思考物理模型和建模过程。PI还将寻求通过与物理教师合作，使高中的科学课程现代化。这项合作将把当前的研究课题纳入高中的科学课程，目标是：激励学生从事研究事业，并增加高中生物理课程的入学率。这项活动旨在对俄克拉荷马州市地区的高中生教育产生可衡量的影响。

NONTECHNICAL SUMMARYThis CAREER award supports theoretical research and education, and will explore new ways to realize new quantum mechanical phenomena in materials that emerge from the interplay of atomic structure, geometry, dimensionality, and interactions among electrons. The PI will focus on a class of materials that are related in a fundamental way to an atomically thin form of carbon known as graphene. The PI will investigate how stacking graphene layers in different ways or including other two-dimensional materials in the stack can lead to a layered material with novel electronic properties. The PI will also study whether distorting graphene can lead to superconductivity, a state of electronic matter which can transport electric current without resistance. The PI will further explore whether the superconducting state can coexist with other novel states where the motion of the electrons is strongly correlated as a consequence of their interactions. The PI will also study theoretically predicted three dimensional materials that are analogs of two dimensional graphene. These materials known as Weyl semimetals would share the property of having electronic excitations that in a fundamental sense appear to move at the speed of light. The PI will study the properties of these predicted materials which might be realized in compounds made of iridium, a rare earth, and oxygen. While of fundamental interest, the study of the properties of these new states of matter also contributes to the intellectual foundations of future electronic device technologies.The PI will seek close integration among research, experiments and education. In order to disseminate information to the general public and contribute to the general science education of society, the PI will give a series of public lectures about novel materials. The integration of teaching with research will be structured in the form of an advanced graduate course on Condensed Matter Physics, which will combine the many-body physics curriculum with current research topics. At the undergraduate level, the PI will offer a short summer course for REU students, which is designed to stimulate them to think critically about physical models and the modeling process. The PI will also seek to modernize the science curriculum of high schools through a collaboration with physics teachers. The collaboration will incorporate current research topics in the science curriculum of high schools and has the goals: to stimulate students to pursue research careers, and to increase the enrollment of high school students in physics courses. This activity is aimed to have a measurable impact in the education of high school students in the area of Oklahoma City.TECHNICAL SUMMARY This CAREER award supports theoretical research in the physics of correlated quantum systems with nodal Fermi surfaces, and aims to propose new ways to observe emergent quantum phenomena. Nodal materials are many-body Fermi systems where the Fermi surface can be continuously deformed into a set of points or lines. The structure of the bands about these nodes may have any density of states and may support a variety of different many-body states. The research will be focused on studying correlation effects, quantum phenomena and possible topological order in three classes of systems: 1. Correlated atomic multi-layer systems. Correlation effects will be investigated in twisted bilayer quasicrystals and in atomic multilayer systems, such as ABC stacked graphene trilayers. The PI will use renormalization group and non-perturbative methods to calculate physical observables in the low-energy sector and identify possible new ground states. 2. Many-body states in flat bands. The PI will study and characterize new superconducting ground states in topological flat bands and in time reversal symmetric Landau levels, which can be produced by strain in graphene and in optical lattices. 3. Quantum phenomena in Dirac and Weyl semimetals. This project will address basic questions about collective modes, transport and electronic interactions in this class of systems, whose elementary quasiparticles are Weyl fermions, which are three dimensional analogs of the chiral massless quasiparticles in graphene. The PI will seek close integration among research, experiments and education. In order to disseminate information to the general public and contribute to the general science education of society, the PI intends to give a series of public lectures about novel materials. The integration of teaching with research will be structured in the form of an advanced graduate course on Condensed Matter Physics, which will combine the many-body physics curriculum with current research topics. At the undergraduate level, the PI will offer a short summer course for REU students, which is designed to stimulate them to think critically about physical models and the modeling process. The PI will also seek to modernize the science curriculum of high schools through a collaboration with physics teachers. The collaboration will incorporate current research topics in the science curriculum of high schools and has the goals: to stimulate students to pursue research careers, and to increase the enrollment of high school students in physics courses. This activity is aimed to have a measurable impact in the education of high school students in the area of Oklahoma City.