Frustrated Quantum Magnetism in Insulators and Metals

该奖项支持固体中不同电子环境中局域磁矩的量子理论的理论研究和教育。具体的研究领域包括绝缘材料中量子磁性的几何受挫物理，以及金属材料中可能受挫的力矩间交换和局部力矩与传导电子之间的耦合之间的相互作用。重点将放在理解以量子力学效应为主的低温现象上。PI的目的是通过对几个低维绝缘受挫量子磁体的实验或数值计算来澄清基态和低能激发的性质。将开发实地理论方法，目的是获得物理洞察。PI将探索受挫的量子磁铁是否显示出分数量子数的激发。PI试图在这一活跃的凝聚态物理领域的理论和实验之间架起一座桥梁。PI还将研究具有局域磁矩的金属系统的近藤晶格模型，例如Livo。在这些系统中发现的各种现象源于局域磁矩之间可能受挫的磁交换和局域磁矩与传导电子之间的相互作用之间的竞争。该奖项还支持研究生水平的高级理论凝聚态物理教育。PI计划让本科生参与这项研究。该奖项支持对量子磁性材料的几何受挫现象以及特定原子位上的磁矩与巡回传导电子之间的相互作用所产生的现象的基础理论凝聚态物理研究。当由于晶格上的磁矩的几何排列而不能简单地满足磁矩之间的相互作用时，就会发生几何挫折。这是一个活跃而具有挑战性的领域的基础研究，该领域涉及强关联的电子材料，包括重费米子材料和像Cs2CuCl4这样的量子磁铁。这一领域的研究揭示了凝聚态物理中微妙而美丽的现象，为未来的材料和器件技术提供了智力基础。该奖项还支持研究生阶段的高级理论凝聚态物理教育。PI计划让本科生参与这项研究。***

This award supports theoretical research and education on the quantum theory of localized magnetic moments in diverse electronic environments in solids. Specific areas of research include the physics of geometric frustration of quantum magnetism in insulating materials and the interplay between possibly frustrated inter-moment exchange and coupling between local moments and conduction electrons in metallic materials. Emphasis will be on understanding low temperature phenomena where quantum mechanical effects dominate. The PI aims to clarify the nature of the ground states and low energy excitations suggested by experiments or numerical calculations on several low-dimensional insulating frustrated quantum magnets. Field theoretical methods will be developed with an aim to obtaining physical insight. The PI will explore whether frustrated quantum magnets display excitations with fractional quantum numbers. The PI seeks to bridge the gap between theory and experiments in this active area of condensed matter physics. The PI will also study Kondo lattice models for metallic systems with localized magnetic moments, for example LiVO. Various phenomena discovered in these systems originate in the competition between possibly frustrated magnetic exchange between the local moments and the interaction between the local moments and the conduction electrons.This award also supports education at the graduate level in advanced theoretical condensed matter physics. The PI plans to involve undergraduate students in the research. %%%This award supports fundamental theoretical condensed matter physics research on phenomena that arise from geometrical frustration of quantum magnetic materials and the interaction between magnetic moments localized on particular atomic sites with itinerant conduction electrons. Geometrical frustration occurs when the interactions between magnetic moments cannot be simply satisfied because of the geometrical arrangement of the moments on the crystal lattice. This is fundamental research in an active and challenging area that involves strongly correlated electron materials including heavy fermion materials and quantum magnets like Cs2CuCl4. Research in this area has revealed subtle and beautiful phenomena in condensed matter physics and provides the intellectual foundation for future materials and device technologies. This award also supports education at the graduate level in advanced theoretical condensed matter physics. The PI plans to involve undergraduate students in the research. ***