Theory of novel quantum phases and transitions

本文提出的研究计划涉及过渡金属氧化物、重原子材料(f-电子基)、高温铜酸盐超导体和有机材料等复杂材料的电子性质的理论研究。含有许多原子元素的复杂材料往往在电子性质上表现出意想不到的行为。控制这种异常行为是设计具有先进性能的新材料的关键。另一方面，人们已经知道，这些行为不仅仅是随机事件，不同材料之间存在着一定的共性。我研究的主要目的是了解这些材料的新出现的普遍性，这对随后这些材料的科学和技术的发展将是极其重要的。我主要感兴趣的是绝缘和金属磁系统的新的磁性和输运特性，以及这些系统中不同物质相之间的相变。

The research program proposed here concerns theoretical studies of electronic properties of complex materials such as transition metal oxides, materials with heavy atomic elements (f-electron-based), high temperature cuprate superconductors, and organic materials. Complex materials with many atomic elements often show unexpected behaviors in electronic properties. Controlling such unusual behaviors is the key for the design of new materials with advanced properties. On the other hand, it has been known that these behaviors are not just random events and certain universality among different materials emerges. The primary objective of my research is to understand the emergent universality that will be extremely important for subsequent development of science and technology of these materials. I am mainly interested in novel magnetic and transport properties of insulating and metallic magnetic systems and phase transitions between different phases of matter in those systems.