Physics of Strongly Correlated Quantum Many-particle Systems

9971503lee等效类提供了在凝聚态物理中发生的各种现象的全局视图。每一个等价类都以物质的不同状态为特征。一些比较著名的例子包括费米液体；超导体和超流体；带、莫特和安德森绝缘子；量子霍尔液体。一个简单的理论模型可以用来表示一个等价的类，只要它抓住了物质相应状态的定性方面。通过对这些模型的研究，人们可以建立一套“定点”，作为未来理解自然的基础。本理论研究的目的是了解目前所有的等效类，并发现新的等效类。在将要进行的项目中：莫特-哈伯德系统的光学特性中有哪些强相关性的表现？半满朗道能级是一种新的物质状态吗？最近发展起来的中性费米子理论和复合费米液体理论有什么关系？我们从强磁场中边隧穿的I-V特性中学到了什么？为什么超流体3He中的约瑟夫森效应与超导体中的约瑟夫森效应如此不同？这些努力以及其他努力将与正在进行的实验密切协调。该基金支持理论研究，并与实验密切配合，研究物质的各种强相互作用状态。除了对现有状态有更深入的了解外，还将研究每种状态的共同特征，以期发现物质的新状态

9971503LeeEquivalent classes provide a global view of diverse phenomena occuring in condensed matter physics. Each equivalent class is characterized by a distinct state of matter. Some of the better known examples include Fermi liquid; superconductor and superfluid; band, Mott and Anderson insulator; and, quantum Hall liquid. A simple theoretical model can be used to represent an equivalent class as long as it captures the qualitative aspects of the corresponding state of matter. Through the study of these models one can build up a set of "fixed points" which serve as the basis for future understanding of nature. The objective of this theoretical research is to understand all of the current equivalent classes and discover new ones. Among the projects to be undertaken:What are the manifestations of strong correlation in the optical properties of Mott-Hubbard systems?Is the half-filled Landau level a new state of matter, and what is the relation between the recently developed neutral fermion theory and the composite Fermi liquid theory?What does one learn from the I-V characteristic of edge tunneling in strong magnetic fields?Why is the Josephson effect in superfluid 3He so different from that of superconductors?These efforts, and others, will be closely coordinated with ongoing experiments.%%% This grant supports theoretical research, closely coordinated with experiments, on a wide variety of strongly interacting states of matter. Common characteristics will be investigated in each state, with the expectation of discovering new states of matter, in addition to gaining a deeper understanding of existing states.***