CAREER: Low-Energy Excitations in Systems of Strongly-Correlated Electrons

这是对一项关于强关联电子系统和奇怪激发的研究项目的职业奖，这些激发可以确定它们对实验探测器的反应。这项研究计划与一项教育倡议相结合，该倡议旨在将现代凝聚态物理的方法带到研究生课堂，并将其概念带给更广泛的受众。这项研究的最终目标是构建新的定量理论框架，用于计算其电子性质不符合传统的准粒子描述的材料的性质。特别是，将考虑表现出(1)自旋-电荷分离；或(2)非阿贝尔统计，或(3)由于无序和强相互作用的综合效应而存在的激发。一些可观察到的量的具体计算，例如那些在实验中测量的计算，将补充这个程序。这些问题需要使用非微扰技术--如重整化群、利用对偶表示、2D中的共形不变性、拓扑方法和变分波函数的构造--并理解强相互作用和无序之间的相互作用。所考虑的物理系统将包括铜酸盐和其他非传统超导体，无序2D电子气，如那些在高迁移率Si-MOSFET中发现的电子气体，以及接近偶分母填充因子的量子霍尔区。该奖项的教育部分集中于开发一本关于现代凝聚态理论的研究生教科书和一本面向普通公众的关于凝聚态物理概念的文本。这是一个关于理论凝聚态理论的职业奖项。特别是，将对新的、新的物质状态进行研究，例如传统理论概念无法实现的高温超导体。因此，这项研究涉及开发新技术以及它们对这些新状态的应用。该奖项的教育部分涉及将这些新技术带入研究生课堂，并将凝聚态物理的概念带给普通公众。

This is a CAREER award for a research program on strongly correlated electron systems and the strange excitations which can determine their response to experimental probes. This research program is coupled to an educational initiative which seeks to bring the methods of modern condensed matter physics to the graduate classroom and its concepts to a wider audience. The ultimate goal of this research is to construct new quantitative theoretical frameworks for calculating the properties of materials whose electronic properties do not admit a conventional quasi-particle description. In particular, excitations will be considered which exhibit (1) spin-charge separation; or (2) non-abelian statistics, or (3) exist as a result of the combined effects of disorder and strong interactions. A number of concrete calculations of observable quantities, such as those measured in experiment, will complement this program. These problems call for the use of non-perturbative techniques - such as the renormalization group, the exploitation of dual representations, conformal invariance in 2D, topological methods, and the construction of variational wavefunctions - and an understanding of the interplay between strong interactions and disorder. The physical systems considered will include the cuprates and other unconventional superconductors, disordered 2D electron gases such as those found in high-mobility Si-MOSFETs, and the quantum Hall regime near even-denominator filling factors. The educational component of the award focusses on the development of a graduate textbook on modern condensed matter theory and a text for the general public on the concepts of condensed matter physics.%%%This is a CAREER award on theoretical condensed matter theory. In particular, research will be conducted on novel, new states of matter, e.g., the high temperature superconductors, for which conventional theoretical concepts fail. Thus, the research involves developing new techniques as well as their application to these novel states. The educational component of this award involves bringing these new techniques into the graduate classroom and bringing the concepts of condensed matter physics to the general public.***