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

职业：强相关电子系统中的低能激发

• 批准号: 9983544
• 负责人: Chetan Nayak
• 金额: $ 20万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-01 至 2004-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9983544&HistoricalAwards=false
• 关键词: CAREER; Low; Energy; Excitations; Systems

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.***

这是一项职业奖，旨在奖励一项关于强相关电子系统和奇怪激发的研究项目，该激发可以决定它们对实验探针的反应。 该研究计划与一项教育计划相结合，旨在将现代凝聚态物理学的方法带到研究生课堂，并将其概念带给更广泛的受众。 本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允许常规准粒子描述的材料的性质。 特别地，将考虑表现出（1）自旋-电荷分离;或（2）非阿贝尔统计，或（3）作为无序和强相互作用的组合效应的结果而存在的激发。 一些可观测量的具体计算，如实验中测量的那些，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，二维共形不变性，拓扑方法和变分波函数的构造-以及理解强相互作用和无序之间的相互作用。 考虑的物理系统将包括铜酸盐和其他非常规超导体，无序的2D电子气体，如在高迁移率硅MOSFET中发现的，以及接近偶数分母填充因子的量子霍尔制度。 该奖项的教育部分侧重于现代凝聚态理论研究生教科书的开发和凝聚态物理概念的普通大众文本。%这是一个关于凝聚态理论的职业奖。 特别是，将对新的、新的物质状态进行研究，例如，高温超导体，传统的理论概念失败了。 因此，研究涉及开发新技术以及将其应用于这些新状态。 该奖项的教育部分涉及将这些新技术带入研究生课堂，并将凝聚态物理学的概念带给公众。