Physics of Strong Disorder and Correlation

强无序与相关物理学

• 批准号: 9523361
• 负责人: Patrick Lee
• 金额: $ 25.8万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-11-01 至 1998-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9523361&HistoricalAwards=false
• 关键词: Physics; Strong; Disorder; Correlation

9523361 Lee The broad subject area of this project is the physics of strong interactions and the effect of random disorder. An example of strong correlation is the physics of the fractional quantum Hall effect, where an electron gas is subject to a high magnetic field so that only the lowest Landau level is partially occupied. A key question is these systems is whether the composite fermions can be described by Fermi liquid theory. The project proposes to continue studying this important system and to explore new experiments which may provide further information on this fascinating new state. The tools being used include many- body perturbation theory, renormalization group analysis, and, at times, numerical analysis. A successful completion of this project will have significant impact on a broad area of condensed matter physics, including other strongly correlated materals, such as high temperature superconductors and heavy fermion metals. %%% This project theoretically investigates systems of electrons where their repulsion plays a crucial role in determining their physical properties, and the effects of random disorder on such systems. An example that constitutes an important focus is the physics of the fractional quantum Hall effect, in which a magnetic field is applied to a gas of electrons that forms at an interface in semiconductors. The investigator is a distinguished leader in this area of condensed-matter physics, using state-of-the art methods. A successful completion of this project will have significant impact on a broad area of condensed matter physics, including other strongly correlated materals, such as high temperature superconductors and heavy fermion metals. ***

9523361李，这个项目的广泛学科领域是强相互作用的物理学和随机无序的效应。一个强关联的例子是分数量子霍尔效应的物理学，其中电子气受到强磁场的影响，因此只有最低的朗道能级被部分占据。一个关键问题是这些系统是否可以用费米液体理论来描述复合费米子。该项目建议继续研究这一重要的系统，并探索新的实验，这些实验可能会提供关于这一迷人的新状态的进一步信息。所使用的工具包括多体微扰理论、重整化群分析，有时还包括数值分析。该项目的成功完成将对凝聚态物理的广泛领域产生重大影响，包括其他强相关材料，如高温超导体和重费米子金属。这个项目从理论上研究电子系统，其中它们的排斥力在确定它们的物理性质中起着关键作用，以及随机无序对这些系统的影响。构成一个重要焦点的一个例子是分数量子霍尔效应的物理学，在该效应中，磁场被施加到在半导体界面形成的电子气体上。这位研究人员使用最先进的方法，在凝聚态物理领域是一位杰出的领导者。该项目的成功完成将对凝聚态物理的广泛领域产生重大影响，包括其他强相关材料，如高温超导体和重费米子金属。***