Quantum Hall Effect and Disordered Systems

量子霍尔效应和无序系统

• 批准号: 9818259
• 负责人: Nicholas Read
• 金额: $ 24.3万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-03-15 至 2003-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9818259&HistoricalAwards=false
• 关键词: Quantum; Hall; Effect; Disordered; Systems

9818259ReadThe low-temperature phases of matter and transitions between these phases in disordered systems in general, and in particular the quantum Hall regime in a two-dimensional electron gas with a high perpendicular magnetic field, will be studied using theoretical methods. Specific phases of interest include the compressible and incompressible liquids in the quantum Hall effect. This work will treat their elementary excitations, both in the bulk and at the edge, disorder effects, and universal critical properties of the transitions between distinct phases. Other phases to be considered include quantum spin systems with quenched disorder. The theoretical methods used will be mainly analytical, frequently based on many-body theory and both perturbative and non-perturbative quantum field theoretic techniques. While the emphasis is on fundamental properties, applications to experiment will be made when possible. Characterizing the phases and transitions theoretically will help determine which ones occur in experimental systems. This is a renewal of a prior Presidential Young Investigator award.%%%This grant renewal of a prior Presidential Young Investigator award continues the support of a forefront theorist in many-body theoretical physics. This project will focus on studying low-temperature behavior of electron states in a two-dimensional electron gas in a high perpendicular magnetic field-the quantum Hall regime. Additional work will be carried out on understanding the behavior of quantum spin systems. This work will enhance our understanding of the fractional quantum Hall effect, the central topic of the 1998 Nobel Prize in physics, and in general improve our theoretical understanding of many-body effects that are critical in determining the properties of a range of electronic and magnetic materials of technological importance.***

9818259阅读将使用理论方法研究一般无序系统中物质的低温相以及这些相之间的转变，特别是具有高垂直磁场的二维电子气中的量子霍尔状态。 感兴趣的特定相包括量子霍尔效应中的可压缩和不可压缩液体。 这项工作将处理它们的基本激发（整体激发和边缘激发）、无序效应以及不同相之间过渡的普遍临界性质。 其他要考虑的相包括具有淬灭无序的量子自旋系统。 使用的理论方法主要是分析方法，通常基于多体理论以及微扰和非微扰量子场论技术。 虽然重点是基本特性，但如果可能的话，也会进行实验应用。 从理论上表征阶段和转变将有助于确定实验系统中发生的阶段和转变。 这是对先前总统青年研究员奖的续签。%%%对先前总统青年研究员奖的续签继续了对多体理论物理学前沿理论家的支持。 该项目将重点研究高垂直磁场（量子霍尔体系）中二维电子气中电子态的低温行为。 我们还将开展更多工作来了解量子自旋系统的行为。 这项工作将增强我们对分数量子霍尔效应（1998 年诺贝尔物理学奖的中心主题）的理解，并总体上提高我们对多体效应的理论理解，多体效应对于确定一系列具有技术重要性的电子和磁性材料的特性至关重要。***