Quantum Phases in Condensed Matter

凝聚态物质的量子相

• 批准号: 0103639
• 负责人: Ramamurti Shankar
• 金额: $ 34.5万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-04-01 至 2005-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0103639&HistoricalAwards=false
• 关键词: Quantum; Phases; Condensed; Matter

This award supports theoretical research on quantum phase transitions in electronic systems. The PI will extend his previous work to include simultaneously, the effects of interactions between electrons and disorder due to impurities. The main idea is to begin with the Hall problem, where the effects of interactions are well understood and to add on disorder. Evidence that certain magnetic phenomena in a disordered system may be described by an effective pure interaction will be explored. The PI will explore the possibility that a metallic state, disallowed in the noninteracting case, can occur in systems with interactions and disorder. Another focus of this award is on the effective communication of physical concepts and research tools of theoretical condensed matter physics to the community, students, and the lay public. %%%This award supports theoretical research on quantum phase transitions -- transformations that occur at zero temperature through the variation of an interaction or field. These transitions can have a profound effect on materials properties at nonzero temperatures. The PI intends to focus on a notoriously hard problem -- the reliable theoretical description of a disordered and interacting electronic system. The PI will begin from the fractional quantum Hall state in a clean system where the correlations that result from the interactions between electrons are relatively well understood. His strategy will be to introduce disorder and eventually remove the magnetic field in the hope of elucidating the nature of the quantum mechanical ground state of a disordered interacting system in two dimensions. The award will support graduate and postdoctoral training in condensed matter theory and other educational activities, including speaking and writing for a lay audience on condensed matter physics.***

该奖项支持电子系统中量子相变的理论研究。 PI将扩展他以前的工作，同时包括电子之间的相互作用和杂质引起的无序的影响。主要思想是开始与霍尔问题，在相互作用的影响是很好地理解，并添加到无序。 将探索无序系统中某些磁现象可以通过有效的纯相互作用来描述的证据。 PI将探索在非相互作用的情况下不允许的金属状态可能发生在具有相互作用和无序的系统中的可能性。该奖项的另一个重点是理论凝聚态物理学的物理概念和研究工具与社区，学生和公众的有效沟通。该奖项支持量子相变的理论研究-通过相互作用或场的变化在零温度下发生的转变。 这些转变可以对非零温度下的材料性质产生深远的影响。PI打算专注于一个众所周知的难题-无序和相互作用的电子系统的可靠理论描述。 PI将开始从分数量子霍尔态在一个干净的系统，其中的相关性，导致电子之间的相互作用是比较好的理解。 他的策略将是引入无序，并最终移除磁场，以期阐明二维无序相互作用系统的量子力学基态的性质。该奖项将支持凝聚态理论和其他教育活动的研究生和博士后培训，包括为凝聚态物理学的外行观众演讲和写作。