Applications of Field Theory to Condensed Matter Physics

场论在凝聚态物理中的应用

• 批准号: 9817941
• 负责人: Eduardo Fradkin
• 金额: $ 47.1万
• 依托单位: University of Illinois at Urbana-Champaign
• 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: 1999-01-01 至 2002-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9817941&HistoricalAwards=false
• 关键词: Applications; Field; Theory; Condensed; Matter

This grant supports theoretical research in condensed matter physics. In particular, the research is aimed at advancing the theoretical understanding of condensed matter systems involving many strongly correlated degrees of freedom. Attention will be focused on the following: phases of doped Mott insulators, including electronic liquid crystal phases, their smectic-nematic-isotropic transitions and superconductivity; quantum critical behavior of Kondo impurities in d-wave systems, the quantum Hall effect, including strong coupling behavior of quantum Hall tunnel junctions; Ginzburg-Landau theory for Pfaffian states; and superfluids and superconductors, including d-wave spectral flow and vortex motion in dirty systems, and tunneling of magnetization in mesoscopic spin systems. The underlying theme, which unifies this entire research program, is that the problems of statistical physics raised by such systems are best attacked using the ideas and concepts of field theory.Theoretical research will be conducted on a variety of problems of great interest in condensed matter physics. The methods of field theory will be used which are particularly relevant to dealing with these problems involving strongly interacting electrons. Among the problems to be addressed are the high temperature superconductors and the quantum Hall states.

本基金支持凝聚态物理的理论研究。特别是，该研究旨在推进涉及许多强相关自由度的凝聚态系统的理论认识。重点关注：掺杂Mott绝缘体的相，包括电子液晶相，它们的微向列各向同性跃迁和超导性；d波系统中Kondo杂质的量子临界行为，量子霍尔效应，包括量子霍尔隧道结的强耦合行为；Pfaffian态的Ginzburg-Landau理论以及超流体和超导体，包括脏系统中的d波谱流和涡旋运动，以及介观自旋系统中的磁化隧穿。统一整个研究计划的基本主题是，由这些系统提出的统计物理问题最好使用场论的思想和概念来解决。理论研究将对凝聚态物理中各种非常有趣的问题进行。将使用场论的方法，这与处理这些涉及强相互作用电子的问题特别相关。其中需要解决的问题是高温超导体和量子霍尔态。