Applications of Field Theory to Condensed Matter Physics

该基金支持凝聚态物理学的理论研究。 特别是，该研究旨在推进对涉及许多强相关自由度的凝聚态系统的理论理解。 主要内容包括：掺杂Mott绝缘体的相，包括电子液晶相，近晶-近晶-各向同性相变和超导电性; 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; Pfronan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。 基本的主题，这是统一的整个研究计划，是由这样的系统所提出的统计物理学的问题是最好的攻击使用场论的思想和概念。理论研究将在凝聚态物理学中的各种感兴趣的问题进行。 将使用场论的方法，这是特别相关的处理这些问题，涉及强相互作用的电子。 其中要解决的问题是高温超导体和量子霍尔态。

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.