Topological Quantum Numbers

该奖项支持具有拓扑量子数的系统的基础研究和教育。提出的工作重点是超流体和超导体中的涡流动力学，低温通量流动机制，分数量子霍尔相的表面和界面结构，以及量子霍尔相之间转换的性质。该奖项支持凝聚态理论和理论研究的研究生教育，这些研究集中在凝聚态理论前沿的两个重要问题上，这些问题具有微妙的几何联系。这些是超导体中漩涡的运动，以及在高磁场中半导体界面中捕获的电子中发生的新量子态之间的相变。

This award supports fundamental research and education in systems, which have topological quantum numbers. The proposed work is focussed on the dynamics of vortices in superfluids and superconductors, mechanisms for flux flow at low temperature, the structure of surfaces and interfaces of fractional quantum Hall phases, and the nature of transitions between quantum Hall phases. This award supports graduate education of students in condensed matter theory and theoretical research focussed on two important problems that lie at the frontiers of condensed matter theory that have a subtle geometric connection. These are the motion of vortices in superconductors, and phase transitions between novel quantum states that occur in electrons trapped at semiconductor interfaces in high magnetic fields.