Dynamics of Fractional Quantum Hall States

尽管经过了几十年的研究，分数量子霍尔态的一些基本物理仍然知之甚少。例如，虽然我们知道全息原理的存在，并且体积的量子数与边缘的量子数非常匹配，但动态边缘的非普适性质很难预测。例如，即使在Laughlin边缘，关于远离重整化群不动点的低能理论的适当形式仍然存在争论。本项目的内容是进一步阐明体-边对应关系，并确定分数量子霍尔边态的动力学物理。理想情况下，这些结果将与最近在量子大厅边缘上的实验相关，这些实验还没有完全被理解。

Despite decades of study some of the basic physics of fractional quantum Hall states is still poorly understood. While it is know, for example, that a holographic principle exists and the quantum numbers of the bulk much match those of the edge, the nonuniversal properties of the dynamical edges are hard to predict. For example, even in the Laughlin edge, there remains debate about the proper form of the low energy theory away from the renormalization group fixed point. The content of this project is to further elucidate the bulk-edge correspondence and determine the dynamical physics of fractional quantum hall edge states. Ideally these results will be relevant to recent experiments on quantum hall edges that have not been fully undertstood.