论文标题
填充因子$ν= 5/2 $处的分数量子厅效应
Fractional quantum Hall effect at the filling factor $ν=5/2$
论文作者
论文摘要
35年前，在GAAS异质结构中发现了填充因子$ν= 5/2 $处的分数量子大厅（FQH）效应。已经提出了各种拓扑命令来描述这种FQH状态。其中一些人具有非亚伯利亚人的激发，这是一种具有引人入胜的特性的全新类型的准粒子。如果观察到，非亚伯人的人可以提供拓扑量子计算机的基本构建块。然而，FQH状态在$ν= 5/2 $的性质仍在辩论中。在本章中，我们概述了与此特殊FQH状态有关的理论背景，数值结果和实验测量。此外，我们回顾了一些最近的发展及其可能的解释。还讨论了解决$ 5/2 $州的性质的未来指示。
The fractional quantum Hall (FQH) effect at the filling factor $ν=5/2$ was discovered in GaAs heterostructures more than 35 years ago. Various topological orders have been proposed as possible candidates to describe this FQH state. Some of them possess non-Abelian anyon excitations, an entirely new type of quasiparticle with fascinating properties. If observed, non-Abelian anyons could offer fundamental building blocks of a topological quantum computer. Nevertheless, the nature of the FQH state at $ν=5/2$ is still under debate. In this chapter, we provide an overview of the theoretical background, numerical results, and experimental measurements pertaining to this special FQH state. Furthermore, we review some recent developments and their possible interpretations. Possible future directions toward resolving the nature of the $5/2$ state are also discussed.
