Theoretical Study of impurity effects in topological insulators and superconductors

从理论上研究了拓扑绝缘体边缘电子输运和热输运的近藤效应。二维拓扑超导体中磁性杂质与马约拉纳费米子边缘态的交换耦合是各向异性的。利用网络模型对二维拓扑绝缘体和超导体中杂质引起的安德森局域化进行了分析和数值研究。此外，本文还对拓扑绝缘体和超导体的分类理论进行了回顾。

Kondo effects of electronic and thermal transport at edges of topological insulators are studied theoretically. Exchange coupling of a magnetic impurity and Majorana fermion edge states in two-dimensional topological superconductors is shown to be anisotropic. Anderson localization caused by impurities in two-dimensional topological insulators and superconductors is studied both analytically and numerically using network models. Furthermore, the classification theory of topological insulators and superconductors is revisited.