中文摘要：

弱本地化和 antilocalization 是在混乱金属从量干扰产生的量运输现象。在低温度，他们能在电导率给不同温度和磁场依赖，允许要探索的系统的对称。在过去几年里，他们也在最新突现的拓扑的材料被观察了，包括拓扑的绝缘体和拓扑的半金属。在从常规电子的对比，在这些新材料， quasiparticles 被描述为迪拉克或 Weyl 费米子。在这篇文章，我们在拓扑的绝缘体和拓扑的半金属为迪拉克和 Weyl 费米子在弱 antilocalization 和导致相互作用的本地化的理论上考察我们的最近的努力。

英文摘要：

Weak localization and antilocalization are quantum transport phenomena that arise from the quantum interference in disordered metals.At low temperatures,they can give distinct temperature and magnetic field dependences in conductivity,allowing the symmetry of the system to be explored.In the past few years,they have also been observed in newly emergent topological materials,including topological insulators and topological semimetals.In contrast from the conventional electrons,in these new materials the quasiparticles are described as Dirac or Weyl fermions.In this article,we review our recent efforts on the theories of weak antilocalization and interaction-induced localization for Dirac and Weyl fermions in topological insulators and topological semimetals.