凝聚体中的拓扑量子态

探寻拓扑上非平庸的凝聚体物质状态，特别是其电子结构和输运性质，是当前凝聚体物理 学领域非常重要的前沿研究方向。本文讨论的大多数主题都与电子波函数的拓扑性质有关。全文 除简短的引言外，包括拓扑量子现象、各种拓扑相、拓扑性准粒子的异常输运性质、拓扑性集 体激发和耦合激发，以及继续发展的拓扑量子态研究五个章节。这些章节着重反映拓扑量子态研 究的各个侧面，汇总起来方可以凸显凝聚体中拓扑量子态的全貌。

Topological Quantum States in Condensed Matter

Exploring the topologically nontrivial states in condensed matter, especially their electronic structure and transport property, is very important and timely. Most topics discussed in this paper are relevant to the topological properties of electronic wavefunctions. Besides a brief introduction, the paper contains five sections, including topological quantum phenomena, various topological phases, unusual transport properties of topological quasiparticles, topological collective excitations and coupled excitations, and ongoing research in topological quantum states. These presentations expound a variety of aspects in the studies of topological quantum states. With all these aspects together, a comprehensive understanding of the topological quantum states in condensed matter physics can be achieved.