低维拓扑绝缘体是凝聚态物理在半导体功率器件和固体材料上的研究方向，物理学家结合凝聚态物理和拓扑学的理论，对于低维度的碲化汞(HgTe)等拓扑绝缘体的固体结构和电子自旋性质进行了探索和研究. 量子自旋霍尔效应和拓扑量子双重态是低维拓扑绝缘体的两个关键性质，对于拓扑绝缘体的物质组态和能带结构的预言和发现具有重要作用，并使用强场物理的手段进行了实验的证明. 低维拓扑绝缘体是凝聚态物理的前沿理论和材料应用，同时融合了数论拓扑学的理论，具有低维度的凝聚态之美.

Low-dimensional topological insulators are the frontier of condensed matter physics in semiconductor power devices and solid materials. Physicists combine the theory of condensed matter physics and topology to analyse and explore the solid state structure and properties of electron spin in low-dimensional mercury telluride (HgTe). The quantum spin Hall effect and the topological quantum doublet are two significant physical theories of low-dimensional topological insulators,which play a fundamental role in predicting and discovering the material configuration and energy band structure of topological insulators. A strong field physics is used to prove them experimently. In conclusion,the low-dimensional topological insulators are the frontier theory and material application of condensed matter physics,which is incorporated with the theory of mathematical topology and thus represent the aesthetics of condensed matter.