In 1980, the integer quantum Hall effect in two-dimensional(2D) systems was discovered under high magnetic field [1],which opened a door to the novel phase of matter. The concept of topology was then introduced into condensed matter physics to distinguish the intriguing phenomenon of quantum Hall effect by non-zero Chera number (C) [2]. The topological scenario suggests a new type of phase where the phase transition does not need symmetry breaking. In 2005,Z2 invariant was proposed to characterize the topological properties of time-reversal-invariant systems. In 2006, the HgTe quantum well was predicted to be a quantum spin Hall system with insulating bulk state and spin-orbit locking he-lical edge state, which was experimentally demonstrated in 2007 and called 2D topological insulator later on. Despite some debates on the evidence of the 2D topological insulator,the studies soon expanded to three-dimensional (3D) topo-logical insulators. Further investigations also revealed to-pological semimetals and topological superconductors. The materials with topological nontrivial properties are collec-tively called topological materials.