Superuniversality of topological quantum phase transitions

Since two topologically distinct phases cannot be adiabatically deformed into each other, they must be separated by a sharp phase transition. Therefore, our understanding of global phase diagrams of topological quantum materials remains incomplete without addressing the nature of topological quantum critical points. We will show that irrespective of underlying symmetry classes, the universal behaviors of several topological phase transitions at different spatial dimensions are controlled by massless Dirac fermion fixed points. Based on this idea of superuniversality, we will address the scaling properties of topological quantum critical points for different Altland-Zirnbauer symmetry classes.