Topological phases have opened a new era in condensed matter physics and materials science. These new phases of matter characterized by a nonzero quantized topological invariant can support protected surface/edge states. On the fundamental level, topological physics is closely connected to the geometric properties in both real space--crystal symmetries and momentum space--Berry curvature. We are interested in revealing the connection between geometry and topology in quantum materials. One of our research focus is discovering new topological quantum phases and the real material candidates.

The topological quantum materials host topological indices are accompanied by a large Berry curvature field at the Fermi level. The interplay between the external field and the giant Berry curvature field can induce many exotic quantum phenomena, including quantized photo-currents and giant an-isotropic magnetic tunability. Our research interest is to realize the next-generation topological quantum devices for energy storage or quantum sensing. 

Discovering new phases of matter and finding new materials are  everlasting tasks in material science. From the first usage of stone to the wide applications of semiconductors, the espial of new materials are always playing crucial rule in human history. First principles calculations based on density functional theory (DFT) is powerful in searching new materials, due to their reliable predictions of crystal structures in real space and electronics structures in momentum space. One of our research interests is finding quantum materials via first-principles calculations.