We study the non-abelian quantum Hall effect, a spectrum gap is established to protect topological degenerating Pfaffian states, which may have novel applications in quantum computing.
We also study the quantum Hall effect in bilayer graphene systems, where the Dirac spectrum also plays a central role in controlling the quantum transports
Small projects involved in this research are used in a new course taught at CSUN by Dr. Sheng (PHYS 466) for undergraduate students, where density of states, edge states, and effect of Hubbard interaction for electrons were looked at by students in class.