Correlation, superconductivity and topology in graphene moiré superlattice

Moiré superlattices created by stacking different pieces of two-dimensional layered materials with a slight lattice mismatch have recently emerged as an exceptional platform for exploring emergent quantum phenomena. In stark contrast to the "parent" materials, the electronic band structures are significantly modified from moiré engineering due to the large-scale periodic moiré potential and interlayer hybridization. In this paper, we mainly focus on the recent progresses achieved in graphene-based moiré systems which have been a condensed-matter playground showing unprecedented abundance of quantum states such as strongly correlated states, superconductivity and novel band topologies.