Synthetic correlated electron system with twisted bilayergraphene quantum dots*

We study a synthetic strongly correlated system realised in bilayer graphene quantum dots with a relative twist between the layers. Doing so, we combine two concepts - triangular graphene quantum dots with zig-zag edges [1] (TGQD), and twisted bilayer graphene finite systems [2] (TBG), both of which were shown to allow for the design of the degenerate electronic shell. The two degenerate electronic shells of each TGQD combine to a single degenerate shell, which properties can be manipulated with a vertical electric field and a twist. We study the effect of the moiré potential on the internal structure and wave function properties of the zero-energy shell. We also investigate the possibilities of manipulating moiré/field-confined QD-like states properties, e.g. state symmetry, using the twist angle as a new mean of control.