  Recent advances in the creation and modulation of graphene-like systems are
introducing a science of "designer Dirac materials". In its original
definition, artificial graphene is a man-made nanostructure that consists of
identical potential wells (quantum dots) arranged in a adjustable honeycomb
lattice in the two-dimensional electron gas. As our ability to control the
quality of artificial graphene samples improves, so grows the need for an
accurate theory of its electronic properties, including the effects of
electron-electron interactions. Here we determine those effects on the band
structure and on the emergence of Dirac points.
