  Recently cycloarene has been experimentally obtained in a self-assembled
structure, forming graphene-like monoatomic layered systems. Here, we establish
the bandgap engineering/prediction in cycloarene assemblies within a
combination of density functional theory and tight-binding Hamiltonians. Our
results show a weak dependence of the gap with the assembly geometry,
contrasting a strong dependence with the inter-molecule bond density. We
derived a effective model that allows the interpretation of the arising energy
gap for general particle-hole symmetric molecular arranges based on
inter-molecular bond strength.
