Smectic phases in moire patterns of bilayer graphene

We study the possibility of smectic phases in biased bilayer graphene under electron-electron interaction effects. When one layer is deformed by strain, this system can be modeled as a single graphene layer with a periodic moire potential, which derives from integrating out the deformed layer. Under an appropriately chosen deformation, the effective model describes an array of parallel of one dimensional wires describing coupled Luttinger liquids. We investigate how to realistically engineer various experimentally observable smectic phases that have been predicted in the context of doped Mott insulators by controlling the amount of strain and bias voltage in this system.