  Recent observations of superconductivity in Moire graphene have lead to an
intense interest in that system, with subsequent studies revealing a more
complex phase diagram including correlated insulators and ferromagnetic phases.
Here we propose an alternate system, electrostatically patterned bilayer
graphene (PBG), in which a supermodulation is induced via metallic gates rather
than the moire effect. We show that, by varying either the gap or the
modulation strength, bilayer graphene can be tuned into the strongly correlated
regime. Further calculations show that this is not possible in monolayer
graphene. We present a general technique for addressing Coulomb screening of
the periodic potential and demonstrate that this system is experimentally
feasible.
