Chiral model of twisted bilayer graphene realized in a monolayer

We demonstrate that a single layer of graphene subject to a superlattice potential nearly commensurate to a 3×3 supercell exactly maps to the chiral model of twisted bilayer graphene, albeit with half as many degrees of freedom. We comprehensively review the properties of this "half-chiral model,"including the interacting phases stabilized at integer fillings and the effects of substrate-induced symmetry breaking. We list candidate substrates that could produce a superlattice potential on graphene with the correct periodicity to access the flat-band limit. Experimental measurements on a half-chiral moiré heterostructure, in which valley skyrmions cannot form, could yield insights on the physics they mediate in twisted bilayer graphene.