Abstract

Superconductivity and correlated insulators have been observed in twisted bilayer graphene. Such effects arise in connection to a long-wavelength lateral superlattice potential that is induced by the relative twist between layers. These systems have been described as a kind of quantum simulator, however, their properties are not easily controlled. Most importantly, both the symmetry of the superlattice potential and the potential strength are fixed. In this talk I will describe an alternate system which is completely free of these restrictions: ordinary bilayer graphene with a patterned electrostatic gate. Here, the superlattice is designed and then etched, meaning that any lattice symmetry is possible. Moreover, the strength of the lattice potential can be tuned in situ. I will cover recent theoretical work indicating that this system has strong and tunable electron-electron correlations. I will also cover some of the recent experimental progress towards realising it.