
Double layer electron-hole systems are expected to form excitonic condensation when the distance between the layers is smaller than the typical distance between particles within a single layer. Over the past year, double layer systems made with hexagonal boron nitride (hBN) as the dielectric between two graphene sheets, has emerged as a promising candidate for the realization of excitonic condensation. I will discuss the zero-temperature phase diagram for a double layer system, and focus on the uniform and crystalline excitonic condensate phases. I will present the predictions for a uniform excitonic condensate and discuss how its properties change when the system changes from a uniform state to a crystalline one.