Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene

Twisted bilayer graphene has a rich phase diagram, including superconductivity. Recently, an unexpected discovery has been the observation of superconductivity in non-twisted graphene bilayers and trilayers. In this Perspective, we give an overview of the search for uncommon phases in non-twisted graphene systems. We first contextualize these recent results within earlier work in the field, before examining the new experimental findings. Finally, we analyse the numerous theoretical models that study the underlying physical processes in these systems.Superconductivity and cascades of correlated phases have been discovered in Bernal bilayer and rhombohedral trilayer graphene. This Perspective reviews the recent experimental findings and provides an analysis of the theoretical models that aim to explain them.