Superconductivity and correlated phases in bilayer, trilayer graphene and related structures

The discovery of a very rich phase diagram in twisted bilayer graphene [1,2] renewed the interest into the properties of other systems based on graphene. An unexpected finding has been the observation of superconductivity in non-twisted graphene bilayers and trilayers [3-5]. In this perspective, we give an overview of the search for uncommon phases in non-twisted graphene systems. We first describe results related to the topic before the aforementioned experiments [3-5] were published. Then, we address the new experimental findings which have triggered the recent interest in the problem. Lastly, we analyze the already numerous theory works studying the underlying physical processes [6].Comment: 10 Pages, 6 figures, 2 tables. Comments are very welcome. Invited Review Nature Physics Perspective