Compressibility of graphene

We present a review of the electronic compressibility of monolayer and bilayer graphene. We focus on describing theoretical calculations of the effects of electron–electron interactions and various types of disorder, and also give a summary of current experiments and describe which aspects of theory they support. We also include a full analysis of all commonly used contributions to the tight-binding Hamiltonian of bilayer graphene and their effects on the compressibility.

► A thorough review of the compressibility of monolayer and bilayer graphene. ► Includes all single particle features, including next-nearest neighbor terms in the bilayer. ► The effects ofelectron–electron interactions and disorder are also reviewed.