▎ 摘　　要

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. (c) 2012 Elsevier Ltd. All rights reserved.