Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band continuum band structure model combined with a random phase approximation treatment of electronic correlations. We find that the compressibility is strongly suppressed by electron-electron interactions at low carrier densities. Correlations do not lead to any qualitative new features, but are crucially important for a quantitative understanding of this fundamental thermodynamic property of graphene bilayers.
@article{arxiv.1005.2156,
title = {Compressibility of bilayer graphene},
author = {Giovanni Borghi and Marco Polini and Reza Asgari and A. H. MacDonald},
journal= {arXiv preprint arXiv:1005.2156},
year = {2010}
}