Electronic compressibility of a graphene bilayer

Abstract

We calculate the electronic compressibility arising from electron-electron interactions for a graphene bilayer within the Hartree-Fock approximation. We show that, due to the chiral nature of the particles in this system, the compressibility is rather different from those of either the two-dimensional electron gas or ordinary semiconductors. We find that an inherent competition between the contributions coming from intra-band exchange interactions (dominant at low densities) and inter-band interactions (dominant at moderate densities) leads to a non-monotonic behavior of the compressibility as a function of carrier density.

4 pages, 4 figures. Final version

References in corpus (6)

• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Asymmetry gap in the electronic band structure of bilayer graphene
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Chirality and Correlations in Graphene
• Impurities in a Biased Graphene Bilayer

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