Electronic compressibility of graphene: The case of vanishing electron correlations and the role of chirality

Abstract

A recent surprising finding that electronic compressibility measured experimentally in monolayer graphene can be described solely in terms of the kinetic energy [J. Martin, et al., Nat. Phys. 4, 144 (2008)] is explained theoretically as a direct consequence of the linear energy dispersion and the chirality of massless Dirac electrons. For bilayer graphene we show that contributions to the compressibility from the electron correlations are restored. We attribute the difference to the respective momentum dependence of the low energy band structures of the two materials.

arXiv commentFour pages. Published version. Journal reference is Physical Review B 80, 081408(R) (2009)

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• Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
• Quantum capacitance and Landau parameters of massless Dirac fermions in graphene
• Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
• The compressibility of graphene
• Spin Transitions in Graphene Butterflies at an Integer Filling Factor
• Electron Correlations in Bilayer Graphene
• Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties
• Angular Distribution of Electrons in Photoionization of Atoms Adsorbed on a Graphene Sheet