Effect of disorder on the ground-state properties of graphene

Abstract

We calculate the ground-state energy of Dirac electrons in graphene in the presence of disorder. We take randomly distributed charged impurities at a fixed distance from the graphene sheet and surface fluctuations (ripples) as the main scattering mechanisms. Mode-coupling approach to scattering rate and random-phase approximation for ground-state energy incorporating the many-body interactions and the disorder effects yields good agreement with experimental inverse compressibility.

arXiv commentExtended introduction and discussion. To appear in Phys. Rev. B

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• Drift-induced modifications to the dynamical polarization of graphene
• Electronic ground state properties of strained graphene
• Anisotropic RKKY interaction in spin polarized graphene
• Quasiparticle properties of graphene in the presence of disorder
• Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
• Quantum capacitance of double-layer graphene
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• The compressibility of graphene
• Inhomogeneity and nonlinear screening in gapped bilayer graphene
• Spin polarization dependence of quasiparticle properties in graphene
• Temperature dependence of the paramagnetic spin susceptibility of doped graphene