The compressibility of graphene

Abstract

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.

15 preprint-style pages, 5 figures

References in corpus (23)

• The electronic properties of graphene
• Gate-induced insulating state in bilayer graphene devices
• Asymmetry gap in the electronic band structure of bilayer graphene
• Carrier Statistics and Quantum Capacitance of Graphene Sheets and Ribbons
• Midgap states and charge inhomogeneities in corrugated graphene
• Spatially resolved spectroscopy of monolayer graphene on SiO2
• Chirality and Correlations in Graphene
• Ground-state of graphene in the presence of random charged impurities
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Microscopic Polarization in Bilayer Graphene
• Electron-hole puddles in the absence of charged impurities
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Measurement of the electronic compressibility of bilayer graphene
• Mechanism for puddle formation in graphene
• Electronic compressibility of a graphene bilayer
• Capacitance of Graphene Bilayer as a Which-Layer Probe
• Inhomogenous electronic structure, transport gap, and percolation threshold in disordered bilayer graphene
• Compressibility of bilayer graphene
• Electronic compressibility of graphene: The case of vanishing electron correlations and the role of chirality
• Optical and transport gaps in gated bilayer graphene
• Effect of disorder on the ground-state properties of graphene
• Compressibility of graphene
• dmu/dn In suspended bilayer graphene: the interplay of disorder and band gap

Cited by in corpus (3)

• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• Inhomogeneity and nonlinear screening in gapped bilayer graphene
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$