The compressibility of graphene

TL;DR

This paper reviews the electronic compressibility of graphene, discussing theoretical models, experimental data, and the effects of interactions and disorder on monolayer and bilayer graphene.

Contribution

It provides a comprehensive analysis of theoretical calculations and experimental results related to the compressibility of graphene, including detailed Hamiltonian contributions.

Findings

Theoretical models align with experimental observations of graphene's compressibility.

Electron-electron interactions significantly influence graphene's electronic properties.

Disorder effects are crucial in understanding experimental measurements.

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.