Effect of disorder on the ground-state properties of graphene

TL;DR

This paper investigates how disorder from charged impurities and surface ripples affects the ground-state properties of graphene, using advanced theoretical models to match experimental observations.

Contribution

It introduces a combined mode-coupling and RPA approach to accurately account for disorder and many-body interactions in graphene's ground state.

Findings

Good agreement with experimental inverse compressibility data

Quantitative analysis of impurity and ripple effects

Enhanced understanding of disorder impact on graphene properties

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.