Magnetocapacitance of a graphene monolayer

TL;DR

This paper provides a theoretical analysis of magnetocapacitance in graphene monolayers, highlighting enhanced and more temperature-robust magnetic oscillations compared to traditional 2DEG systems, due to the unique Dirac electron properties.

Contribution

It introduces a detailed theoretical comparison of magnetocapacitance and density of states in graphene versus 2DEG, emphasizing the effects of Berry's phase on magnetic oscillations.

Findings

Magnetocapacitance oscillations are more robust in graphene.

A π phase shift exists between graphene and 2DEG oscillations.

Graphene's Dirac electrons acquire a Berry's phase.

Abstract

We present a theoretical study of magnetocapacitance in a graphene monolayer at finite temperature taking into account the effects of disorder. The density of states (DOS) and magnetocapacitance found for graphene are compared to those found in standard two dimensional electron gas (2DEG) systems. The magnetic oscillations in DOS and magnetocapacitance are found to be enhanced and much more robust with respect to temperature damping in monolayer graphene in comparison with a 2DEG. Furthermore, we find that there is a $\pi$ phase shift between magnetic oscillations in the two systems which can be attributed to Dirac electrons in graphene acquiring a Berry's phase as they traverse a closed path in a magnetic field.