Density of states and zero Landau level probed through capacitance of graphene

TL;DR

This study uses capacitance measurements to explore the density of states and Landau levels in graphene, revealing robust zero Landau level features at room temperature and the effects of charge inhomogeneity.

Contribution

It demonstrates a method to accurately map the density of states in graphene and compares experimental results with theoretical predictions.

Findings

Landau oscillations in density of states are clearly observed.

Zero Landau level is detectable at room temperature in moderate magnetic fields.

Charge inhomogeneity broadens the zero Landau level more than other levels.

Abstract

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance measurements have allowed us to accurately map the density of states D, and compare it against theoretical predictions. Landau oscillations in D are robust and zero Landau level (LL) can easily be seen at room temperature in moderate fields. The broadening of LLs is strongly affected by charge inhomogeneity that leads to zero LL being broader than other levels.