Electronic structure of magnetically modulated graphene

TL;DR

This paper provides a theoretical analysis of how magnetic modulation affects the electronic properties of graphene, revealing unique oscillatory behaviors in the density of states and bandwidth.

Contribution

It introduces a theoretical model for magnetically modulated graphene and compares its electronic oscillations to electrically modulated graphene and standard electron gases.

Findings

Magnetic Weiss oscillations are observed in the density of states and bandwidth.

Oscillations are larger and out of phase compared to electrically modulated graphene.

Oscillations are in phase but smaller in amplitude compared to standard electron gas systems.

Abstract

We present a theoretical study of the electronic structure of magnetically modulated graphene. We consider monolayer graphene in the presence of a perpendicular magnetic field and a unidirectional weak magnetic modulation. The density of states and the bandwidth of the Dirac electrons in this system are determined. We have found magnetic Weiss oscillations in the bandwidth and the density of states. These oscillations are out of phase and larger in amplitude than the ones in the electrically modulated graphene. In addition, these oscillations are in phase and smaller in amplitude to those of magnetically modulated standard electron gas system.