Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene

TL;DR

This paper analyzes the magnetoplasmon spectrum of Dirac electrons in graphene under weak electric modulation and magnetic field, revealing larger Weiss oscillations compared to traditional 2DEG systems.

Contribution

It provides analytical results for the intra-Landau band plasmon spectrum in graphene, highlighting the presence and magnitude of Weiss oscillations in this context.

Findings

Weiss oscillations are observed in the magnetoplasmon spectrum of graphene.

Oscillations are larger in amplitude than in conventional 2DEG.

Results are presented as a function of inverse magnetic field.

Abstract

We present the collective excitations spectrum (magnetoplasmon spectrum) of Dirac electrons in a weakly modulated single graphene layer in the presence of a uniform magnetic field. We consider electric modulation in one-dimension and the magnetic field applied perpendicular to graphene.We derive analytical results for the intra-Landau band plasmon spectrum within the self-consistent-field approach. We find Weiss oscillations in the magnetoplasmon spectrum which is the primary focus of this work. Results are presented for the intra-Landau band magnetoplasmon spectrum as a function of inverse magnetic field. These results are also compared with those of conventional 2DEG. We have found that the Weiss oscillations in the magnetoplasmon spectrum are larger in amplitude compared to those in conventional 2DEG for the same modulation strength, period of modulation and electron density.