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

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.

arXiv comment9 pages, 1 figure Phys. Rev. B (accepted for publication)

References in corpus (9)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Collective Excitations of Dirac Electrons in Graphene
• Edge magnetoplasmons in periodically modulated structures

Cited by in corpus (9)

• Properties of Graphene: A Theoretical Perspective
• Peculiar Nature of Snake States in Graphene
• Electronic and optical properties of graphene nanoribbons in external fields
• Magnetoplasmons in layered graphene structures
• Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
• Semimetalic graphene in a modulated electric potential
• Visualizing Landau levels of Dirac electrons in a one dimensional potential
• Variational Approach for the Effects of Periodic Modulations on the Spectrum of Massless Dirac Fermion
• The selection rule of graphene in a composite magnetic field