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

2007/07/31 by M. Tahir, K. Sabeeh
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.76.195416

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

arxiv created 2007/10/19 · openalex publication_date 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 two-dimensional electron gas (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.

Citations