Theory of Bernstein Modes in Graphene

Abstract

We present a theoretical description of Bernstein modes that arise as a result of the coupling between plasmon-like collective excitations (upper-hybrid mode) and inter-Landau-level excitations, in graphene in a perpendicular magnetic field. These modes, which are apparent as avoided level crossings in the spectral function obtained in the random-phase approximation, are described to great accuracy in a phenomenological model. Bernstein modes, which may be measured in inelastic light-scattering experiments or in photo-conductivity spectroscopy, are a manifestation of the Coulomb interaction between the electrons and may be used for a high-precision measurement of the upper-hybrid mode at small non-zero wave vectors.

5 pages. 2 figures; slightly extended version, title changed; accepted for publication in Phys. Rev. B

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• Plasmons in tunnel-coupled graphene layers: backward waves with quantum cascade gain
• Magnetoplasmons in quasi-neutral epitaxial graphene nanoribbons
• Magnetoplasmons of the tilted-anisotropic Dirac cone material $\alpha -$(BEDT-TTF)${}_2$I${}_3$
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• The energy scale of Dirac electrons in Cd3As2
• Combined Effect of Stacking and Magnetic Field on Plasmon Excitations in Bilayer Graphene
• Magneto-optical conductivity of monolayer transition metal dichalcogenides in the presence of proximity-induced exchange interaction and external electrical field
• Electrically tunable magnetoplasmons in a monolayer of silicene or germanene
• Strongly nonlinear Bernstein modes in graphene reveal plasmon-enhanced near-field magnetoabsorption
• Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field
• Equatorial magnetoplasma waves