Plasmons and their interaction with electrons in trilayer graphene

Abstract

The interaction between electrons and plasmons in trilayer graphene is investigated within the Overhauser approach resulting in the 'plasmaron' quasi-particle. This interaction is cast into a field theoretical problem, nd its effect on the energy spectrum is calculated using improved Wigner-Brillouin perturbation theory. The plasmaron spectrum is shifted with respect to the bare electron spectrum by $\Delta E(\mathbf{k})\sim 50÷200\mathrm{meV}$ for ABC stacked trilayer graphene and for ABA trilayer graphene by $\Delta E(\mathbf{k})\sim 30÷150\mathrm{meV}$ ($\Delta E(\mathbf{k})\sim 1÷5\mathrm{meV}$) for the hyperbolic linear) part of the spectrum. The shift in general increases with the electron concentration $n_e$ and electron momentum. The dispersion of plasmarons is more pronounced in \textit{ABC} stacked than in ABA tacked trilayer graphene, because of the different energy band structure and their different plasmon dispersion.

arXiv admin note: substantial text overlap with arXiv:1310.6234

References in corpus (8)

• Boron nitride substrates for high-quality graphene electronics
• Graphene plasmonics
• Dielectric function, screening, and plasmons in 2D graphene
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Cited by in corpus (1)

• Spin and valley polarization of plasmons in silicene due to external fields