Excitation spectrum and high-energy plasmons in single-layer and multilayer graphene

2011/03/31 by Shengjun Yuan, Rafael Roldán, M. I. Katsnelson +1 · 118 citations
Materials Science · Physics and Astronomy · #Atomic physics #Condensed matter physics #Electron #Excitation #Graphene #Graphene research and applications #Hamiltonian (control theory) #Materials science #Molecular physics #Nanotechnology #Optoelectronics #Physics #Plasmon #Polarizability #Quantum and electron transport phenomena #Quantum mechanics #Random phase approximation #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci #physics.comp-ph

paper · pdf · doi:10.1103/physrevb.84.035439

published in Physical Review B 84(3) (American Physical Society) · Final version appeared in PRB

openalex publication_date 2011/07/27 · arxiv created 2011/07/28 · arxiv updated 2011/07/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we study the excitation spectrum of single-layer and multilayer graphene beyond the Dirac cone approximation. The dynamical polarizability of graphene is computed using a full \ensuremathπ-band tight-binding model, considering the possibility of interlayer hopping in the calculation. The effect of electron-electron interaction is considered within the random phase approximation. We further discuss the effect of disorder in the spectrum, which leads to a smearing of the absorption peaks. Our results show a redshift of the \ensuremathπ-plasmon dispersion of single-layer graphene with respect to graphite, in agreement with experimental results. The inclusion of interlayer hopping in the kinetic Hamiltonian of multilayer graphene is found to be very important to properly capture the low energy region of the excitation spectrum.

Citations

• Dielectric function, screening, and plasmons in two-dimensional graphene
• Plasmons and the spectral function of graphene
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Quantum Theory of the Dielectric Constant in Real Solids
• The magnetic field particle–hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
• The electronic properties of graphene
• Fast algorithm for finding the eigenvalue distribution of very large matrices
• Resonant Scattering by Realistic Impurities in Graphene

Cited by

• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
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