Plasmon anomaly in the dynamical optical conductivity of graphene

Abstract

We theoretically consider the effect of plasmon collective modes on the frequency-dependent conductivity of graphene in the presence of the random static potential of charged impurities. We develop an equation of motion approach suitable for the relativistic Dirac electrons in graphene that allows analytical high-frequency asymptotic solution in the presence of both disorder and interaction. We show that the presence of the acoustic plasmon pole (i.e. the plasmon frequency vanishing at long wavelengths as the square-root of wavevector) in the inverse dynamical dielectric function of graphene gives rise to a strong variation with frequency of the screening effect of the relativistic electron gas in graphene on the potential of charged impurities. The resulting frequency-dependent impurity scattering rate gives rise to a broad peak in the frequency-dependent graphene optical conductivity with the amplitude and the position of the peak being sensitive to the detailed characteristics of disorder and interaction in the system. This sample (i.e. disorder, elecron density and interaction strength) dependent redistribution of the spectral weight in the frequency-dependent graphene conductivity may have already been experimentally observed in optical measurements.

13 pages, 4 figures. published version

References in corpus (32)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Graphene plasmonics
• Gate-tuning of graphene plasmons revealed by infrared nano-imaging
• Measurement of the Optical Conductivity of Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• The optical conductivity of graphene in the visible region of the spectrum
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Infrared nanoscopy of Dirac plasmons at the graphene-SiO2 interface
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Quantum critical transport in clean graphene
• On the universal AC optical background in graphene
• Terahertz and Infrared Spectroscopy of Gated Large-Area Graphene
• Collective modes of the massless Dirac plasma
• Sum Rules for the Optical and Hall Conductivity in Graphene
• Effect of electron-electron interactions on the conductivity of clean graphene
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Collective cyclotron motion of the relativistic plasma in graphene
• The quasiparticle spectral function in doped graphene
• Conductivity of suspended and non-suspended graphene at finite gate voltage
• Interaction corrections to the polarization function of graphene
• Observation of suppressed terahertz absorption in photoexcited graphene
• Excitonic effects in the optical conductivity of gated graphene
• f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene
• Quantum kinetic equation and universal conductance fluctuations in graphene
• Velocity renormalization and anomalous quasiparticle dispersion in extrinsic graphene
• Emergence of Plasmaronic Structure in the Near Field Optical Response of Graphene
• Optical Self Energy in Graphene due to Correlations
• Impact of Electron-Phonon Coupling on Near-Field Optical Spectra
• Tracking Quasiparticle Energies in Graphene with Near Field Optics
• Broadband electromagnetic response and ultrafast dynamics of few-layer epitaxial graphene

Cited by in corpus (7)

• Colloquium: Graphene spectroscopy
• Magneto-optics of general pseudospin-s two-dimensional Dirac-Weyl fermions
• Tunable plasmonic reflection by bound 1D electron states in a 2D Dirac metal
• Optical signatures of nonlocal plasmons in graphene
• Screening effect on the optical absorption in graphene and metallic monolayers
• Dielectric screening of surface states in a topological insulator
• Phenomenological plasmon broadening and relation to the dispersion