Negative dynamic conductivity of a current driven array of graphene nanoribbons

Abstract

We consider a periodic array of graphene nanoribbons under the action of a strong dc electric field $E_0$ and an external electromagnetic excitation with the frequency $\omega$ and the lateral wave vector $q$. Solving the quasi-classical Boltzmann kinetic equation and calculating the surface dynamic conductivity ${\sigma }_{2D}(q,\omega ,E_0)$ and the absorption coefficient of such a system we show that the real part of the conductivity and the absorption coefficient may become negative under certain conditions. Physically this corresponds to the amplification of the electromagnetic waves at the expense of the energy of the direct current source. The results are discussed in connection with experiments on the surface acoustic waves and on the Smith-Purcell-type graphene-based terahertz emitter.

arXiv comment18 pages, 15 figures

References in corpus (24)

• The electronic properties of graphene
• Micrometer-scale ballistic transport in encapsulated graphene at room temperature
• Strong nonlinear optical response of graphene flakes measured by four-wave mixing
• Regenerative oscillation and four-wave mixing in graphene optoelectronics
• Large nonlinear Kerr effect in graphene
• Non-linear electromagnetic response of graphene
• Third harmonic generation in graphene and few-layer graphite films
• Optical Third-Harmonic Generation in Graphene
• Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems
• Quantum theory of the third-order nonlinear electrodynamic effects in graphene
• Transport properties of graphene in the high-current limit
• Third order nonlinearity of graphene: effects of phenomenological relaxation and finite temperature
• Extraordinary nonlinear plasmonics in graphene nanoislands
• Plasma instability and amplification of electromagnetic waves in low-dimensional electron systems
• Efficient nonlinear generation of THz plasmons in graphene and topological insulators
• Optical bistability of graphene in the terahertz range
• Second harmonic generation in multilayer graphene induced by direct electric current
• Quantum Effects in the Nonlinear Response of Graphene Plasmons
• Plasmon-enhanced nonlinear wave mixing in nanostructured graphene
• Nonlinear optics of graphene in a strong magnetic field
• Graphene-based voltage-tunable coherent terahertz emitter
• Drift-induced modifications to the dynamical polarization of graphene
• Giant enhancement of the third harmonic in graphene integrated in a layered structure
• Radiative damping and synchronization in a graphene-based terahertz emitter

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• Nonperturbative quasi-classical theory of the nonlinear electrodynamic response of graphene
• Electrical Tuning of Terahertz Plasmonic Crystal Phases
• Optical Kerr Effect in Graphene: Theoretical Analysis of the Optical Heterodyne Detection Technique
• Third harmonic generation from graphene lying on different substrates: Optical-phonon resonances and interference effects
• Spatial dispersion of the high-frequency conductivity of two-dimensional electron gas subjected to a high electric field: collisionless case
• Electro-Optics of Current-carrying Graphene
• In-plane optical phonon modes of current-carrying graphene
• THz frequency- and wavevector-dependent conductivity of low-density drifting electron gas in GaN. Monte Carlo calculations
• Non-linear photoconductivity of strongly driven graphene