Non-linear effects in the cyclotron resonance of a massless quasi-particle in graphene

Abstract

We consider the classical motion of a massless quasi-particle in a magnetic field and under a weak electromagnetic radiation with the frequency $\omega$. Due to the non-parabolic, linear energy dispersion, the particle responds not only at the frequency $\omega$ but generates a broad frequency spectrum around it. The linewidth of the cyclotron resonance turns out to be very broad even in a perfectly pure material which allows one to explain recent experimental data in graphene. It is concluded that the linear response theory does not work in graphene in finite magnetic fields.

5 pages, 4 figures

References in corpus (10)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
• Non-linear electromagnetic response of graphene
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Cyclotron resonance in bilayer graphene
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
• Cyclotron radiation and emission in graphene

Cited by in corpus (9)

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• Quasi-classical cyclotron resonance of Dirac fermions in highly doped graphene
• Quantum Theory of the Third-Harmonic Generation in Graphene
• Inverse Faraday effect in graphene and Weyl semimetals
• Influence of the Constant Electric Field on the Mutual Rectification of the Electromagnetic Waves in Graphene Superlattice
• Theory of the strongly nonlinear electrodynamic response of graphene: A hot electron model
• Classical to quantum crossover of the cyclotron resonance in graphene: A study of the strength of intraband absorption
• Terahertz Dynamics of Quantum-Confined Electrons in Carbon Nanomaterials
• Third harmonic generation from graphene lying on different substrates: Optical-phonon resonances and interference effects