We consider the classical motion of a massless quasiparticle in a magnetic field and under a weak electromagnetic radiation with the frequency ω. Due to the nonparabolic linear energy dispersion, the particle responds not only at the frequency ω 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.
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S. A. Mikhaǐlov (2009) studied this question.
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