Abstract-Quantum theory of the third-order nonlinear electrodynamic effects of graphene

S. A. Mikhailov

Phys. Rev. B 93, 085403 – Published 2 February 2016

https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.085403

The linear energy dispersion of graphene electrons leads to a strongly nonlinear electromagnetic response of this material. We develop a general quantum theory of the third-order nonlinear local dynamic conductivity of graphene σαβγδ(ω1,ω2,ω3), which describes its nonlinear response to a uniform electromagnetic field. The derived analytical formulas describe a large number of different nonlinear phenomena such as the third-harmonic generation, the four-wave mixing, the saturable absorption, the second-harmonic generation stimulated by a dc electric current, etc., which may be used in different terahertz and optoelectronic devices.

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