Difference frequency generation of surface plasmon-polaritons in Landau quantized graphene

Abstract

We develop a rigorous quantum-mechanical theory of the nonlinear optical process of difference frequency generation of surface plasmon-polaritons in Landau-quantized graphene. Although forbidden in the electric-dipole approximation, the second-order susceptibility is surprisingly high, equivalent to the bulk magnitude above $10^{-3}$ m/V. We consider the graphene monolayer as a nonlinear optical component of a monolithic photonic chip with integrated pump fields. The nonlinear power conversion efficiency of the order of tens $\mu$W/W${}^2$ is predicted from structures of $10-100$ $\mu$m size. We investigate a variety of waveguide configurations to identify the optimal geometry for maximum efficiency.

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• Surface-polaritonic phase singularities and multimode polaritonic frequency combs via dark rogue-wave excitation in hybrid plasmonic waveguide
• Extreme anisotropy and gyrotropy of surface polaritons in Weyl semimetals
• Optical properties of graphane in infrared range
• Relaxation operator for quasiparticles in a solid
• Magnetic dipole absorption of light at intersubband transitions in quantum wells