Difference frequency generation of surface plasmon-polaritons in Landau quantized graphene
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2018 American Physical Society. 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 of W/W2 is predicted from structures of 10-100m size. We investigate a variety of waveguide configurations to identify the optimal geometry for maximum efficiency.