Second-order nonlinear optical response of graphene
Abstract
Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present a rigorous quantum-mechanical theory of the second-order nonlinear response of graphene beyond the electric dipole approximation, which includes both intraband and interband transitions. The resulting nonlinear susceptibility tensor satisfies all symmetry and permutation properties, and can be applied to all three-wave mixing processes. We obtain useful analytic expressions in the limit of a degenerate electron distribution, which reveal quite strong second-order nonlinearity at long wavelengths, Fermi-edge resonances, and unusual polarization properties.
Cite
@article{arxiv.1609.02073,
title = {Second-order nonlinear optical response of graphene},
author = {Yongrui Wang and Mikhail Tokman and Alexey Belyanin},
journal= {arXiv preprint arXiv:1609.02073},
year = {2016}
}
Comments
The new version makes the bold font vector notation uniform throughout the paper and corrects a misprint in Eq. (34): replaces v_F^2 with v_F^3 in the common factor