The second-order nonlinear optical susceptibility Π(2) for second harmonic generation is calculated for gapped graphene. The linear and second-order nonlinear plasmon excitations are investigated in context of second harmonic generation (SHG). We report a red shift and an order of magnitude enhancement of the SHG resonance with growing gap, or alternatively, reduced electro-chemical potential.
@article{arxiv.1311.4828,
title = {Second Harmonic Generation in Gapped Graphene},
author = {Godfrey Gumbs and Yonatan Abranyos and Upali Aparajita and Oleksiy Roslyak},
journal= {arXiv preprint arXiv:1311.4828},
year = {2015}
}