Extreme Terahertz Nonlinearity of AlGaN/GaN-based Grating-Gate Plasmonic Crystals

Abstract: We present a novel approach to enhance THz nonlinearity by the resonant excitation of two-dimensional plasmons in grating-gate plasmonic crystals. Using a high-electric-field THz pump-THz probe technique, we investigate the nonlinear interaction of spectrally narrow THz pulses with plasmon oscillations in a two-dimensional electron gas on an AlGaN/GaN interface integrated with metallic grating. Nonlinear effects are observed as ultrafast, pump-induced changes in THz transmission, with relative transparency strongly dependent on plasmonic mode excitation and saturating at pump fluences of about 200 nJ cm-2. The maximal relative transparency, reaching 45 % at 350 nJ cm -2, occurs under resonant excitation of a localized plasmon mode at the strong electrostatic modulation of 2DEG concentration. Transient dynamics reveal ultrafast relaxation times of 15-20 ps, while the effects can be observed at elevated temperatures of up to 150 K. A nonlinear model of plasmonic crystal, based on finite-difference time-domain electrodynamic simulations coupled with viscous hydrodynamic electron transport model, elucidates key nonlinear mechanisms, including near-field effects under metallic gratings, electron heating, plasmon resonance broadening, and redshift. These results demonstrate that even conventional semiconductors such as AlGaN/GaN can achieve nonlinear THz responses comparable to or exceeding those of graphene, showing strong potential for ultrafast THz modulation and nonlinear photonics applications.