Amplified-reflection plasmon instabilities in grating-gate plasmonic crystals

Abstract

We identify a possible mechanism of the plasmon instabilities in periodically gated two-dimensional electron systems with a modulated electron density (plasmonic crystals) under direct current. The instability occurs due to the amplified reflection of the small density perturbations from the gated/ungated boundaries under the proper phase matching conditions between the crystal unit cells. Based on the transfer-matrix formalism, we derive the generic dispersion equation for the travelling plasmons in these structures. Its solution in the hydrodynamic limit shows that the threshold drift velocity for the instability can be tuned below the plasmon phase and carrier saturation velocities, and the plasmon increment can exceed the collisional damping rate typical to III-V semiconductors at 77 K and graphene at room temperature.

8 pages, 6 figures, 1 appendix

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• Electrical Tuning of Terahertz Plasmonic Crystal Phases
• Plasmonic Instabilities in Two-dimensional Electron Channels of Variable Width
• Perturbation theory for two-dimensional hydrodynamic plasmons
• Asymmetry-driven plasmon instabilities in confined hydrodynamic electron flows
• Lateral plasmonic crystals: Tunability, dark modes, and weak-to-strong coupling transition
• Plasmons in ballistic nanostructures with stubs: transmission line approach
• Plasma Instability and Amplified Mode Switching Effect in THz Field Effect Transistors with Grating Gate
• Transit-time resonances enabling amplification and generation of terahertz radiation in periodic graphene p-i-n structures with the Zener-Klein interband tunneling
• Theory for Anomalous Terahertz Emission in Striped Cuprate Superconductors
• Plasmons in two-dimensional electron systems with infinite and semi-infinite metal gratings
• Topology in a one-dimensional plasmonic crystal
• Giant Inverse Faraday Effect in Plasmonic Crystal Ring
• Quasi-stationary near-gate plasmons in van der Waals heterostructures