Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors

Abstract

We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime.

arXiv comment12 pages, 6 figures, added figure and derivation details

References in corpus (20)

• The electronic properties of graphene
• Graphene plasmonics
• Toward End-to-End, Full-Stack 6G Terahertz Networks
• Plasma instability and amplification of electromagnetic waves in low-dimensional electron systems
• Hydrodynamic model for electron-hole plasma in graphene
• Fizeau Drag in Graphene Plasmonics
• Collision-dominated nonlinear hydrodynamics in graphene
• Theory of the plasma-wave photoresponse of a gated graphene sheet
• Room Temperature Amplification of Terahertz Radiation by Grating-Gate Graphene Structures
• Hydrodynamic theory of transport in doped graphene
• Hydrodynamic electron transport and nonlinear waves in graphene
• Amplified-reflection plasmon instabilities in grating-gate plasmonic crystals
• Current driven "plasmonic boom" instability in three-dimensional gated periodic ballistic nanostructures
• Room Temperature Coherent and Voltage Tunable Terahertz Emission from Nanometer-Sized Field Effect Transistors
• Plasmonic Instabilities in Two-dimensional Electron Channels of Variable Width
• Coherent Terahertz Radiation from a Nonlinear Oscillator of Viscous Electrons
• Exact solution for driven oscillations in plasmonic field-effect transistors
• Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover
• Nonlinear regime of the current instability in a ballistic field effect transistor
• Plasmon damping in electronically open systems

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• Plasma Instability and Amplified Mode Switching Effect in THz Field Effect Transistors with Grating Gate
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
• Application of Madelung Hydrodynamics to Plasmonics and Nonlinear Optics in Two-Dimensional Materials
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Magnetic Localization for In-Body Nano-Communication Medical Systems
• Transverse voltage in anisotropic hydrodynamic conductors
• Carbon nanotubes for polarization sensitive terahertz plasmonic interferometry