Plasma Wave Instabilities in Non-Equilibrium Graphene

Abstract

We study two-stream instabilities in a non-equilibrium system in which a stream of electrons is injected into doped graphene. As with equivalent non-equilibrium parabolic band systems, we find that the graphene systems can support unstable charge-density waves whose amplitudes grow with time. We determine the range of wavevector $\mathbf{q}$ that are unstable, and their growth rates. We find no instability for waves with wavevectors parallel or perpendicular to the direction of the injected carriers. We find that, within the small wavevector approximation, the angle between $\mathbf{q}$ and the direction of the injected electrons that maximizes the growth rate increases with increasing $|\mathbf{q}|$. We compare the range and strength of the instability in graphene to that of two and three dimensional parabolic band systems.

21 pages, 7 figures

References in corpus (6)

• The electronic properties of graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Single particle relaxation time versus transport scattering time in a 2D graphene layer
• Giant Plasmon Instability in Dual-Grating-Gate Graphene Field-Effect Transistor
• Transport in Graphene Tunnel Junctions
• Surface Plasmon Instability Leading to Emission of Radiation

Cited by in corpus (6)

• Negative Landau damping in bilayer graphene
• Effect of Coulomb carrier drag and terahertz plasma instability in p+-p-i-n-n+ graphene tunneling transistor structures
• A Universal Self-Amplification Channel for Surface Plasma Waves
• Possible self-amplification channel for surface plasma waves
• Fate of electron beam in graphene: Coulomb relaxation or plasma instability?
• Two-Stream Instability and Bernstein-Greene-Kruskal Mode Formation in Coulomb One Component Plasma