Intrinsic plasmons in 2D Dirac materials

Abstract

We consider theoretically, using the random phase approximation (RPA), low-energy intrinsic plasmons for two-dimensional (2D) systems obeying Dirac-like linear chiral dispersion with the chemical potential set precisely at the charge neutral Dirac point. The "intrinsic Dirac plasmon" energy has the characteristic $q^{1/2}$ dispersion in the 2D wave-vector $q$, but vanishes as $T^{1/2}$ in temperature for both monolayer and bilayer graphene. The intrinsic plasmon becomes overdamped for a fixed $q$ as $T->0$ since the level broadening (i.e. the decay of the plasmon into electron-hole pairs due to Landau damping) increases as $T^{-1/2}$ as temperature decreases, however, the plasmon mode remains well-defined at any fixed $T$ (no matter how small) as $q->0$. We find the intrinsic plasmon to be well-defined as long as $q<k_{B}T/e^2$. We give analytical results for low and high temperatures, and numerical RPA results for arbitrary temperatures, and consider both single-layer and double-layer intrinsic Dirac plasmons. We provide extensive comparison and contrast between intrinsic and extrinsic graphene plasmons, and critically discuss the prospects for experimentally observing intrinsic Dirac point graphene plasmons.

21 pages, 24 figures

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• Collective modes in a Dirac insulator with short range interactions
• Combined effect of doping and temperature on the anisotropy of low-energy plasmons in monolayer graphene
• The shear viscosity of interacting graphene
• Collective excitations of a system of coupled relativistic and non-relativistic two-dimensional electron gases
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
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• Dynamic correlations in the highly dilute 2D electron liquid: loss function, critical wave vector and analytic plasmon dispersion
• Manifestation of kinetic-inductance in spectrally-narrow terahertz plasmon resonances in thin-film Cd3As2
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• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure