Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions

Abstract

We study the dielectric properties of graphene in the presence of Rashba and intrinsic spin-orbit interactions in their most general form, i.e., for arbitrary frequency, wave vector, doping, and spin-orbit coupling (SOC) parameters. The main result consists in the derivation of closed analytical expressions for the imaginary as well as for the real part of the polarization function. Several limiting cases, e.g., the case of purely Rashba or purely intrinsic SOC, and the case of equally large Rashba and intrinsic coupling parameters are discussed. In the static limit the asymptotic behavior of the screened potential due to charged impurities is derived. In the opposite limit ($q=0$, $\omega \to 0$), an analytical expression for the plasmon dispersion is obtained and afterwards compared to the numerical result. Our result can also be applied to related systems such as bilayer graphene or topological insulators.

14 pages, 9 figures; three figures added; typos corrected; references added; discussion of plasmons extended

References in corpus (15)

• The electronic properties of graphene
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• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
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• Charge response function and a novel plasmon mode in graphene
• Screening properties of the two-dimensional electron gas with spin-orbit coupling
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• Dielectric function of the semiconductor hole gas

Cited by in corpus (9)

• Plasmonics in topological insulators: Spin-charge separation, the influence of the inversion layer, and phonon-plasmon coupling
• Nonequilibrium plasmons with gain in graphene
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Tunable Intrinsic Plasmons due to Band Inversion in Topological Materials
• Infrared to terahertz optical conductivity of $n$-type and $p$-type monolayer MoS${}_2$ in the presence of Rashba spin-orbit coupling
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Plasmonic detection of Rashba spin-orbit coupling in monolayer transition-metal dichalcogenides