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.

arXiv comment14 pages, 9 figures; three figures added; typos corrected; references added; discussion of plasmons extended

References in corpus (37)

• The electronic properties of graphene
• Quantum Spin Hall Effect in Graphene
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Impurity induced spin-orbit coupling in graphene
• Graphene Terahertz Plasmon Oscillators
• Rashba effect in the graphene/Ni(111) system
• Dynamical polarization, screening, and plasmons in gapped graphene
• Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene
• Plasmons and near-field amplification in double-layer graphene
• Excitation spectrum and high energy plasmons in single- and multi-layer graphene
• Coulomb screening and collective excitations in a graphene bilayer
• Linear response of doped graphene sheets to vector potentials
• Double-layer graphene and topological insulator thin-film plasmons
• Charge response function and a novel plasmon mode in graphene
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Dynamical polarizability of graphene beyond the Dirac cone approximation
• Dynamical polarizability of graphene irradiated by circularly polarized ac electric fields
• Anisotropic plasmons in a two-dimensional electron gas with spin-orbit interaction
• Measurable lattice effects on the charge and magnetic response in graphene
• Dynamical response functions and collective modes of bilayer graphene
• Screening properties of the two-dimensional electron gas with spin-orbit coupling
• Dynamical screening in bilayer graphene
• Beating of Friedel oscillations induced by spin-orbit interaction
• Dynamical current-current susceptibility of gapped graphene
• Dynamical current-current correlation of the hexagonal lattice and graphene
• Anisotropic splitting of intersubband spin plasmons in quantum wells with bulk and structural inversion asymmetry
• Screening and collective modes in gapped bilayer graphene
• Theoretical study of interacting hole gas in p-doped bulk III-V semiconductors
• Features due to spin-orbit coupling in the optical conductivity of single-layer graphene
• Analytical expressions for the polarizability of the honeycomb lattice
• Dielectric function of the semiconductor hole gas
• Dielectric function of the semiconductor hole liquid: Full frequency and wave vector dependence
• Screening in graphene antidot lattices

Cited by in corpus (30)

• Plasmonics in Dirac systems: from graphene to topological insulators
• Model spin-orbit coupling Hamiltonians for graphene systems
• Plasmons and screening in a monolayer of MoS${}_2$
• Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices
• Anisotropic plasmons, Friedel oscillations and dynamical screening in $8-Pmmn$ borophene
• Probing the Topological Phase Transition via Density Oscillations in Silicene and Germanene
• Plasmonics in topological insulators: Spin-charge separation, the influence of the inversion layer, and phonon-plasmon coupling
• Nonequilibrium plasmons with gain in graphene
• Dynamical polarizability, screening, and plasmons in one, two, and three dimensional massive Dirac systems
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Infrared to terahertz optical conductivity of $n$-type and $p$-type monolayer MoS${}_2$ in the presence of Rashba spin-orbit coupling
• Tunable Intrinsic Plasmons due to Band Inversion in Topological Materials
• Spin susceptibility of two-dimensional transition metal dichalcogenides
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Controlling plasmon modes and damping in buckled two-dimensional material open systems
• Anisotropic Friedel oscillations in graphene-like materials: The Dirac point approximation in wave-number dependent quantities revisited
• Relaxation times and charge conductivity of silicene
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Interband and intraband transition, dynamical polarization and screening of the monolayer and bilayer silicene in low-energy tight-binding model
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Plasmons and screening in finite-bandwidth 2D electron gas
• Dielectric screening of surface states in a topological insulator
• Graphene Electrodynamics in the presence of the Extrinsic Spin Hall Effect
• Dynamical spin-spin susceptibility of Silicene
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Electronic transport and dynamical polarization in bilayer silicene-like system
• Dynamical polarization and the optical response of silicene and related materials
• Plasmonic detection of Rashba spin-orbit coupling in monolayer transition-metal dichalcogenides