Semiclassical theory for plasmons in two-dimensional inhomogeneous media

Abstract

The progress in two-dimensional materials has led to rapid experimental developments in quantum plasmonics, where light is manipulated using plasmons. Although numerical methods can be used to quantitatively describe plasmons in spatially inhomogeneous systems, they are limited to relatively small setups. Here, we present a novel semi-analytical method to describe plasmons in two-dimensional inhomogeneous media within the framework of the Random Phase Approximation (RPA). Our approach is based on the semiclassical approximation, which is formally applicable when the length scale of the inhomogeneity is much larger than the plasmon wavelength. We obtain an effective classical Hamiltonian for quantum plasmons by first separating the in-plane and out-of-plane degrees of freedom and subsequently employing the semiclassical Ansatz for the electrostatic plasmon potential. We illustrate this general theory by considering scattering of plasmons by radially symmetric inhomogeneities. We derive a semiclassical expression for the differential scattering cross section and compute its numerical values for a specific model of the inhomogeneity.

arXiv comment28 pages, 9 figures

References in corpus (23)

• Van der Waals heterostructures
• Maximally localized Wannier functions: Theory and applications
• Graphene plasmonics
• Gate-tuning of graphene plasmons revealed by infrared nano-imaging
• Optical nano-imaging of gate-tuneable graphene plasmons
• Quantum Plasmonics
• Polaritons in layered 2D materials
• Infrared nanoscopy of Dirac plasmons at the graphene-SiO2 interface
• Strength of effective Coulomb interactions in graphene and graphite
• Edge and waveguide THz surface plasmon modes in graphene micro-ribbons
• The dielectric genome of van der Waals heterostructures
• Environmentally-Sensitive Theory of Electronic and Optical Transitions in Atomically-Thin Semiconductors
• Wannier Function Approach to Realistic Coulomb Interactions in Layered Materials and Heterostructures
• First-principles Theory of Nonlocal Screening in Graphene
• Screening and plasmons in pure and disordered single- and bilayer black phosphorus
• Plasmon confinement in fractal quantum systems
• Coulomb interactions and screening effects in few-layer black phosphorus: a tight-binding consideration beyond the long-wavelength limit
• Electronic optics in graphene in the semiclassical approximation
• Lippmann-Schwinger theory for two-dimensional plasmon scattering
• Quantum capacitance and Landau parameters of massless Dirac fermions in graphene
• Plasmonic Quantum Dots in Twisted Bilayer Graphene
• Plasmonic Waveguides from Coulomb-Engineered Two-Dimensional Metals
• Semiclassical theory for plasmons in spatially inhomogeneous media

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