Lippmann-Schwinger theory for two-dimensional plasmon scattering

Torre, Iacopo; Katsnelson, M. I.; Diaspro, Alberto; Pellegrini, Vittorio; Polini, Marco

doi:10.1103/physrevb.96.035433

Cited by 26 publications

(35 citation statements)

References 32 publications

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“…Lately, a great deal of attention has been devoted to the scattering characteristics of GPs by different inhomogeneities, as this is of particular importance for analyzing and controlling the GP propagation. GP efficient reflection has been already proved at graphene edges [6,7], grain boundaries [8,9], nanogaps in SiC terraces [10], boundaries introduced by ion beams [11], and at one-dimensional electrostatic barriers arising from a line of charges [12]. All previous cases can be related to conductivity inhomogeneities.…”

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confidence: 99%

Graphene Plasmon Reflection by Corrugations

et al. 2017

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Graphene plasmons (GPs) exhibit extreme confinement of the associated electromagnetic fields. For that reason, they are promising candidates for controlling light in nanoscale devices. However, despite the ubiquitous presence of surface corrugations in graphene, very little is known on how they affect the propagation of GPs. Here we perform a comprehensive theoretical analysis of GP scattering by both smooth and sharp corrugations. For smooth corrugations, we demonstrate that scattering of GPs depends on the dielectric environment, being strongly suppressed when graphene is placed between two dielectrics with the same refractive indices. We also show that sharp corrugations can act as effective GP reflectors, even when their dimensions are small in comparison with the GP wavelength. Additionally, we provide simple analytical expressions for the reflectance of GP valid in an ample parametric range. Finally, we connect these results with potential experiments based on scattering scanning near-field optical microscopy (s-SNOM) showing how to extract the GP reflectance from s-SNOM images.Graphene plasmons (GPs) -collective oscillations of free Dirac charge carriers in graphene coupled to electromagnetic fields -have an extremely short in-plane wavelength and are strongly confined to graphene sheet [1][2][3][4][5]. In addition, the GP wavelength depends on the Fermi level in graphene, and therefore can be manipulated by electrostatic gating. Lately, a great deal of attention has been devoted to the scattering characteristics of GPs by different inhomogeneities, as this is of particular importance for analyzing and controlling the GP propagation. GP efficient reflection has been already proved at graphene edges [6,7], grain boundaries [8,9], nanogaps in SiC terraces [10], boundaries introduced by ion beams [11], and at one-dimensional electrostatic barriers arising from a line of charges [12]. All previous cases can be related to conductivity inhomogeneities. Additionally, graphene also presents relief defects. In fact, free standing graphene is not flat. But neither it is graphene placed on a substrate (supported graphene), which has a tendency to form corrugations due to either imperfections of the substrate [13 -15] or to the formation of graphene wrinkles (characterized by widths between one and tens of nm, heights below 15 nm and lengths above 100 nm) [16 -21], ripples (which are corrugations with comparable height and width and smaller than wrinkles) [22] or bubbles (out-of-plane graphene deformations, with different shapes and sizes from tens to hundreds of nm in diameter and tens of nm in height, which accumulate air or other gas residuals between graphene and the substrate) [23 -28].The propagation of GPs can be strongly affected by the presence of these corrugations. However, very little is known about the scattering process, with the notable exception of ref. [28], which describes how a field hotspot can be formed by launching GPs in nano-bubbles.

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Graphene Plasmon Reflection by Corrugations

et al. 2017

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“…The electrons interact longer with each plasma wavefront and, therefore, exhibit an enhanced response. 4 For nonlocal RPA conductivity under a spatially varying Fermi level, as in our metagate-tuned graphene, we adopt a semiphenomenological extension from the homogeneous case 31,47 σ ½n pheno ðω; q; q 0 Þ ¼…”

Section: Nonlocal Optical Response Of Dirac Electronsmentioning

confidence: 99%

Nanopolaritonic second-order topological insulator based on graphene plasmons

2020

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Ultrastrong confinement, long lifetime, and gate-tunability of graphene plasmon polaritons (GPPs) motivate wide-ranging efforts to develop GPP-based active nanophotonic platforms. Incorporation of topological phenomena into such platforms will ensure their robustness as well as enrich their capabilities as promising test beds of strong light-matter interactions. A recently reported approach suggests an experimentally viable platform for topological graphene plasmonics by introducing nanopatterned gatesmetagates. We propose a metagate-tuned GPP platform emulating a second-order topological crystalline insulator. The metagate imprints its crystalline symmetry onto graphene by modulating its chemical potential via field-effect gating. Depending on the gate geometry and applied voltage, the resulting two-dimensional crystal supports either one-dimensional chiral edge states or zero-dimensional midgap corner states. The proposed approach to achieving the hierarchy of nontrivial topological invariants at all dimensions lower than the dimension of the host material paves the way to utilizing higher-order topological effects for onchip and ultracompact nanophotonic waveguides and cavities.

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“…where ṽ(ω, k, k ′ ) is the effective screened Coulomb interaction, χ(ω, k, k ′ ) is the density response function of graphene and φ ext (ω, k) is the external driving potential [29].…”

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Plasmonic band and defect mode of one dimensional graphene lattice

Zhou,

Zeng,

Din

et al. 2021

Preprint

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Lippmann-Schwinger theory for two-dimensional plasmon scattering

Cited by 26 publications

References 32 publications

Graphene Plasmon Reflection by Corrugations

Graphene Plasmon Reflection by Corrugations

Nanopolaritonic second-order topological insulator based on graphene plasmons

Plasmonic band and defect mode of one dimensional graphene lattice

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