Combination Law for Drude–Sommerfeld's Electron Damping in Multilayer Thin Metal Films

Mezzasalma, Stefano A.; Janicki, Vesna; Salamon, Krešimir; Sancho‐Parramon, Jordi

doi:10.1002/pssr.201800149

Cited by 3 publications

(3 citation statements)

References 49 publications

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“…A primary shape effect in LSP resonance may be detected by the so-called figure of merit, the ratio between enhanced local and incident fields, whose formal dependence on the real and imaginary parts of the complex dielectric function is changing with the particle shape . The linear optical response then may be derived from Drude’s model or some semiclassical extension of it, , aiming to include the relevant electron relaxation and transition processes implied by the metal band structure. Such features, clearly, are still material- and chemistry-mediated, with the problem that electronic Schrödinger’s equations for particles of arbitrary shape may demand explicit solutions for very large quantum numbers.…”

Section: Cube-to-sphere Transition In Gold Nanoparticlesmentioning

confidence: 99%

The Crystal Field Plasmon Splitting

2020

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We present an electromagnetic analogue of crystal (or ligand) field theory that describes geometric eigenmodes and the resonant plasmon wavelength in plasmonic nanocrystals in terms of a simple shape descriptor. Our model -crystal field plasmon splitting -is based on secular equations for geometric eigenmodes, allowing for the separation of pure shape from materials effects. As an example, the model is implemented to the experimental gold nanoparticles that undergo cube-to-sphere transition, showing that geometric eigenvalues change correspondingly in analogy to the atomic energy levels in Tanabe-Sugano correlation diagrams.

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Section: Cube-to-sphere Transition In Gold Nanoparticlesmentioning

confidence: 99%

The Crystal Field Plasmon Splitting

2020

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“…Bands at equal were plotted with the same color. A space representation of all modes is also reported for the semicube with S = 1 2 , their degeneracy conforming to equations (18)(19)(20).…”

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confidence: 97%

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Shape Plasmonics and Geometric Eigenvalues: The Crystal Field Plasmon Splitting in a Sphere-to-Cube Continuous Transition

Mezzasalma¹,

Grzelczak²,

Sancho‐Parramon³

2019

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A smooth sphere-to-cube transition is experimentally, computationally and theoretically studied in plasmonic Au nanoparticles, including retardation effects. Localized surface plasmon-polariton resonances were described with precision, discriminating among the influences of shape statistics, particle polydispersity, electrochemistry of excess (surface) charges. Sphere, cube and semicubes in between all show well-defined secular electrostatic eigenvalues, producing a wealthy of topological modes afterwards quenched by charge relaxation processes. The way both eigenvalues and plasmon wavelength vary as a function of a shape descriptor, parametrizing the transition, is explained by a minimal model based on the key concepts of crystal (or ligand) field theory (CFT), bringing for the first time to an electromagnetic analog of crystal field splitting. For any orbital angular momentum, eigenvalues evolve as in a Tanabe-Sugano correlation diagram, relying on the symmetry set by particle topology and a charge defect between cube and sphere. Expressions for non-retarded and retarded plasmon wavelengths are given and succeffully applied to both experimental UV-Vis and numerically simulated values. The CFT analogy can be promising to delve into the role of shape in nanoplasmonics and nanophotonics.Propagating and localized surface plasmon-polaritons (LSP) are coherent collective excitations by which photons couple to quasifree metal electrons. As light may be confined to a smaller scale than the photon wavelength, photonic and electronic characteristic lengths can be tuned into a nanoscale device. 1-3 Plasmonics arises from a complex interplay of electronic and geometric properties, where size and shape, 4 chemical composition, 5 surface charge 6 and dielectric environment 7 turn out to dramatically affect LSP resonance and absorption efficiency in plasmon-induced phenomena such as hot carriers injection, 8,9 radiative and resonance energy transfers. 10 However, while the relevance of topology was well established in electronic structure theory, 11 a little is known about purely topological shape effects in nanoplasmonics. The notion of shape, standing in between geometry and topology, is used therein mostly in connection with the (differential) geometry of surfaces, e.g. SP in curved media, scattering and radiation at bends and interfaces. [12][13][14][15] Topology optimization of nanostructures 16 can be regarded as well as an unrestricted shape optimization of a geometric functional. A primary shape effect in LSP resonance may be detected by the so-called figure of merit, the ratio between enhanced local and incident fields, whose formal dependence on the real and imaginary parts of the complex dielectric function is changing with the particle shape. 17 The linear optical response then may be derived from Drude's model or some semiclassical extension of it, 18,19

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