Analytical Representation of the Lang-Kohn Density Profiles by the Numerical Fitting

Rogowska, J.M.; Wojciechowski, K.F.; Maciejewski, Mieczysław

doi:10.12693/aphyspola.85.593

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…In passing, we note how interpolation formulas of the jellium-surface problem [285] can be used to conveniently link a to the Wigner-Seitz radius r s of the electron gas.…”

Section: Local-response Approximation With Equilibrium Electron-densi...mentioning

confidence: 99%

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Mesoscopic electrodynamics at metal surfaces

Mortensen

2021

Nanophotonics

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Plasmonic phenomena in metals are commonly explored within the framework of classical electrodynamics and semiclassical models for the interactions of light with free-electron matter. The more detailed understanding of mesoscopic electrodynamics at metal surfaces is, however, becoming increasingly important for both fundamental developments in quantum plasmonics and potential applications in emerging light-based quantum technologies. The review offers a colloquial introduction to recent mesoscopic formalism, ranging from quantum-corrected hydrodynamics to microscopic surface-response formalism, offering also perspectives on possible future avenues.

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“…In passing, we note how interpolation formulas of the jellium-surface problem [285] can be used to conveniently link a to the Wigner-Seitz radius r s of the electron gas.…”

Section: Local-response Approximation With Equilibrium Electron-densi...mentioning

confidence: 99%

“…For densities relevant to noble metals (r s ∼ 4a 0 ) we have a ∼ 0.15 × 𝜆 F [285]. Following the procedure in Ref.…”

Section: Local-response Approximation With Equilibrium Electron-densi...mentioning

confidence: 99%

Mesoscopic electrodynamics at metal surfaces

Mortensen

2021

Nanophotonics

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“…The quantity z 0 , in particular, gov-erns whether the induced electron density spills inwards or outwards. For bulk electron-densities of typical plasmonic metals, both a and z 0 amount to a few ångströms, and the model qualitatively captures the main results of self-consistent jellium considerations [44], while more refined models are needed to also represent finer details, e.g., Friedel oscillations [43,65]. Further, we assume that transition from the jellium background (i.e., the metal's positively charged ions) to the dielectric remains infinitely sharp because these only contain tightly bound electrons and thus are essentially immobile [66] when compared with the conductive (free-)electrons; hence, in the following we take…”

Section: Resultsmentioning

confidence: 92%

Surface-response functions obtained from equilibrium electron-density profiles

Mortensen,

Gonçalves,

Shuklin

et al. 2021

Preprint

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Surface-response functions are one of the most promising routes for bridging the gap between fully quantummechanical calculations and phenomenological models in quantum nanoplasmonics. Within all the currently available recipes for obtaining such response functions, ab initio calculations remain one of the most predominant, wherein the surface-response function are retrieved via the metal's non-equilibrium response to an external perturbation. Here, we present a complementary approach where one of the most appealing surface-response functions, namely the Feibelman d-parameters, yield a finite contribution even in the case where they are calculated directly from the equilibrium properties described under the local-response approximation (LRA), but with a spatially varying equilibrium electron density. Using model calculations that mimic both spill-in and spill-out of the equilibrium electron density, we show that the obtained d-parameters are in qualitative agreement with more elaborate, but also more computationally demanding, ab initio methods. The analytical work presented here illustrates how microscopic surface-response functions can emerge out of entirely local electrodynamic considerations.

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Surface-response functions obtained from equilibrium electron-density profiles

et al. 2021

View full text Add to dashboard Cite

Surface-response functions are one of the most promising routes for bridging the gap between fully quantum-mechanical calculations and phenomenological models in quantum nanoplasmonics. Among all currently available recipes for obtaining such response functions, the use of ab initio methods remains one of the most conspicuous trends, wherein the surface-response functions are retrieved via the metal’s non-equilibrium response to an external time-dependent perturbation. Here, we present a complementary approach to approximate one of the most appealing surface-response functions, namely the Feibelman d-parameters, yield a finite contribution even when they are calculated solely with the equilibrium properties of the metal, described under the local-response approximation (LRA) but with a spatially varying equilibrium electron density, as input. Using model calculations that mimic both spill-in and spill-out of the equilibrium electron density, we show that the obtained d-parameters are in qualitative agreement with more elaborate, but also more computationally demanding, ab initio methods. The analytical work presented here illustrates how microscopic surface-response functions can emerge out of entirely local electrodynamic considerations.

show abstract

Analytical Representation of the Lang-Kohn Density Profiles by the Numerical Fitting

Cited by 3 publications

References 16 publications

Mesoscopic electrodynamics at metal surfaces

Mesoscopic electrodynamics at metal surfaces

Surface-response functions obtained from equilibrium electron-density profiles

Surface-response functions obtained from equilibrium electron-density profiles

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