Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model

Naijing Kang; Z.L. Miškovic; Ying-Ying Zhang; Yuan-Hong Song; You-Nian Wang

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2014)

  • Volume: 3, Issue: 1
  • ISSN: 2299-3290

Abstract

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We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric regions. As an illustration, a set of dispersion relations for eigenfrequencies is deduced for the plasma oscillations in the electron gas, corresponding to both the surface and the bulk modes of even and odd symmetry with respect to the center of the metal slab.

How to cite

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Naijing Kang, et al. "Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model." Nanoscale Systems: Mathematical Modeling, Theory and Applications 3.1 (2014): null. <http://eudml.org/doc/269338>.

@article{NaijingKang2014,
abstract = {We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric regions. As an illustration, a set of dispersion relations for eigenfrequencies is deduced for the plasma oscillations in the electron gas, corresponding to both the surface and the bulk modes of even and odd symmetry with respect to the center of the metal slab.},
author = {Naijing Kang, Z.L. Miškovic, Ying-Ying Zhang, Yuan-Hong Song, You-Nian Wang},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
keywords = {hydrodynamic model; Green’s function; plasmon dispersion},
language = {eng},
number = {1},
pages = {null},
title = {Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model},
url = {http://eudml.org/doc/269338},
volume = {3},
year = {2014},
}

TY - JOUR
AU - Naijing Kang
AU - Z.L. Miškovic
AU - Ying-Ying Zhang
AU - Yuan-Hong Song
AU - You-Nian Wang
TI - Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model
JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications
PY - 2014
VL - 3
IS - 1
SP - null
AB - We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric regions. As an illustration, a set of dispersion relations for eigenfrequencies is deduced for the plasma oscillations in the electron gas, corresponding to both the surface and the bulk modes of even and odd symmetry with respect to the center of the metal slab.
LA - eng
KW - hydrodynamic model; Green’s function; plasmon dispersion
UR - http://eudml.org/doc/269338
ER -

References

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  15. [14] I. Villo-Perez, Z. L. Miškovic, and N. R. Arista, Plasmon Spectra of Nano-Structures: A Hydrodynamic Model in Trends in Nanophysics, edited by A. Aldea and V. Bârsan (Springer, Berlin, 2010), p. 217. 
  16. [15] Y.-Y. Zhang, S.-B. An, Y.-H. Song, N. Kang, Z. L. Miškovic, and Y.-N. Wang, Plasmon excitation in metal slab by fast point charge: The role of additional boundary conditions in quantum hydrodynamic model, Phys. Plasmas. 21, 102114 (2014).[Crossref][WoS] 

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