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

• Autorzy: Naijing Kang , Z.L. Miškovic , Ying-Ying Zhang , Yuan-Hong Song , You-Nian Wang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

hydrodynamic model; Green’s function; plasmon dispersion

Kategorie tematyczne

• 73.20.Mf: Collective excitations (including excitons, polarons, plasmons and other charge-density excitations)(for collective excitations in quantum Hall effects, see 73.43.Lp)
• 05.60.Gg: Quantum transport
• 34.50.Bw: Energy loss and stopping power

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2014
• Tom: 3
• Numer: 1

Daty

otrzymano

2014-11-14

zaakceptowano

2014-11-30

online

2014-12-12

Twórcy

autor

Naijing Kang

• Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario,
  Canada N2L 3G1

autor

Z.L. Miškovic

• Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario,
  Canada N2L 3G1
• Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

autor

Ying-Ying Zhang

• School of Physics and Optoelectronic Technology, Dalian University of
  Technology, Dalian, China 116024

autor

Yuan-Hong Song

• School of Physics and Optoelectronic Technology, Dalian University of
  Technology, Dalian, China 116024

autor

You-Nian Wang

• School of Physics and Optoelectronic Technology, Dalian University of
  Technology, Dalian, China 116024

Bibliografia

• ---
• [1] S. A.Maier and H. A. Atwater, Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures, J. Applied Physics 98, 011101 (2005).
• [2] M. I. Stockman, Nanoplasmonics: The physics behind the applications, Phys. Today 64(2), 39 (2011). [WoS]
• [3] J. L. West and N. J. Halas, Annu. Rev. Biomed. Eng. 5, 285 (2003). [Crossref]
• [4] A. Moreau, C. Ciracì, and D. R. Smith, Phys. Rev. B 87, 045401 (2013).
• [5] C. Ciracì, J. B. Pendry, and D. R. Smith, Hydrodynamic Model for Plasmonics: A Macroscopic Approach to a Microscopic Problem, Chem. Phys. Chem. 14, 1109 (2013).
• [6] C. Ciracì, R. T. Hill, J. J. Mock, Y. Urzhumov, A. I. Fernández-Domínguez, S. A. Maier, J. B. Pendry, A. Chilkoti, and D. R. Smith, Probing the Ultimate Limits of Plasmonic Enhancement, Sceince 337, 1072 (2012).
• [7] C. David and F. J. G. de Abajo, Spatial Nonlocality in the Optical Response of Metal Nanoparticles, J. Phys. Chem. C 115, 19470 (2011). [WoS]
• [8] A. Wiener, A. I. Fernández-Domínguez, A. P. Horsfield, J. B. Pendry, and S. A. Maier, Nonlocal Effects in the Nanofocusing Performance of Plasmonic Tips, Nano Lett. 12, 3308 (2012). [WoS][Crossref][PubMed]
• [9] F. Bloch, Bremsvermögen von Atomen mit mehreren Elektronen. Z. Phys. A 81, 363 (1933).
• [10] R.H. Ritchie, Plasma losses by fast electrons in thin films. Phys. Rev. 106, 874 (1957). [Crossref]
• [11] A. Eguiluz, Density response function and the dynamic structure factor of thin metal films: Nonlocal effects, Phys. Rev. B 19, 1689 (1979).
• [12] R. H. Ritchie and A. L. Marusak, The surface plasmon dispersion relation for an electron gas, Surf. Sci. 4, 234 (1966). [Crossref]
• [13] G. Barton, Some surface effects in the hydrodynamic model of metals, Rep. Prog. Phys. 42, 65 (1979).
• [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.
• [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]

Identyfikatory

DOI

10.2478/nsmmt-2014-0005