Plasmon Spectra of Nano-Structures: A Hydrodynamic Model

Engineering Materials

Volumn , Issue , 2010, Pages 217-254

  Villo Perez, I ^a   Miskovic Z L ^b   Arista, N R ^c  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^b UNIVERSITY OF WATERLOO   (Canada)

^c CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

Collective Mode; Plasmon Excitation; Plasmon Hybridization; Plasmon Mode; Volume Mode

Indexed keywords

DENSITY FUNCTIONAL THEORY; ELECTRON GAS; HYDRODYNAMICS; NANOPARTICLES; SURFACE PLASMONS;

COLLECTIVE EXCITATIONS; COLLECTIVE MODES; HYDRODYNAMIC MODELING; NANO-STRUCTURES; PLASMON EXCITATIONS; PLASMON HYBRIDIZATION; PLASMON MODES; PLASMON SPECTRUM; RITCHIE; VOLUME MODES;

PLASMONICS;

EID: 85126683209     PISSN: 16121317     EISSN: 18681212     Source Type: Book Series    
DOI: 10.1007/978-3-642-12070-1_10     Document Type: Chapter

References (86)

1. R.H. Ritchie, Plasma losses by fast electrons in thin films. Phys. Rev. 106, 874–881 (1957)
2. F. Bloch, Bremsvermögen von Atomen mit mehreren Elektronen. Z. Phys. A 81, 363–376 (1933)
3. J. Crowell, R.H. Ritchie, Radiative decay of Coulomb-stimulated plasmons in spheres. Phys. Rev. 172, 436–440 (1968)
4. F. Fujimoto, K. Komaki, Plasma oscillations excited by a fast electron in a metallic particle. J. Phys. Soc. Japan 25, 1679–1687 (1968)
5. R.H. Ritchie, R.E. Wilems, Photon-plasmon interaction in a nonuniform electron gas. Phys. Rev. 178, 372–381 (1969)
6. J.C. Ashley, O.H. Crawford, J.E. Turner, (eds): The interaction of swift particles and electromagnetic fields with matter (Proceedings of the symposium in honor of R.H. Ritchie. Oak Ridge, TN, 23–25 October 1994). Nucl. Instrum. Methods B 96(Issues 3–4), 441–678 (1995)
7. A. Eguiluz, S.C. Ying, J.J. Quinn, Influence of the electron density profile on surface plasmons in a hydrodynamic model. Phys. Rev. B 11, 2118–2121 (1975)
8. G. Barton, Some surface effects in the hydrodynamic model of metals. Rep. Prog. Phys. 42, 963–1016 (1979)
9. C. Schwartz, W.L. Schaich, Hydrodynamic models of surface plasmons. Phys. Rev. B 26, 7008–7011 (1982)
10. O.K. Harsh, B.K. Agarwal, Surface-plasmon dispersion relation for the inhomogeneous charge-density medium. Phys. Rev. B 39, 8150–8152 (1989)
11. K. Dharamvir, B. Singla, K.N. Pathak, V.V. Paranjape, Plasmon excitations in a metallic slab. Phys.Rev.B48, 12330–12333 (1992)
12. W.L. Barnes, A. Dereux, T.W. Ebbesen, Surface plasmon subwavelength optics. Nature 424, 824–830 (2003)
13. S.A. Maier, H.A. Atwater, Plasmonics: localization and guiding of electromagnetic energy in metal/dielectric structures. J. Appl. Phys. 98, 011101 (2005)
14. A.G. Marinopoulos, L. Reining, A. Rubio, N. Vast, Optical and loss spectra of carbon nanotubes: depolarization effects and intertube interactions. Phys. Rev. Lett. 91, 046402 (2003)
15. J.M. Pitarke, V.M. Silkin, E.V. Chulkov, P.M. Echenique, Theory of surface plasmons and surface-plasmon polaritons. Rep. Prog. Phys. 70, 1–87 (2007)
16. C. Kramberger, R. Hambach, C. Giorgetti, M.H. Rummeli, M. Knupfer, J. Fink, B. Buchner, L. Reining, E. Einarsson, S. Maruyama, F. Sottile, K. Hannewald, V. Olevano, A.G. Marinopoulos, T. Pichler, Linear plasmon dispersion in single-wall carbon nanotubes and the collective excitation spectrum of graphene. Phys. Rev. Lett. 100, 196803 (2008)
17. Z.L. Wang, Valence electron excitations and plasmon oscillations in thin films, surfaces, interfaces and small particles. Micron. 27, 265–299 (1996)
18. N.R. Arista, M.A. Fuentes, Interaction of charged particles with surface plasmons in cylindrical channels in solids. Phys. Rev. B 63, 165401 (2001)
19. J.L. Gervasoni, N.R. Arista, Plasmon excitations in cylindrical wires by external charged particles. Phys. Rev. B 68, 235302 (2003)
20. G. Link, R. von Baltz, Hydrodynamic description of surface plasmons: Nonexistence of the unrestricted half-space solution. Phys. Rev. B 60, 16157–16163 (1999)
21. J.F. Dobson, H.M. Le, High-frequency hydrodynamics and Thomas-Fermi theory. J. Mol. Struct. (Theocem) 501, 327–338 (2000)
22. I. Villo-Perez, N.R. Arista, Hydrodynamical model for bulk and surface plasmons in cylindrical wires. Surf. Sci. 603, 1–13 (2009)
23. N. Barberán, J. Bausells, Plasmon excitation in metallic spheres. Phys. Rev. B 31, 6354–6359 (1985)
24. M.T. Michalewicz, Identification of plasmons on small metallic particles. Phys. Rev. B 45, 13664–13670 (1992)
25. M.T. Michalewicz, M.P. Das, Collective electronic excitations on C60 molecule. Solid State Commun. 84, 1121–1125 (1992)
26. J.J. Monaghan, Collective oscillations in many electron atoms. Aust. J. Phys. 26, 597–606 (1973)
27. D. Pines, Elementary Excitations in Solids, (Benjamin New York, NY 1963)
28. M. Sunjic, A.A. Lucas, Multiple plasmon effects in the energy-loss spectra of electrons in thin films. Phys. Rev. B 3, 719–729 (1971)
29. P. Ahlqvist, Surface plasmons in a thin film. Phys. Scr. 26, 217–224 (1982)
30. C.Z. Li, Y.H. Song, Y.N. Wang, Wake effects and energy loss for charged particle moving above a thin metal film. Phys. Rev. A 79, 062903 (2009)
31. J.A. Stratton, Electromagnetic Theory, (McGraw-Hill, New York, NY 1941)
32. A.L. Fetter, Electrodynamics of a layered electron gas. 1. Single layer. Ann. Phys. 81, 367–393 (1973)
33. A.L. Fetter, Electrodynamics of a layered electron gas. 2. Periodic array. Ann. Phys. 88, 1–25 (1974)
34. E. Zaremba, H.C. Tso, Thomas-Fermi-Dirac-von Weizsäcker hydrodynamics in parabolic wells. Phys. Rev. B 49, 8147–8162 (1994)
35. L.A. Constantin, J.P. Perdew, J.M. Pitarke, Collapse of the electron gas to two dimensions in density functional theory. Phys. Rev. Lett. 101, 016406 (2008)
36. J.-N. Chazalviel, Coulomb Screening by Mobile Charges, (Birkhauser, Boston, MA 1999)
37. G.S. Atwal, N.W. Ashcroft, Relaxation of an electron system: conserving approximation. Phys.Rev.B65, 115109 (2002)
38. D.J. Mowbray, Hydrodynamic Modelling of the Electronic Response of Carbon Nanotubes, (unpublished) (University of Waterloo, Waterloo, ON 2007)
39. D. Ostling, S.P. Apell, A. Rosen, Theory for collective resonances of the C60 molecule. Europhys. Lett. 21, 539–544 (1993)
40. D. Ostling, S.P. Apell, G. Mukhopadhyay, A. Rosen, Collective resonances of the C60 molecule: effects of electron-density profile. J. Phys. B: At. Mol. Opt. Phys. 29, 5115–5125 (1996)
41. B. Vasvari, Collective resonances in carbon nanotubes. Phys. Rev. B 55, 7993–8003 (1997)
42. G. Barton, C. Eberlein, Plasma spectroscopy proposed for C-60 and C-70. J. Chem. Phys. 95, 1512–1517 (1991)
43. P. Longe, S.M. Bose, Collective excitations in mettalic graphene tubules. Phys. Rev. B 48, 18239–18243 (1993)
44. C. Yannouleas, E.N. Bogachek, U. Landman, Dimensionality crossovers of the sigma plasmon in coaxial carbon nanotubes. Phys. Rev. B 50, 7977–7980 (1994)
45. C. Yannouleas, E.N. Bogachek, U. Landman, Collective excitations of multishell carbon microstructures: Multishell fullerenes and coaxial nanotubes. Phys. Rev. B 53, 10225–10236 (1996)
46. T. Stockli, J.M. Bonard, A. Chatelain, Z.L. Wang, P. Stadelmann, Collective oscillations in a single-wall carbon nanotube excited by fast electrons. Phys. Rev. B 64, 115424 (2001)
47. Y.N. Wang, Z.L. Miskovic, Interactions of fast ions with carbon nanotubes: self-energy and stopping power. Phys. Rev. A 69, 022901 (2004)
48. L. Wei, Y.N. Wang, Electromagnetic wave propagation in single-wall carbon nanotubes. Phys. Lett. A 333, 303–309 (2004)
49. D.J. Mowbray, S. Chung, Z.L. Miskovic, F.O. Goodman, Y.N. Wang, Dynamic interactions of fast ions with carbon nanotubes. Nucl. Instrum. Methods Phys. Res. B 230, 142–147 (2005)
50. R.F. Tuktarov, R.F. Akhmet’yanov, E.S. Shikhovtseva, Y.A. Lebedev, V.A. Mazunov, Plasma oscillations in fullerene molecules during electron capture. JETP Lett. 81, 171–174 (2005)
51. D.P. Zhou, Y.H. Song, Y.N. Wang, Z.L. Miskovic, Coulomb explosions and stopping of molecular ions channeled through carbon nanotubes. Phys. Rev. A 73, 033202 (2006)
52. D. Borka, S. Petrovic, N. Neskovic, D.J. Mowbray, Z.L. Miskovic, Influence of the dynamical image potential on the rainbows in ion channeling through short carbon nanotubes. Phys. Rev. A 73, 062902 (2006)
53. G. Miano, F. Villone, An integral formulation for the electrodynamics of metallic carbon nanotubes based on a fluid model. IEEE Trans. Antennas Propagation 54, 2713–2724 (2006)
54. C. Javaherian, B. Shokri, Guided dispersion characteristics of metallic single-wall carbon nanotubes. J. Phys. D: Appl. Phys. 42, 055307 (2009)
55. J. Cazaux, Graphite dielectric constant in ultraviolet. Solid State Commun. 8, 545–547 (1970)
56. D.A. Gorokhov, R.A. Suris, V.V. Cheianov, Electron-energy-loss spectroscopy of the C-60 molecule. Phys. Lett. A 223, 116–122 (1996)
57. X.D. Jiang, Collective plasmon excitations in graphene tubules. Phys. Rev. B 54, 13487–13490 (1996)
58. D.J. Mowbray, Z.L. Miskovic, F.O. Goodman, Y.N. Wang, Interactions of fast ions with carbon nanotubes: two-fluid model. Phys. Rev. B 70, 195418 (2004)
59. S. Chung, D.J. Mowbray, Z.L. Miskovic, F.O. Goodman, Y.N. Wang, Dynamic interactions of fast ions with multiwalled carbon nanotubes. Radiat. Phys. Chem. 76, 524–528 (2007)
60. D.J. Mowbray, Z.L. Miskovic, F.O. Goodman, Ion interactions with carbon nanotubes in dielectric media. Phys. Rev. B 74, 195435 (2006)
61. A. Moradi, H. Khosravi, Collective excitations in single-walled carbon nanotubes, Phys. Rev. B 76, 113411 (2007)
62. M. Nejati, C. Javaherian, B. Shokri, B. Jazi, The single-wall carbon nanotube waveguides and excitation of their sigma plus pi plasmons by an electron beam. Phys. Plasmas 16, 022108 (2009)
63. J.D. Jackson, Classical Electrodynamics, 2nd edn. (Wiley, New York, NY 1975)
64. T. Pichler, M. Knupfer, M.S. Golden, J. Fink, A. Rinzler, R.E. Smalley, Localized and delocalized electronic states in single-wall carbon nanotubes. Phys. Rev. Lett. 100, 4729 (1998)
65. C.Z. Li, Y.H. Song, Y.N. Wang, Energy loss of a charged particle moving outside a nanodielectric sphere covered with infinitesimally thin metal film. Nucl. Instrum. Methods B 267, 3129–3132 (2009)
66. O.I. Fisun, 2D-plasmon excitation and nonthermal effects on microwaves on biological membranes. Bioelectromagnetics 14, 57–66 (1993)
67. E. Prodan, C. Radloff, N.J. Halas, P. Nordlander, A hybridization model for the plasmon response of complex nanostructures. Science 302, 419–422 (2003)
68. E. Prodan, P. Nordlander, Plasmon hybridization in spherical nanoparticles. J. Chem. Phys. 120, 5444–5454 (2004)
69. T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, P.A. Wolff, Extraordinary optical transmission through sub-wavelength hole arrays. Nature (London) 391, 667–669 (1998)
70. H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F.R. Aussenegg, J.R. Krenn, Silver nanowires as surface plasmon resonators. Phys. Rev. Lett. 95, 257403 (2005)
71. N. Kroo, Z. Szentirmay, H. Walter, Sub-wavelength microscopy of surface plasmon oscillations and their statistical properties. Surf. Sci. 582, 110–116 (2005)
72. L.I. Chelaru, F.J.M. Heringdorf, In situ monitoring of surface plasmons in single-crystalline Ag-nanowires. Surf. Sci. 601, 4541–4545 (2007)
73. K. Kusová, F. Charra, G. Schull, I. Pelant, Plasmon modes in light emission from silver nanoparticles induced by a scanning tunneling microscope. Surf. Sci. 602, 345–348 (2008)
74. R.M. Dickson, L.A. Lyon, Unidirectional plasmon propagation in metallic nanowires. J. Phys. Chem. B 104, 6095–6098 (2000)
75. M.I. Stockman, Nanofocusing of optical energy in tapered plasmonic waveguides. Phys. Rev. Lett. 93, 137404 (2004)
76. M.F. Lin, K.W.K. Shung, Elementary excitations in cylindrical tubules. Phys. Rev. B 47, 6617–6624 (1993)
77. F. Parage, M.M. Doria, O. Buisson, Plasma modes in periodic two-dimensional superconducting-wire networks. Phys. Rev. B 58, R8921–R8924 (1998)
78. W.L. Barnes, Surface plasmon-polariton length scales: a route to sub-wavelength optics. J. Opt. A: Pure Appl. Opt. 8, S87–S93 (2006)
79. L.S. Mukina, M.M. Nazarov, A.P. Shkurinov, Propagation of THz plasmon pulse on corrugated and flat metal surface. Surf. Sci. 600, 4771–4776 (2006)
80. V. Chegel, Y. Demidenko, V. Lozovski, A. Tsykhonya, Influence of the shape of the particles covering the metal surface on the dispersion relations of surface plasmons. Surf. Sci. 602, 1540–1546 (2008)
81. T. Stöckli, Z.L. Wang, J.M. Bonard, P. Stadelmann, A. Châtelain, Plasmon excitations in carbon nanotubes. Phil. Mag. B 79, 1531–1548 (1999)
82. D. Taverna, M. Kociak, V. Charbois, L. Henrard, Electron energy-loss spectrum of an electron passing near a locally anisotropic nanotube. Phys. Rev. B 66, 235419 (2002)
83. D. Taverna, M. Kociak, V. Charbois, L. Henrard, O. Stephan, C. Colliex, Simulations of electron energy-loss spectra of an electron passing near a locally anisotropic nanotube. J. Electron Spectrosc. Relat. Phenomena 129, 293298 (2003)
84. G. Gumbs, A. Balassis, Comparison of the stopping power of plasmons and single-particle excitations for nanotubes. Phys. Rev. B 71, 235410 (2005)
85. A. Balassis, G. Gumbs, Plasmon instability in energy transfer from a current of charged particles to multiwall and cylindrical nanotube arrays based on self-consistent field theory. Phys. Rev. B 74, 045420 (2006)
86. S. Segui, J.L. Gervasoni, N.R. Arista, Plasmon interference in nanotubes and nanowires. Surf. Sci. 601, 4169–4174 (2007)