Plasmon resonances in linear atomic chains: Free-electron behavior and anisotropic screening of d electrons

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 23, 2008, Pages

  Yan, Jun ^a   Gao, Shiwu ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58049112452     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.235413     Document Type: Article

References (81)

1. S. Nie and S. R. Emory, Science 275, 1102 (1997). 10.1126/science.275. 5303.1102
2. H. X. Xu, E. J. Bjerneld, M. Käll, and L. Börjesson, Phys. Rev. Lett. 83, 4357 (1999). 10.1103/PhysRevLett.83.4357
3. Y. Sun and Y. Xia, Science 298, 2176 (2002). 10.1126/science.1077229
4. C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002). 10.1103/PhysRevLett.88.077402
5. P.-A. Hervieux and J.-Y. Bigot, Phys. Rev. Lett. 92, 197402 (2004). 10.1103/PhysRevLett.92.197402
6. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature (London) 424, 824 (2003). 10.1038/nature01937
7. J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004). 10.1126/science.1098999
8. J. Aizpurua, G. Hoffmann, S. P. Apell, and R. Berndt, Phys. Rev. Lett. 89, 156803 (2002). 10.1103/PhysRevLett.89.156803
9. J. Aizpurua, P. Hanarp, D. S. Sutherland, M. Käll, G. W. Bryant, and F. J. García de Abajo, Phys. Rev. Lett. 90, 057401 (2003). 10.1103/PhysRevLett.90.057401
10. J. Aizpurua, G. W. Bryant, L. J. Richter, F. J. García de Abajo, B. K. Kelley, and T. Mallouk, Phys. Rev. B 71, 235420 (2005). 10.1103/PhysRevB.71.235420
11. I. Romero, J. Aizpurua, G. W. Bryant, and F. J. García de Abajo, Opt. Express 14, 9988 (2006). 10.1364/OE.14.009988
12. J. Aizpurua and A. Rivacoba, Phys. Rev. B 78, 035404 (2008). 10.1103/PhysRevB.78.035404
13. H. X. Xu and M. Käll, Phys. Rev. Lett. 89, 246802 (2002). 10.1103/PhysRevLett.89.246802
14. H. X. Xu, X. H. Wang, M. P. Persson, H. Q. Xu, M. Käll, and P. Johansson, Phys. Rev. Lett. 93, 243002 (2004). 10.1103/PhysRevLett.93.243002
15. E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, Science 302, 419 (2003). 10.1126/science.1089171
16. E. Prodan and P. Nordlander, J. Chem. Phys. 120, 5444 (2004). 10.1063/1.1647518
17. P. Nordlander, C. Oubre, E. Prodan, K. Li, and M. I. Stockman, Nano Lett. 4, 899 (2004). 10.1021/nl049681c
18. P. Nordlander and E. Prodan, Nano Lett. 4, 2209 (2004). 10.1021/nl0486160
19. F. Hao and P. Nordlander, Appl. Phys. Lett. 89, 103101 (2006). 10.1063/1.2345352
20. F. Le, N. Z. Lwin, J. M. Steele, M. Käll, N. J. Halas, and P. Nordlander, Nano Lett. 5, 2009 (2005). 10.1021/nl0515100
21. H. Wang, D. W. Brandl, P. Nordlander, and N. J. Halas, Acc. Chem. Res. 40, 53 (2007). 10.1021/ar0401045
22. N. Fang, H. Lee, C. Sun, and X. Zhang, Science 308, 534 (2005). 10.1126/science.1108759
23. A. T. Bell, Science 299, 1688 (2003). 10.1126/science.1083671
24. L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, Proc. Natl. Acad. Sci. U.S.A. 100, 13549 (2003). 10.1073/pnas.2232479100
25. D. Pines, Rev. Mod. Phys. 28, 184 (1956). 10.1103/RevModPhys.28.184
26. A. Liebsch, Electronic Excitations at Metal Surfaces (Plenum, New York, 1997).
27. P. J. Feibelman, Prog. Surf. Sci. 12, 287 (1982). 10.1016/0079-6816(82) 90001-6
28. R. H. Ritchie, Phys. Rev. 106, 874 (1957). 10.1103/PhysRev.106.874
29. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, 1988).
30. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer, Berlin, 1995).
31. H. X. Xu, J. Aizpurua, M. Käll, and P. Apell, Phys. Rev. E 62, 4318 (2000). 10.1103/PhysRevE.62.4318
32. Z. Yuan and S. W. Gao, Phys. Rev. B 73, 155411 (2006). 10.1103/PhysRevB.73.155411
33. Z. Yuan and S. W. Gao, Surf. Sci. 602, 460 (2008). 10.1016/j.susc.2007. 10.040
34. C. Yannouleas and R. A. Broglia, Ann. Phys. (N.Y.) 217, 105 (1992). 10.1016/0003-4916(92)90340-R
35. G. Weick, R. A. Molina, D. Weinmann, and R. A. Jalabert, Phys. Rev. B 72, 115410 (2005). 10.1103/PhysRevB.72.115410
36. G. Weick, G.-L. Ingold, R. A. Jalabert, and D. Weinmann, Phys. Rev. B 74, 165421 (2006). 10.1103/PhysRevB.74.165421
37. T. M. Wallis, N. Nilius, and W. Ho, Phys. Rev. Lett. 89, 236802 (2002). 10.1103/PhysRevLett.89.236802
38. H. Ohnishi, Y. Kondo, and K. Takayanagi, Nature (London) 395, 780 (1998). 10.1038/27399
39. A. I. Yanson, G. R. Bollinger, H. E. van den Brom, N. Agraït, and J. M. van Ruitenbeek, Nature (London) 395, 783 (1998). 10.1038/27405
40. P. Gambardella, M. Blanc, H. Brune, K. Kuhnke, and K. Kern, Phys. Rev. B 61, 2254 (2000). 10.1103/PhysRevB.61.2254
41. D. Sanchez-Portal, E. Artacho, J. Junquera, P. Ordejón, A. Garcia, and J. M. Soler, Phys. Rev. Lett. 83, 3884 (1999). 10.1103/PhysRevLett.83.3884
42. S. R. Bahn and K. W. Jacobsen, Phys. Rev. Lett. 87, 266101 (2001). 10.1103/PhysRevLett.87.266101
43. S. Fölsch, P. Hyldgaard, R. Koch, and K. H. Ploog, Phys. Rev. Lett. 92, 056803 (2004). 10.1103/PhysRevLett.92.056803
44. J. Lagoute, C. Nacci, and S. Fölsch, Phys. Rev. Lett. 98, 146804 (2007). 10.1103/PhysRevLett.98.146804
45. I. Barke, F. Zheng, T. K. Rügheimer, and F. J. Himpsel, Phys. Rev. Lett. 97, 226405 (2006). 10.1103/PhysRevLett.97.226405
46. J. N. Crain, M. D. Stiles, J. A. Stroscio, and D. T. Pierce, Phys. Rev. Lett. 96, 156801 (2006). 10.1103/PhysRevLett.96.156801
47. N. Nilius, T. M. Wallis, and W. Ho, Science 297, 1853 (2002). 10.1126/science.1075242
48. J. N. Crain and D. T. Pierce, Science 307, 703 (2005). 10.1126/science.1106911
49. P. Segovia, D. Purdie, M. Hengsberger, and Y. Baer, Nature (London) 402, 504 (1999). 10.1038/990052
50. T. Nagao, S. Yaginuma, T. Inaoka, and T. Sakurai, Phys. Rev. Lett. 97, 116802 (2006). 10.1103/PhysRevLett.97.116802
51. G. V. Nazin, X. H. Qiu, and W. Ho, Phys. Rev. Lett. 90, 216110 (2003). 10.1103/PhysRevLett.90.216110
52. D. C. Guhr, D. Rettinger, J. Boneberg, A. Erbe, P. Leiderer, and E. Scheer, Phys. Rev. Lett. 99, 086801 (2007). 10.1103/PhysRevLett.99.086801
53. S. W. Gao and Z. Yuan, Phys. Rev. B 72, 121406 (R) (2005). 10.1103/PhysRevB.72.121406
54. J. Yan, Z. Yuan, and S. W. Gao, Phys. Rev. Lett. 98, 216602 (2007). 10.1103/PhysRevLett.98.216602
55. M. A. L. Marques, A. Castro, G. F. Bertsch, and A. Rubio, Comput. Phys. Commun. 151, 60 (2003). 10.1016/S0010-4655(02)00686-0
56. K. Yabana and G. F. Bertsch, Phys. Rev. B 54, 4484 (1996). 10.1103/PhysRevB.54.4484
57. C. Jamorski, M. E. Casida, and D. R. Salahub, J. Chem. Phys. 104, 5134 (1996). 10.1063/1.471140
58. N. Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991). 10.1103/PhysRevB.43.1993
59. L. Kleinman and D. M. Bylander, Phys. Rev. Lett. 48, 1425 (1982). 10.1103/PhysRevLett.48.1425
60. K. Yabana and G. F. Bertsch, Phys. Rev. A 60, 3809 (1999). 10.1103/PhysRevA.60.3809
61. J. C. Idrobo, S. Öǧüt, and J. Jellinek, Phys. Rev. B 72, 085445 (2005). 10.1103/PhysRevB.72.085445
62. Table of Interatomic Distances and Configuration in Molecules and Ions, edited by, L. E. Sutton, (Chemical Society, London, UK, 1965).
63. M. A. Cazalilla, J. S. Dolado, A. Rubio, and P. M. Echenique, Phys. Rev. B 61, 8033 (2000). 10.1103/PhysRevB.61.8033
64. A. Liebsch, Phys. Rev. Lett. 71, 145 (1993). 10.1103/PhysRevLett.71.145
65. H. Ehrenreich and H. R. Philipp, Phys. Rev. 128, 1622 (1962). 10.1103/PhysRev.128.1622
66. A. Marini, R. Del Sole, and G. Onida, Phys. Rev. B 66, 115101 (2002). 10.1103/PhysRevB.66.115101
67. C. E. Moore, Atomic Energy Levels, Natl. Bur. Stand. Circ. (U.S.) No. 467 (U.S. GPO, Washington, D.C., 1958), Vol. III
68. N. P. Penkin and I. Yu. Slavenas, Opt. Spektrosk. 15, 9 (1963).
69. S. Fedrigo, W. Harbich, and J. Buttet, Phys. Rev. B 47, 10706 (1993). 10.1103/PhysRevB.47.10706
70. W. I. Friesen and B. Bergersen, J. Phys. C 13, 6627 (1980). 10.1088/0022-3719/13/36/016
71. S. Das Sarma and E. H. Hwang, Phys. Rev. B 54, 1936 (1996). 10.1103/PhysRevB.54.1936
72. A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 67, 3298 (1991). 10.1103/PhysRevLett.67.3298
73. K. Liu and S. W. Gao (unpublished).
74. In the random-phase approximation (RPA), ωp (k) = [A (k) ω+2 (k) - ω-2 (k)] / [A (k) -1] with A (k) =exp [kπ/v (k,W)]. Here v (k,W) is the Fourier transform of the Coulomb potential of 1DEG that is transversely confined within a cylinder of radius W (Refs.). ω± (k) = | k kF ± 1 2 k2 | are the upper and lower bounds of single-electron excitation and kF is the Fermi wave vector.
75. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2nd ed. (Pergamon, Oxford, 1984).
76. The frequencies of the ellipsoid are determined by the poles of its polarizability α (ω) = 4πabc 3 μ (ω) - μm μm + ni [μ (ω) - μm]. Here μ (ω) and μm are the dielectric functions of the ellipsoid and the surrounding medium and a,b,c are the half axes of the ellipsoid. The form factor ni, i=a,b,c is calculated by ni = abc 2 μ0 ds (s+ i2) (s+ a2) (s+ b2) (s+ c2). We used μm =1 for the isolate chains and a Drude dielectric function μ (ω) =1- ωp2 / ω2 (Ref.). The geometry of the chains is given by a=b=R and c=R+ (N-1) ×d/2.
77. N. V. Smith, Phys. Rev. 183, 634 (1969). 10.1103/PhysRev.183.634
78. J. O. Joswig, L. O. Tunturivuori, and R. M. Nieminen, J. Chem. Phys. 128, 014707 (2008). 10.1063/1.2814161
79. J. Borggreen, P. Chowdhury, N. Kebaïli, L. Lundsberg-Nielsen, K. Lützenkirchen, M. B. Nielsen, J. Pedersen, and H. D. Rasmussen, Phys. Rev. B 48, 17507 (1993). 10.1103/PhysRevB.48.17507
80. K. Selby, V. Kresin, J. Masui, M. Vollmer, W. A. de Heer, A. Scheidemann, and W. D. Knight, Phys. Rev. B 43, 4565 (1991). 10.1103/PhysRevB.43.4565
81. M. Schmidt and H. Haberland, Eur. Phys. J. D 6, 109 (1999).