Electrodynamics study of plasmonic bonding and antibonding forces in a bisphere

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 19, 2008, Pages

  Ng, Jack ^a   Tang, Ross ^a   Chan, C T ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43449085802     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.195407     Document Type: Article

References (34)

1. K. Svoboda and S. M. Block, Opt. Lett. 19, 930 (1994). 0146-9592
2. S. Sato, Y. Harada, and Y. Waseda, Opt. Lett. 19, 1807 (1994). 0146-9592
3. P. M. Hansen, V. K. Bhatia, N. Harrit, and L. Oddershede, Nano Lett. NALEFD 1530-6984 10.1021/nl051289r 5, 1937 (2005).
4. Y. Seol, A. E. Carpenter, and T. T. Perkins, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.002429 31, 2429 (2006).
5. A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.32.001156 32, 1156 (2007).
6. J. R. Arias-Gonzalez and M. Nieto-Vesperinas, J. Opt. Soc. Am. A JOAOD6 0740-3232 10.1364/JOSAA.20.001201 20, 1201 (2003).
7. R. Fuchs and F. Claro, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1807022 85, 3280 (2004).
8. A. S. Zelenina, R. Quidant, G. Badenes, and M. Nieto-Vesperinas, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.002054 31, 2054 (2006).
9. B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.133902 97, 133902 (2006).
10. H. Xu and M. Kall, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.246802 89, 246802 (2002).
11. F. Svedberg, Z. Li, H. Xu, and M. Kall, Nano Lett. NALEFD 1530-6984 10.1021/nl062101m 6, 2639 (2006).
12. A. J. Hallock, P. L. Redmond, and L. E. Brus, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0408604101 102, 1280 (2005).
13. K. Murakoshi and Y. Nakato, Adv. Mater. (Weinheim, Ger.) ADVMEW 0935-9648 10.1002/(SICI)1521-4095(200006)12:11<791::AID-ADMA791>3.3.CO;2-C 12, 791 (2000).
14. P. Chu and D. L. Mills, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.127401 99, 127401 (2007)
15. P. Chu and D. L. Mills, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.059901 100, 059901 (2008)
16. P. Chu and D. L. Mills, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.045416 77, 045416 (2008).
17. Ref. also studied the plasmonic attractive bonding forces by using electrodynamics. Our study differs from Ref. in that Ref. focuses on how the optical force affects the surface enhance Raman spectroscopy, whereas we focus on the properties of the optical force itself.
18. J. Ng, Z. F. Lin, C. T. Chan, and Ping Sheng, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.085130 72, 085130 (2005).
19. Throughout this paper, the angular momentum truncation orders for the MS-MST calculations are taken as 43, 75, 76, 93, 94, and 96 for nanospheres of radii 5, 30, 50, 100, 150, and 200 nm, respectively. We remark that since electrodynamics is not valid for near touching spheres, our result with smaller separation [e.g., (D-2 rs) <1 nm] is less accurate.
20. However, for extremely closely spaced particles, say when the gap between the particles is less than 1 nm, in this case, the electrons on one of the sphere can actually leak to the other sphere. In other words, classical electrodynamics, and hence the MS-MST formalism, is not accurate.
21. P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.045418 69, 045418 (2004).
22. There is also a total optical force (F T = F 2 + F 1) that pushes the particle cluster as a whole; however, this total optical force is orders of magnitude smaller than the optical binding force and it is not our focus.
23. M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.1233 63, 1233 (1989).
24. E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, Science SCIEAS 0036-8075 10.1126/science.1089171 302, 419 (2003).
25. P. Nordlander, C. Oubre, E. Prodan, K. Li, and M. I. Stockman, Nano Lett. NALEFD 1530-6984 10.1021/nl049681c 4, 899 (2004).
26. R. Ruppin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26.3440 26, 3440 (1982).
27. M. L. Povinelli, S. G. Johnson, M. Loncar, M. Ibanescu, E. J. Smythe, F. Capasso, and J. D. Joannopoulos, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.13.008286 13, 8286 (2005).
28. J. N. Israelachvili, Intermolecular and Surface Forces, 2nd ed. (Academic, London, 1991).
29. P. B. Johnson and R. W. Christy, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.6.4370 6, 4370 (1972).
30. This is because the terms that are quadratic in incident field equally contribute to both spheres and therefore do not contribute to the binding force, and the terms that are quadratic in the resonant scattered field are too small owing to the weak coupling between the particles.
31. Owing to the azimuthal symmetry, modes with different m are not mixed, but strictly speaking, modes with different l are mixed. Nevertheless, at the present separation, the coupling is dominated by the modes with the same l.
32. M. I. Antonoyiannakis and J. B. Pendry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.2363 60, 2363 (1999).
33. M. L. Povinelli, M. Loncar, M. Ibanescu, E. J. Smythe, S. G. Johnson, F. Capasso, and J. D. Joannopoulos, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.003042 30, 3042 (2005).
34. J. Ng, C. T. Chan, P. Sheng, and Z. F. Lin, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.001956 30, 1956 (2005).