Abstract
Using Ohm’s law, a solution to plasmon hybridization via Kirchoff’s equations results in a simple and intuitive picture of a metal nanoparticle dimer as a capacitively coupled circuit. Calculated absorption spectra and surface charge densities show that dimers of different metallic composition support different super- and sub-radiant plasmons compared to homodimers. Strong screening of Coulomb interactions between nanoparticles of different metallic background prohibits the excitation of anti-bonding plasmons, while changes to the free electron conductivity upon a collective response result in coupled plasmon lifetimes which shift as a function of interparticle distance. Smaller separations then result in the longest lived plasmons.
Similar content being viewed by others
References
M. Quinten, A. Leitner, J.R. Krenn, F.R. Aussenegg, Opt. Lett. 23, 1331 (1998)
S.A. Maier, H.A. Atwater, J. Appl. Phys. 98, 011101 (2005)
K. Willets, Van R.P. Duyne, Annu. Rev. Phys. Chem. 58, 267 (2007)
B. Willingham, D. Brandl, P. Nordlander, Appl. Phys. B Lasers Opt. 93, 209 (2008)
P.K. Jain, M.A. El-Sayed, Chem. Phys. Lett. 487, 153 (2010)
K. Li, X. Li, M.I. Stockman, D.J. Bergman, Phys. Rev. B 71, 115409 (2005)
L.V. Brown, H. Sobhani, J.B. Lassiter, P. Nordlander, N.J. Halas, ACS Nano 4, 819 (2010)
W.-S. Chang, J.B. Lassiter, P. Swanglap, H. Sobhani, S. Khatua, P. Nordlander, N.J. Halas, S. Link, Nano Lett. 12, 4977 (2012)
H. Duan, A.I. Fernández-Domínguez, M. Bosman, S.A. Maier, J.K.W. Yang, Nano Lett. 12, 1683 (2012)
J. Bosbach, C. Hendrich, F. Stietz, T. Vartanyan, F. Träger, Phys. Rev. Lett. 89, 257404 (2002)
C. Sönnichsen, T. Franzl, T. Wilk, von G. Plessen, J. Feldmann, O. Wilson, P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002)
M.G. Blaber, A.-I. Henry, J.M. Bingham, G.C. Schatz, Van R.P. Duyne, J. Phys. Chem. C 116, 393 (2012)
D.W. Brandl, N.A. Mirin, P. Nordlander, J. Phys. Chem. B 110, 12302 (2006)
A. Trügler, J.-C. Tinguely, J.R. Krenn, A. Hohenau, U. Hohenester, Phys. Rev. B 83, 081412 (2011)
S. Sheikholeslami, Y.-W. Jun, P.K. Jain, A.P. Alivisatos, Nano Lett. 10, 2655 (2010)
F. Hubenthal, C. Hendrich, F. Träger, Appl. Phys. B Lasers Opt. 100, 225 (2010)
J.M. Gérardy, M. Ausloos, Phys. Rev. B 25, 4204 (1982)
E. Prodan, C. Radloff, N.J. Halas, P. Nordlander, Science 302, 419 (2003)
N. Engheta, A. Salandrino, A. Alù, Phys. Rev. Lett. 95, 095504 (2005)
R.C. Jones, Phys. Rev. 68, 93 (1945)
P. Nordlander, C. Oubre, E. Prodan, K. Li, M.I. Stockman, Nano Lett. 4, 899 (2004)
R. Rojas, F. Claro, Phys. Rev. B 34, 3730 (1986)
D.W. Brandl, C. Oubre, P. Nordlander, J. Chem. Phys. 123, 024701 (2005)
N.W. Ashcroft, N.D. Mermin, Solid State Physics, Chap. 26. (Saunders Co, Philadelphia, 1976)
A. Pinchuk, von G. Plessen, U. Kreibig, J. Phys. D Appl. Phys. 37, 3133 (2004)
F. Hao, P. Nordlander, M.T. Burnett, S.A. Maier, Phys. Rev. B 76, 245417 (2007)
D. Solis Jr., B. Willingham, S.L. Nauert, L.S. Slaughter, J. Olson, P. Swanglap, A. Paul, W.-S. Chang, S. Link, Nano Lett. 12, 1349 (2012)
Acknowledgments
This work was supported by the Robert A. Welch Foundation (C-1664) and the National Science Foundation (CHE-0955286). The authors would like to thank Peter Nordlander for fruitful discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Willingham, B., Link, S. A Kirchhoff solution to plasmon hybridization. Appl. Phys. B 113, 519–525 (2013). https://doi.org/10.1007/s00340-013-5501-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-013-5501-7