Abstract

Using a fully quantum mechanical approach we study the optical response of a strongly coupled metallic nanowire dimer for variable separation widths of the junction between the nanowires. The translational invariance of the system allows to apply the time–dependent density functional theory (TDDFT) for nanowires of diameters up to 10 nm which is the largest size considered so far in quantum modeling of plasmonic dimers. By performing a detailed analysis of the optical extinction, induced charge densities, and near fields, we reveal the major nonlocal quantum effects determining the plasmonic modes and field enhancement in the system. These effects consist mainly of electron tunneling between the nanowires at small junction widths and dynamical screening. The TDDFT results are compared with results from classical electromagnetic calculations based on the local Drude and non-local hydrodynamic descriptions of the nanowire permittivity, as well as with results from a recently developed quantum corrected model. The latter provides a way to include quantum mechanical effects such as electron tunneling in standard classical electromagnetic simulations. We show that the TDDFT results can be thus retrieved semi-quantitatively within a classical framework. We also discuss the shortcomings of classical non-local hydrodynamic approaches. Finally, the implications of the actual position of the screening charge density at the gap interfaces are discussed in connection with plasmon ruler applications at subnanometric distances.

© 2013 OSA

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2013 (5)

J. A. Scholl, A. García-Etxarri, A. L. Koh, and J. A. Dionne, “Observation of quantum tunneling between two plasmonic nanoparticles,” Nano Lett.13, 564–569 (2013).
[CrossRef]

L. Stella, P. Zhang, F. J. García-Vidal, A. Rubio, and P. García-González, “Performance of nonlocal optics when applied to plasmonic nanostructures,” J. Phys. Chem. C117, 8941–8949 (2013).
[CrossRef]

T. V. Teperik, P. Nordlander, J. Aizpurua, and A.G. Borisov, “Robust subnanometric plasmon ruler by rescaling of the nonlocal optical response,” Phys. Rev. Lett.110, 263901 (2013).
[CrossRef] [PubMed]

K. Andersen, K. L. Jensen, N. A. Mortensen, and K. S. Thygesen, “Visualizing hybridized quantum plasmons in coupled nanowires: From classical to tunneling regime,” Phys. Rev. B87, 235433 (2013).
[CrossRef]

R. C. Monreal, T. J. Antosiewicz, and P. Apell, “Competition between surface screening and size quantization for surface plasmons in nanoparticles,” New J. Phys.15, 083044 (2013).
[CrossRef]

2012 (13)

M. Banik, P. Z. El-Khoury, A. Nag, A. Rodriguez-Perez, N. Guarrottxena, G. C. Bazan, and V. A. Apkarian, “Surface-enhanced Raman trajectories on a nano-dumbbell: transition from field to charge transfer plasmons as the spheres fuse,” ACS Nano6, 10343–10354 (2012).
[CrossRef] [PubMed]

D. C. Marinica, A. K. Kazansky, P. Nordlander, J. Aizpurua, and A. G. Borisov, “Quantum plasmonics: nonlinear effects in the field enhancement of a plasmonic nanoparticle dimer,” Nano Lett.12, 1333–1339 (2012).
[CrossRef] [PubMed]

R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nature Commun.3, 825 (2012).
[CrossRef]

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,” Science337, 1072–1074 (2012).
[CrossRef] [PubMed]

A. I. Fernández-Domínguez, A. Wiener, F. J. García-Vidal, S. A. Maier, and J. B. Pendry, “Transformation-optics description of nonlocal effects in plasmonic nanostructures,” Phys. Rev. Lett.108, 106802 (2012).
[CrossRef] [PubMed]

A. I. Fernández-Domínguez, P. Zhang, Y. Luo, S. A. Maier, F. J. García-Vidal, and J. B. Pendry, “Transformation-optics insight into nonlocal effects in separated nanowires,” Phys. Rev. B86,241110(R) (2012).
[CrossRef]

G. Toscano, S. Raza, A.-P. Jauho, N. A. Mortensen, and M. Wubs, “Modified field enhancement and extinction by plasmonic nanowire dimers due to nonlocal response,” Optics Express20, 4176–4188 (2012).
[CrossRef] [PubMed]

K. J. Savage, M. M. Hawkeye, R. Esteban, A. G. Borisov, J. Aizpurua, and J. J. Baumberg, “Revealing the quantum regime in tunnelling plasmonics,” Nature491, 574–577 (2012).
[CrossRef] [PubMed]

J. Kern, S. Großmann, N. V. Tarakina, T. Häckel, M. Emmerling, M. Kamp, J.-S. Huang, P. Biagioni, J. C. Prangsma, and B. Hecht, “Atomic-scale confinement of resonant optical fields,” Nano Lett.12, 5504–5509 (2012).
[CrossRef] [PubMed]

H. Duan, A. I. Fernández-Domínguez, M. Bosman, S. A. Maier, and J. K. W. Yang, “Nanoplasmonics: classical down to the nanometer scale,” Nano Lett.12, 1683–1689 (2012).
[CrossRef] [PubMed]

R. T. Hill, J. J. Mock, A. Hucknall, S. D. Wolter, N. M. Jokerst, D. R. Smith, and A. Chilkoti, “Plasmon ruler with angstrom length resolution,” ACS Nano6, 9237–9246 (2012).
[CrossRef] [PubMed]

X. Ben and H. S. Park, “Size-dependent validity bounds on the universal plasmon ruler for metal nanostructure dimers,” J. Phys. Chem. C116, 18944–18951 (2012).
[CrossRef]

G. Toscano, S. Raza, S. Xiao, M. Wubs, A.-P. Jauho, S. I. Bozhevolnyi, and N. A. Mortensen, “Surface-enhanced Raman spectroscopy (SERS): nonlocal limitations,” Opt. Lett.37, 2538–2540 (2012).
[CrossRef] [PubMed]

2011 (11)

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111, 3913–3961 (2011).
[CrossRef] [PubMed]

A. J. Pasquale, B. M. Reinhard, and L. D. Negro, “Engineering photonic-plasmonic coupling in metal nanoparticle necklaces,” ACS Nano5, 6578–6585 (2011).
[CrossRef] [PubMed]

B. Fazio, C. D’Andrea, F. Bonaccorso, A. Irrera, G. Calogero, C. Vasi, P. G. Gucciardi, M. Allegrini, A. Toma, D. Chiappe, C. Martella, and F. B. de Mongeot, “Re-radiation enhancement in polarized surface-enhanced resonant Raman scattering of randomly oriented molecules on self-organized gold nanowires,” ACS Nano5, 5945–5956 (2011).
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N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science332, 1407–1410 (2011).
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B. K. Juluri, N. Chaturvedi, Q. Z. Hao, M. Q. Lu, D. Velegol, L. Jensen, and T. J. Huang, “Scalable manufacturing of plasmonic nanodisk dimers and cusp nanostructures using salting-out quenching method and colloidal lithography,” ACS Nano5, 5838–5847 (2011).
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R. Arielly, A. Ofarim, G. Noy, and Y. Selzer, “Accurate determination of plasmonic fields in molecular junctions by current rectification at optical frequencies,” Nano Lett.11, 2968–2972 (2011).
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C. David and F. J. García de Abajo, “Spatial nonlocality in the optical response of metal nanoparticles,” J. Phys. Chem. C115, 19470–19475 (2011).
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O. Pérez-González, N. Zabala, and J. Aizpurua, “Optical characterization of charge transfer and bonding dimer plasmons in linked interparticle gaps,” New J. Phys.13, 083013 (2011).
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M. Hentschel, D. Dregely, R. Vogelgesang, H. Giessen, and N. Liu, “Plasmonic oligomers: the role of individual particles in collective behavior,” ACS Nano5, 2042–2050 (2011).
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D. Y. Lei, A. Aubry, Y. Luo, S. A. Maier, and J. B. Pendry, “Plasmon interaction between overlapping nanowires,” ACS Nano5, 597–607 (2011).
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2010 (8)

O. Pérez-González, N. Zabala, A. G. Borisov, N. J. Halas, P. Nordlander, and J. Aizpurua, “Optical spectroscopy of conductive junctions in plasmonic cavities,” Nano Lett.10, 3090–3095 (2010).
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J. Zuolaga, E. Prodan, and P. Nordlander, “Quantum plasmonics: optical properties and tunability of metallic nanorods,” ACS Nano4, 5269–5276 (2010).
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J. M. McMahon, S. K. Gray, and G. C. Schatz, “Optical properties of nanowire dimers with a spatially nonlocal dielectric function,” Nano Lett.10, 3473–3481 (2010).
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R. Alvarez-Puebla, L. M. Liz-Marzán, and F. J. García de Abajo, “Light concentration at the nanometer scale,” J. Phys. Chem. Lett.1, 2428–2434 (2010).
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J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nature Materials9, 193–204 (2010).
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2009 (8)

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J. Zuolaga, E. Prodan, and P. Nordlander, “Quantum description of the plasmon resonances of a nanoparticle dimer,” Nano Lett.9, 887–891 (2009).
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J. M. McMahon, S. K. Gray, and G. C. Schatz, “Nonlocal optical response of metal nanostructures with arbitrary shape,” Phys. Rev. Lett.103, 097403 (2009).
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M. Schnell, A. Garcia-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nature Photonics3, 287–291 (2009).
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C. Tabor, D. Van Haute, and M. A. El-Sayed, “Effect of Orientation on plasmonic coupling between gold nanorods,” ACS Nano3, 3670–3678 (2009).
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2008 (3)

F. J. García de Abajo, “Nonlocal effects in the plasmons of strongly interacting nanoparticles, dimers, and waveguides,” J. Phys. Chem. C112, 17983–17987 (2008).
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2007 (3)

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys.70, 1–87 (2007).
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P. K. Jain, W. Huang, and M. A. El-Sayed, “On the universal scaling behavior of the distance decay of plasmon coupling in metal nanoparticle pairs: a plasmon ruler equation,” Nano Lett.7, 2080–2088 (2007).
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M. Danckwerts and L. Novotny, “Optical frequency mixing at coupled gold nanoparticles,” Phys. Rev. Lett.98, 026104 (2007).
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2006 (2)

I. Romero, J. Aizpurua, G. W. Bryant, and F. J. García de Abajo, “Plasmons in nearly touching metallic nanoparticles: singular response in the limit of touching dimers,” Optics Express14, 9988–9999 (2006).
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P. K. Jain and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B110, 18243–18253 (2006).
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2005 (5)

K. Halterman, J. M. Elson, and S. Singh, “Plasmonic resonances and electromagnetic forces between coupled silver nanowires,” Phys. Rev. B72, 075429 (2005).
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S. Berciaud, L. Cognet, P. Tamarat, and B. Lounis, “Observation of intrinsic size effects in the optical response of individual gold nanoparticles,” Nano Lett.5, 515–518 (2005).
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P. Mühlschlegel, H.-J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science308, 1607–1609 (2005).
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C. E. Talley, J. B. Jackson, C. Oubre, N. K. Grady, C. W. Hollars, S. M. Lane, T. R. Huser, P. Nordlander, and N. J. Halas, “Surface-enhanced Raman scattering from individual Au nanoparticles and nanoparticle dimer substrates,” Nano Lett.5, 1569–1574 (2005).
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2004 (3)

E. Hao and G. C. Schatz, “Electromagnetic fields around silver nanoparticles and dimers,” J. Chem. Phys.120, 357–366 (2004).
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T. Atay, J.-H. Song, and A. V. Nurmikko, “Strongly interacting plasmon nanoparticle pairs: from dipole-dipole interaction to conductively coupled regime,” Nano Lett.4, 1627–1631 (2004).
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2003 (4)

E. Prodan, P. Nordlander, and N. J. Halas, “Electronic structure and optical properties of Gold nanoshells,” Nano Lett.3, 1411–1415 (2003).
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E. Prodan, P. Nordlander, and N. J. Halas, “Effects of dielectric screening on the optical properties of metallic nanoshells,” Chem. Phys. Lett.368, 94–101 (2003).
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S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nature Materials2, 229–232 (2003).
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L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape and dielectric environment,” J. Phys. Chem. B107, 668–667 (2003).
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2001 (2)

J. P. Kottmann and O. J. F. Martin, “Plasmon resonant coupling in metallic nanowires,” Optics Express8, 655–663 (2001).
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J. P. Kottmann and O. J. F. Martin, “Retardation-induced plasmon resonances in coupled nanoparticles,” Optics Lett.26, 1096–1098 (2001).
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1999 (1)

H. Xu, E. Bjeneld, M. Käll, and L. Börjesson, “Spectroscopy of single hemoglobin molecules by surface enhanced Raman scattering,” Phys. Rev. Lett.83, 4357–4360 (1999).
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1998 (3)

M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, “Electromagnetic energy transport via linear chains of silver nanoparticles,” Opt. Lett.23, 1331–1333 (1998).
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1997 (1)

L. Serra and A. Rubio, “Core polarization in the optical response of metal clusters: generalized time-dependent density-functional theory,” Phys. Rev. Lett.78, 1428–1431 (1997).
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1990 (1)

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1989 (1)

J. H. Parks and S. A. McDonald, “Evolution of the collective-mode resonance in small adsorbed sodium clusters,” Phys. Rev. Lett.62, 2301–2304 (1989).
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1987 (1)

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1984 (1)

P. Apell, Å. Ljungbert, and S. Lundqvist, “Non-local effects at metal surfaces,” Physica Scripta30, 367–383 (1984).
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1983 (1)

P. Apell and D. R. Penn, “Optical properties of small metal spheres: surface effects,” Phys. Rev. Lett.50, 1316–1319 (1983).
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1982 (2)

P. J. Feibelman, “Surface electromagnetic fields,” Progress in Surface Science12, 287–407 (1982).
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P. Apell and Å. Ljungbert, “Red shift of surface plasmons in small metal particles,” Solid State Commun.44, 1367–1369 (1982).
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1976 (1)

O. Gunnarson and B. I. Lundqvist, “Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism,” Phys. Rev. B13, 4274–4298 (1976).
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1970 (1)

A. J. Bennett, “Influence of the electron charge distribution on surface-plasmon dispersion,” Phys. Rev. B1, 203–207 (1970).
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S. S. Aćimović, M. P. Kreuzer, M. U. González, and R. Quidant, “Plasmon near-field coupling in metal dimers as a step toward single-molecule sensing,” ACS Nano3, 1231–1237 (2009).
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Aizpurua, J.

T. V. Teperik, P. Nordlander, J. Aizpurua, and A.G. Borisov, “Robust subnanometric plasmon ruler by rescaling of the nonlocal optical response,” Phys. Rev. Lett.110, 263901 (2013).
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D. C. Marinica, A. K. Kazansky, P. Nordlander, J. Aizpurua, and A. G. Borisov, “Quantum plasmonics: nonlinear effects in the field enhancement of a plasmonic nanoparticle dimer,” Nano Lett.12, 1333–1339 (2012).
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K. J. Savage, M. M. Hawkeye, R. Esteban, A. G. Borisov, J. Aizpurua, and J. J. Baumberg, “Revealing the quantum regime in tunnelling plasmonics,” Nature491, 574–577 (2012).
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R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nature Commun.3, 825 (2012).
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R. W. Taylor, T.-Ch. Lee, O. A. Scherman, R. Esteban, J. Aizpurua, F. M. Huang, J. J. Baumberg, and S. Mahajan, “Precise subnanometer plasmonic junctions for SERS within gold nanoparticle assemblies using cucurbit[n]uril ”glue”,” ACS Nano5, 3878–3887 (2011).
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O. Pérez-González, N. Zabala, and J. Aizpurua, “Optical characterization of charge transfer and bonding dimer plasmons in linked interparticle gaps,” New J. Phys.13, 083013 (2011).
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O. Pérez-González, N. Zabala, A. G. Borisov, N. J. Halas, P. Nordlander, and J. Aizpurua, “Optical spectroscopy of conductive junctions in plasmonic cavities,” Nano Lett.10, 3090–3095 (2010).
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M. Schnell, A. Garcia-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nature Photonics3, 287–291 (2009).
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I. Romero, J. Aizpurua, G. W. Bryant, and F. J. García de Abajo, “Plasmons in nearly touching metallic nanoparticles: singular response in the limit of touching dimers,” Optics Express14, 9988–9999 (2006).
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Alivisatos, A. P.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science332, 1407–1410 (2011).
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Allegrini, M.

B. Fazio, C. D’Andrea, F. Bonaccorso, A. Irrera, G. Calogero, C. Vasi, P. G. Gucciardi, M. Allegrini, A. Toma, D. Chiappe, C. Martella, and F. B. de Mongeot, “Re-radiation enhancement in polarized surface-enhanced resonant Raman scattering of randomly oriented molecules on self-organized gold nanowires,” ACS Nano5, 5945–5956 (2011).
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Alvarez-Puebla, R.

R. Alvarez-Puebla, L. M. Liz-Marzán, and F. J. García de Abajo, “Light concentration at the nanometer scale,” J. Phys. Chem. Lett.1, 2428–2434 (2010).
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Andersen, K.

K. Andersen, K. L. Jensen, N. A. Mortensen, and K. S. Thygesen, “Visualizing hybridized quantum plasmons in coupled nanowires: From classical to tunneling regime,” Phys. Rev. B87, 235433 (2013).
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R. C. Monreal, T. J. Antosiewicz, and P. Apell, “Competition between surface screening and size quantization for surface plasmons in nanoparticles,” New J. Phys.15, 083044 (2013).
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Apell, P.

R. C. Monreal, T. J. Antosiewicz, and P. Apell, “Competition between surface screening and size quantization for surface plasmons in nanoparticles,” New J. Phys.15, 083044 (2013).
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P. Apell, Å. Ljungbert, and S. Lundqvist, “Non-local effects at metal surfaces,” Physica Scripta30, 367–383 (1984).
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P. Apell and D. R. Penn, “Optical properties of small metal spheres: surface effects,” Phys. Rev. Lett.50, 1316–1319 (1983).
[CrossRef]

P. Apell and Å. Ljungbert, “Red shift of surface plasmons in small metal particles,” Solid State Commun.44, 1367–1369 (1982).
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Apkarian, V. A.

M. Banik, P. Z. El-Khoury, A. Nag, A. Rodriguez-Perez, N. Guarrottxena, G. C. Bazan, and V. A. Apkarian, “Surface-enhanced Raman trajectories on a nano-dumbbell: transition from field to charge transfer plasmons as the spheres fuse,” ACS Nano6, 10343–10354 (2012).
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Arielly, R.

R. Arielly, A. Ofarim, G. Noy, and Y. Selzer, “Accurate determination of plasmonic fields in molecular junctions by current rectification at optical frequencies,” Nano Lett.11, 2968–2972 (2011).
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Atay, T.

T. Atay, J.-H. Song, and A. V. Nurmikko, “Strongly interacting plasmon nanoparticle pairs: from dipole-dipole interaction to conductively coupled regime,” Nano Lett.4, 1627–1631 (2004).
[CrossRef]

Atwater, H. A.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nature Materials2, 229–232 (2003).
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Aubry, A.

D. Y. Lei, A. Aubry, Y. Luo, S. A. Maier, and J. B. Pendry, “Plasmon interaction between overlapping nanowires,” ACS Nano5, 597–607 (2011).
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Aussenegg, F. R.

Bachelier, G.

S. Marhaba, G. Bachelier, Ch. Bonnet, M. Broyer, E. Cottancin, N. Grillet, J. Lerme, J.-L. Vialle, and M. Pellarin, “Surface plasmon resonance of single gold nanodimers near the conductive contact limit,” J. Phys. Chem. C113, 4349–4356 (2009).
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Bakshi, P.

K.-D. Tsuei, E. W. Plummer, A. Liebsch, K. Kempa, and P. Bakshi, “Multipole plasmon modes at a metal surface,” Phys. Rev. Lett.64, 44–47 (1990).
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M. Banik, P. Z. El-Khoury, A. Nag, A. Rodriguez-Perez, N. Guarrottxena, G. C. Bazan, and V. A. Apkarian, “Surface-enhanced Raman trajectories on a nano-dumbbell: transition from field to charge transfer plasmons as the spheres fuse,” ACS Nano6, 10343–10354 (2012).
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Barnard, E. S.

J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, “Plasmonics for extreme light concentration and manipulation,” Nature Materials9, 193–204 (2010).
[CrossRef] [PubMed]

Baumberg, J. J.

K. J. Savage, M. M. Hawkeye, R. Esteban, A. G. Borisov, J. Aizpurua, and J. J. Baumberg, “Revealing the quantum regime in tunnelling plasmonics,” Nature491, 574–577 (2012).
[CrossRef] [PubMed]

R. W. Taylor, T.-Ch. Lee, O. A. Scherman, R. Esteban, J. Aizpurua, F. M. Huang, J. J. Baumberg, and S. Mahajan, “Precise subnanometer plasmonic junctions for SERS within gold nanoparticle assemblies using cucurbit[n]uril ”glue”,” ACS Nano5, 3878–3887 (2011).
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M. Banik, P. Z. El-Khoury, A. Nag, A. Rodriguez-Perez, N. Guarrottxena, G. C. Bazan, and V. A. Apkarian, “Surface-enhanced Raman trajectories on a nano-dumbbell: transition from field to charge transfer plasmons as the spheres fuse,” ACS Nano6, 10343–10354 (2012).
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A. J. Bennett, “Influence of the electron charge distribution on surface-plasmon dispersion,” Phys. Rev. B1, 203–207 (1970).
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S. Berciaud, L. Cognet, P. Tamarat, and B. Lounis, “Observation of intrinsic size effects in the optical response of individual gold nanoparticles,” Nano Lett.5, 515–518 (2005).
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Bharadwaj, P.

Biagioni, P.

J. Kern, S. Großmann, N. V. Tarakina, T. Häckel, M. Emmerling, M. Kamp, J.-S. Huang, P. Biagioni, J. C. Prangsma, and B. Hecht, “Atomic-scale confinement of resonant optical fields,” Nano Lett.12, 5504–5509 (2012).
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H. Xu, E. Bjeneld, M. Käll, and L. Börjesson, “Spectroscopy of single hemoglobin molecules by surface enhanced Raman scattering,” Phys. Rev. Lett.83, 4357–4360 (1999).
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Bonaccorso, F.

B. Fazio, C. D’Andrea, F. Bonaccorso, A. Irrera, G. Calogero, C. Vasi, P. G. Gucciardi, M. Allegrini, A. Toma, D. Chiappe, C. Martella, and F. B. de Mongeot, “Re-radiation enhancement in polarized surface-enhanced resonant Raman scattering of randomly oriented molecules on self-organized gold nanowires,” ACS Nano5, 5945–5956 (2011).
[CrossRef] [PubMed]

Bonnet, Ch.

S. Marhaba, G. Bachelier, Ch. Bonnet, M. Broyer, E. Cottancin, N. Grillet, J. Lerme, J.-L. Vialle, and M. Pellarin, “Surface plasmon resonance of single gold nanodimers near the conductive contact limit,” J. Phys. Chem. C113, 4349–4356 (2009).
[CrossRef]

Borggreen, J.

J. Borggreen, P. Chowdhury, N. Kebaïli, L. Lundsberg-Nielsen, K. Lützenkirchen, M. B. Nielsen, J. Pedersen, and H. D. Rasmussen, “Plasma excitations in charged sodium clusters,” Phys. Rev. B48, 17507–17516 (1993).
[CrossRef]

Borisov, A. G.

R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nature Commun.3, 825 (2012).
[CrossRef]

K. J. Savage, M. M. Hawkeye, R. Esteban, A. G. Borisov, J. Aizpurua, and J. J. Baumberg, “Revealing the quantum regime in tunnelling plasmonics,” Nature491, 574–577 (2012).
[CrossRef] [PubMed]

D. C. Marinica, A. K. Kazansky, P. Nordlander, J. Aizpurua, and A. G. Borisov, “Quantum plasmonics: nonlinear effects in the field enhancement of a plasmonic nanoparticle dimer,” Nano Lett.12, 1333–1339 (2012).
[CrossRef] [PubMed]

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[CrossRef]

Progress in Surface Science (1)

P. J. Feibelman, “Surface electromagnetic fields,” Progress in Surface Science12, 287–407 (1982).
[CrossRef]

Rep. Prog. Phys. (1)

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys.70, 1–87 (2007).
[CrossRef]

Science (3)

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science332, 1407–1410 (2011).
[CrossRef] [PubMed]

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,” Science337, 1072–1074 (2012).
[CrossRef] [PubMed]

P. Mühlschlegel, H.-J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science308, 1607–1609 (2005).
[CrossRef] [PubMed]

Solid State Commun. (1)

P. Apell and Å. Ljungbert, “Red shift of surface plasmons in small metal particles,” Solid State Commun.44, 1367–1369 (1982).
[CrossRef]

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