Abstract

There is wide interest in understanding and leveraging the nonlinear plasmon-induced potentials of nanostructured materials. We investigate the electrical response produced by spin-polarized light across a large-area bottom-up assembled 2D plasmonic crystal. Numerical approximations of the Lorentz forces provide quantitative agreement with our experimentally-measured DC voltages. We show that the underlying mechanism of the spin-polarized voltages is a gradient force that arises from asymmetric, time-averaged hotspots, whose locations shift with the chirality of light. Finally, we formalize the role of spin-orbit interactions in the shifted intensity patterns and significantly advance our understanding of the physical phenomena, often related to the spin Hall effect of light.

© 2016 Optical Society of America

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    [Crossref] [PubMed]
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  7. S. Zhang, H. Wei, K. Bao, U. Håkanson, N. J. Halas, P. Nordlander, and H. Xu, “Chiral surface plasmon polaritons on metallic nanowires,” Phys. Rev. Lett. 107(9), 096801 (2011).
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  8. M. T. Sheldon, J. van de Groep, A. M. Brown, A. Polman, and H. A. Atwater, “Nanophotonics: Plasmoelectric potentials in metal nanostructures,” Science 346(6211), 828–831 (2014).
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  9. S. Mubeen, J. Lee, W. R. Lee, N. Singh, G. D. Stucky, and M. Moskovits, “On the plasmonic photovoltaic,” ACS Nano 8(6), 6066–6073 (2014).
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  35. K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
    [Crossref] [PubMed]
  36. T. Kelf, Y. Sugawara, R. Cole, J. Baumberg, M. Abdelsalam, S. Cintra, S. Mahajan, A. Russell, and P. Bartlett, “Localized and delocalized plasmons in metallic nanovoids,” Phys. Rev. B 74(24), 245415 (2006).
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    [Crossref] [PubMed]
  39. N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, “Spin Hall effect of light in metallic reflection,” Opt. Lett. 36(16), 3200–3202 (2011).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  41. L. T. Vuong, A. J. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, “Electromagnetic spin-orbit interactions via scattering of subwavelength apertures,” Phys. Rev. Lett. 104(8), 083903 (2010).
    [Crossref] [PubMed]
  42. Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, “Observation of optical spin symmetry breaking in nanoapertures,” Nano Lett. 9(8), 3016–3019 (2009).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
  47. M. E. Abdelsalam, P. N. Bartlett, J. J. Baumberg, S. Cintra, T. A. Kelf, and A. E. Russell, “Electrochemical SERS at a structured gold surface,” Electrochem. Commun. 7(7), 740–744 (2005).
    [Crossref]
  48. N. M. B. Perney, J. J. Baumberg, M. E. Zoorob, M. D. B. Charlton, S. Mahnkopf, and C. M. Netti, “Tuning localized plasmons in nanostructured substrates for surface-enhanced Raman scattering,” Opt. Express 14(2), 847–857 (2006).
    [Crossref] [PubMed]
  49. S. Linic, P. Christopher, and D. B. Ingram, “Plasmonic-metal nanostructures for efficient conversion of solar to chemical energy,” Nat. Mater. 10(12), 911–921 (2011).
    [Crossref] [PubMed]
  50. J. Lee, S. Mubeen, X. Ji, G. D. Stucky, and M. Moskovits, “Plasmonic photoanodes for solar water splitting with visible light,” Nano Lett. 12(9), 5014–5019 (2012).
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2016 (2)

2015 (6)

W. Li, Z. J. Coppens, L. V. Besteiro, W. Wang, A. O. Govorov, and J. Valentine, “Circularly polarized light detection with hot electrons in chiral plasmonic metamaterials,” Nat. Commun. 6, 8379 (2015).
[Crossref] [PubMed]

M. Akbari, M. Onoda, and T. Ishihara, “Photo-induced voltage in nano-porous gold thin film,” Opt. Express 23(2), 823–832 (2015).
[Crossref] [PubMed]

Q. Bai, “Manipulating photoinduced voltage in metasurface with circularly polarized light,” Opt. Express 23(4), 5348–5356 (2015).
[Crossref] [PubMed]

A. Shaltout, J. Liu, A. Kildishev, and V. Shalaev, “Photonic spin Hall effect in gap–plasmon metasurfaces for on-chip chiroptical spectroscopy,” Optica 2(10), 860 (2015).
[Crossref]

K. Y. Bliokh and F. Nori, “Transverse and longitudinal angular momenta of light,” Phys. Rep. 592, 1–38 (2015).
[Crossref]

K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, “Spin-orbit interactions of light,” Nat. Photonics 9(12), 796–808 (2015).
[Crossref]

2014 (5)

M. Moocarme, J. L. Domínguez-Juárez, and L. T. Vuong, “Ultralow-intensity magneto-optical and mechanical effects in metal nanocolloids,” Nano Lett. 14(3), 1178–1183 (2014).
[Crossref] [PubMed]

M. Moocarme, B. Kusin, and L. T. Vuong, “Plasmon-induced Lorentz forces of nanowire chiral hybrid modes,” Opt. Mater. Express 4(11), 645–648 (2014).
[Crossref]

A. D. Boardman and A. V. Zayats, “Nonlinear plasmonics,” Handb. Surf. Sci. 4, 329–347 (2014).
[Crossref]

M. T. Sheldon, J. van de Groep, A. M. Brown, A. Polman, and H. A. Atwater, “Nanophotonics: Plasmoelectric potentials in metal nanostructures,” Science 346(6211), 828–831 (2014).
[Crossref] [PubMed]

S. Mubeen, J. Lee, W. R. Lee, N. Singh, G. D. Stucky, and M. Moskovits, “On the plasmonic photovoltaic,” ACS Nano 8(6), 6066–6073 (2014).
[Crossref] [PubMed]

2013 (4)

W. Hou and S. B. Cronin, “A review of surface plasmon resonance-enhanced photocatalysis,” Adv. Funct. Mater. 23(13), 1612–1619 (2013).
[Crossref]

Z. Yan, M. Pelton, L. Vigderman, E. R. Zubarev, and N. F. Scherer, “Why single-beam optical tweezers trap gold nanowires in three dimensions,” ACS Nano 7(10), 8794–8800 (2013).
[Crossref] [PubMed]

N. Noginova, V. Rono, F. J. Bezares, and J. D. Caldwell, “Plasmon drag effect in metal nanostructures,” New J. Phys. 15(11), 113061 (2013).
[Crossref]

X. Yin, Z. Ye, J. Rho, Y. Wang, and X. Zhang, “Photonic spin Hall effect at metasurfaces,” Science 339(6126), 1405–1407 (2013).
[Crossref] [PubMed]

2012 (4)

H. Kurosawa and T. Ishihara, “Surface plasmon drag effect in a dielectrically modulated metallic thin film,” Opt. Express 20(2), 1561–1574 (2012).
[Crossref] [PubMed]

J. Lee, S. Mubeen, X. Ji, G. D. Stucky, and M. Moskovits, “Plasmonic photoanodes for solar water splitting with visible light,” Nano Lett. 12(9), 5014–5019 (2012).
[Crossref] [PubMed]

I. Fernandez-Corbaton, X. Zambrana-Puyalto, and G. Molina-Terriza, “Helicity and angular momentum: A symmetry-based framework for the study of light-matter interactions,” Phys. Rev. A 86(4), 1–14 (2012).
[Crossref]

H. Kurosawa, T. Ishihara, N. Ikeda, D. Tsuya, M. Ochiai, and Y. Sugimoto, “Optical rectification effect due to surface plasmon polaritons at normal incidence in a nondiffraction regime,” Opt. Lett. 37(14), 2793–2795 (2012).
[Crossref] [PubMed]

2011 (6)

N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, “Spin Hall effect of light in metallic reflection,” Opt. Lett. 36(16), 3200–3202 (2011).
[Crossref] [PubMed]

S. Linic, P. Christopher, and D. B. Ingram, “Plasmonic-metal nanostructures for efficient conversion of solar to chemical energy,” Nat. Mater. 10(12), 911–921 (2011).
[Crossref] [PubMed]

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[Crossref] [PubMed]

F. Wang and N. A. Melosh, “Plasmonic energy collection through hot carrier extraction,” Nano Lett. 11(12), 5426–5430 (2011).
[Crossref] [PubMed]

S. Zhang, H. Wei, K. Bao, U. Håkanson, N. J. Halas, P. Nordlander, and H. Xu, “Chiral surface plasmon polaritons on metallic nanowires,” Phys. Rev. Lett. 107(9), 096801 (2011).
[Crossref] [PubMed]

N. Noginova, A. V. Yakim, J. Soimo, L. Gu, and M. A. Noginov, “Light-to-current and current-to-light coupling in plasmonic systems,” Phys. Rev. B 84(3), 035447 (2011).
[Crossref]

2010 (3)

J. Karch, P. Olbrich, M. Schmalzbauer, C. Zoth, C. Brinsteiner, M. Fehrenbacher, U. Wurstbauer, M. M. Glazov, S. A. Tarasenko, E. L. Ivchenko, D. Weiss, J. Eroms, R. Yakimova, S. Lara-Avila, S. Kubatkin, and S. D. Ganichev, “Dynamic Hall effect driven by circularly polarized light in a graphene layer,” Phys. Rev. Lett. 105(22), 227402 (2010).
[Crossref] [PubMed]

L. T. Vuong, A. J. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, “Electromagnetic spin-orbit interactions via scattering of subwavelength apertures,” Phys. Rev. Lett. 104(8), 083903 (2010).
[Crossref] [PubMed]

H. Nabika, M. Takase, F. Nagasawa, and K. Murakoshi, “Toward plasmon-induced photoexcitation of molecules,” J. Phys. Chem. Lett. 1(16), 2470–2487 (2010).
[Crossref]

2009 (3)

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, “Observation of optical spin symmetry breaking in nanoapertures,” Nano Lett. 9(8), 3016–3019 (2009).
[Crossref] [PubMed]

T. Hatano, T. Ishihara, S. G. Tikhodeev, and N. A. Gippius, “Transverse photovoltage induced by circularly polarized light,” Phys. Rev. Lett. 103(10), 103906 (2009).
[Crossref] [PubMed]

M. Durach, A. Rusina, and M. I. Stockman, “Giant surface-plasmon-induced drag effect in metal nanowires,” Phys. Rev. Lett. 103(18), 186801 (2009).
[Crossref] [PubMed]

2008 (1)

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, “Observation of the spin-based plasmonic effect in nanoscale structures,” Phys. Rev. Lett. 101(4), 043903 (2008).
[Crossref] [PubMed]

2006 (3)

N. M. B. Perney, J. J. Baumberg, M. E. Zoorob, M. D. B. Charlton, S. Mahnkopf, and C. M. Netti, “Tuning localized plasmons in nanostructured substrates for surface-enhanced Raman scattering,” Opt. Express 14(2), 847–857 (2006).
[Crossref] [PubMed]

K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
[Crossref] [PubMed]

T. Kelf, Y. Sugawara, R. Cole, J. Baumberg, M. Abdelsalam, S. Cintra, S. Mahajan, A. Russell, and P. Bartlett, “Localized and delocalized plasmons in metallic nanovoids,” Phys. Rev. B 74(24), 245415 (2006).
[Crossref]

2005 (6)

M. H. Kim, S. H. Im, and O. O. Park, “Rapid fabrication of two- and three-dimensional colloidal crystal films via confined convective assembly,” Adv. Funct. Mater. 15(8), 1329–1335 (2005).
[Crossref]

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[Crossref] [PubMed]

Y. Lu, G. L. Liu, J. Kim, Y. X. Mejia, and L. P. Lee, “Nanophotonic crescent moon structures with sharp edge for ultrasensitive biomolecular detection by local electromagnetic field enhancement effect,” Nano Lett. 5(1), 119–124 (2005).
[Crossref] [PubMed]

S. A. Maier and H. A. Atwater, “Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures,” J. Appl. Phys. 98(1), 011101 (2005).
[Crossref]

A. S. Vengurlekar and T. Ishihara, “Surface plasmon enhanced photon drag in metal films,” Appl. Phys. Lett. 87(9), 091118 (2005).
[Crossref]

M. E. Abdelsalam, P. N. Bartlett, J. J. Baumberg, S. Cintra, T. A. Kelf, and A. E. Russell, “Electrochemical SERS at a structured gold surface,” Electrochem. Commun. 7(7), 740–744 (2005).
[Crossref]

2004 (2)

M. Onoda, S. Murakami, and N. Nagaosa, “Hall effect of light,” Phys. Rev. Lett. 93(8), 083901 (2004).
[Crossref] [PubMed]

P. N. Bartlett, J. J. Baumberg, S. Coyle, and M. E. Abdelsalam, “Optical properties of nanostructured metal films,” Faraday Discuss. 125, 117–132, discussion 195–219 (2004).
[Crossref] [PubMed]

2002 (1)

A. T. O’Neil, I. MacVicar, L. Allen, and M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88(5), 053601 (2002).
[Crossref] [PubMed]

2000 (1)

J. E. Goff and W. L. Schaich, “Theory of the photon-drag effect in simple metals,” Phys. Rev. B 61(15), 10471–10477 (2000).
[Crossref]

1992 (1)

A. V. Dooghin, N. D. Kundikova, V. S. Liberman, and B. Y. Zel’dovich, “Optical Magnus effect,” Phys. Rev. A 45(11), 8204–8208 (1992).
[Crossref] [PubMed]

1988 (1)

S. Luryi and S. Luryi, “Theory of the photon-drag effect in a two-dimensional electron gas,” Phys. Rev. B Condens. Matter 38(1), 87–96 (1988).
[Crossref] [PubMed]

1973 (1)

J. P. Gordon, “Radiation forces and momenta in dielectric media,” Phys. Rev. A 8(1), 14–21 (1973).
[Crossref]

1972 (1)

P. B. Johnson and R. W. Christry, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Abdelsalam, M.

T. Kelf, Y. Sugawara, R. Cole, J. Baumberg, M. Abdelsalam, S. Cintra, S. Mahajan, A. Russell, and P. Bartlett, “Localized and delocalized plasmons in metallic nanovoids,” Phys. Rev. B 74(24), 245415 (2006).
[Crossref]

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[Crossref] [PubMed]

Abdelsalam, M. E.

M. E. Abdelsalam, P. N. Bartlett, J. J. Baumberg, S. Cintra, T. A. Kelf, and A. E. Russell, “Electrochemical SERS at a structured gold surface,” Electrochem. Commun. 7(7), 740–744 (2005).
[Crossref]

P. N. Bartlett, J. J. Baumberg, S. Coyle, and M. E. Abdelsalam, “Optical properties of nanostructured metal films,” Faraday Discuss. 125, 117–132, discussion 195–219 (2004).
[Crossref] [PubMed]

Adam, A. J.

L. T. Vuong, A. J. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, “Electromagnetic spin-orbit interactions via scattering of subwavelength apertures,” Phys. Rev. Lett. 104(8), 083903 (2010).
[Crossref] [PubMed]

Aiello, A.

Akbari, M.

Allen, L.

A. T. O’Neil, I. MacVicar, L. Allen, and M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88(5), 053601 (2002).
[Crossref] [PubMed]

Atwater, H. A.

M. T. Sheldon, J. van de Groep, A. M. Brown, A. Polman, and H. A. Atwater, “Nanophotonics: Plasmoelectric potentials in metal nanostructures,” Science 346(6211), 828–831 (2014).
[Crossref] [PubMed]

S. A. Maier and H. A. Atwater, “Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures,” J. Appl. Phys. 98(1), 011101 (2005).
[Crossref]

Bai, Q.

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N. Noginova, A. V. Yakim, J. Soimo, L. Gu, and M. A. Noginov, “Light-to-current and current-to-light coupling in plasmonic systems,” Phys. Rev. B 84(3), 035447 (2011).
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Other (1)

S. A. Maier, Plasmonics Fundamentals and Applications (Springer, 2007).

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic of the sample setup, where the angle of incidence, θAOI, in X-Z plane. The sample area is 3 mm in the x-direction, and 14 mm the y-direction, transverse to the plane of incidence. The voltage is measured along the y–axis of the sample. (b) Schematic drawing of the nanovoid surface. (c) SEM and (d) AFM images of the nanovoids. The nanovoids have a median depth of 90 nm, a corresponding rim diameter of 430 nm, and a lattice constant of 600 nm

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Fig. 2
Fig. 2

a) Experimentally-measured reflection spectra of CPL from nanovoid sample. The dashed line and shaded area show the SPP dispersion from numerical simulations corresponding to a nanovoid depth of 90 ± 15 nm. The boxed area represents the spectral and angular region where the TPIV is measured. (b) Contour plots of the numerically calculated (i & iii) experimentally measured (ii & iv) TPIV for RCP (i & ii) and LCP (iii & iv). The dashed line in each plot represents the spectral location of the peak TPIV in the numerical calculations.

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Fig. 3
Fig. 3

(a) Experimental (data points) and numerically calculated (solid lines) TPIV. (b) The GF (solid line) and SF (dashed line) contributions to the TPIV for both LCP (blue) and RCP (red). All data is taken at a θAOI of 30°.

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Fig. 4
Fig. 4

(a & b) Contour plot of the E-field normal to the surface of a unit cell with lattice constant of 600 nm when illuminated with (a) LCP and (b) RCP near the plasmon resonance (538 nm) for an θAOI of 30°. The inset plots are the corresponding contour plots of the light-induced forces produced on the surface of a nanovoid unit cell. The arrows indicate the direction and logarithmic-scaled magnitude of the local net force produced at the base of the arrow on a positive test charge. (c & d) The normalized z-component of field intensity along the rim of a circular aperture according to Eq. (3) (red) and numerically calculated (black) for (c) LCP and (d) RCP. The azimuthal angle represents the angular position around the rim of each structure starting from the x-axis, which is in the plane of illumination.

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Equations (5)

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F= α R 4 ∇ | E | 2 + α I 2 Im{ ∑ E j * ∇ E j },
TPIV= 1 e * 1 Vol ∫ F y ( r ) dr* L,
Δ ± =− ∫ −∞ ξ e −ik( ξ ′ −ξ ) [ ∂ ρ A ′ ±( i ∂ ϕ − m l ρ A ′ ) ]d ξ ′ e i( m l ±1 )ϕ
  E p =−cos(   θ AOI ) Δ ± +sin(   θ AOI ) A,
A = H( ρ−  a √(1+ cos 2 ( ϕ ) tan 2 (   θ AOI )) ),

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