Abstract
Using state-of-the-art quantum mechanical calculations, we investigate the spatial profile of the electric field enhancements induced within an optical cavity embedded with a variety of organic molecules. We observed marked differences in the spectral positions, spectral intensities, maximum achievable electric field, and spatial profile of the electric field with a remarkable sensitivity to the embedded molecular type. In a broader perspective, our quantum mechanical calculations provide quantitative access to the molecule-dependent electric field distributions and unveil intricate and rich optical features.
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The data and materials generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
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The computational codes employed in the current study are available from the corresponding author on reasonable request.
References
Koenderink AF, Alù A, Polman A (2015) Nanophotonics: Shrinking light-based technology. Science 348 (6234):516–521 https://science.sciencemag.org/content/348/6234/516
Maier SA, Kik PG, Atwater HA, Meltzer S, Harel E, Koel BE, Requicha AAG (2003) Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides. Nat Mater 2(4):229–232. https://doi.org/10.1038/nmat852
Moerner WE, Kador L (1989) Optical detection and spectroscopy of single molecules in a solid. Phys Rev Lett 62:2535–2538 https://link.aps.org/doi/10.1103/PhysRevLett.62.2535
Koenderink AF (2017) Single-photon nanoantennas. ACS Photonics 4(4):710–722 pMID:29354664
Morgan BL, Mandel L (1966) Measurement of photon bunching in a thermal light beam. Phys Rev Lett 16:1012–1015 https://link.aps.org/doi/10.1103/PhysRevLett.16.1012
Basché T, Moerner WE, Orrit M, Talon H (1992) Photon antibunching in the fluorescence of a single dye molecule trapped in a solid. Phys Rev Lett 69:1516–1519 https://link.aps.org/doi/10.1103/PhysRevLett.69.1516
Purcell EM, Torrey HC, Pound RV (1946) Resonance absorption by nuclear magnetic moments in a solid. Phys Rev 69:37–38 https://link.aps.org/doi/10.1103/PhysRev.69.37
Kongsuwan N, Demetriadou A, Chikkaraddy R, Benz F, Turek VA, Keyser UF, Baumberg JJ, Hess O (2018) Suppressed quenching and strong-coupling of purcell-enhanced singlemoleculeemission in plasmonic nanocavities. ACS Photonics 5(1):186–191
Itoh T, Yamamoto YS, Ozaki Y (2017) Plasmon-enhanced spectroscopy of absorption and spontaneous emissions explained using cavity quantum optics. Chem. Soc. Rev. 46:3904–3921. https://doi.org/10.1039/C7CS00155J
Aroca RF (2013) Plasmon enhanced spectroscopy. Phys Chem Chem Phys 15:5355–5363. https://doi.org/10.1039/C3CP44103B
Imada H, Miwa K, Imai-Imada M, Kawahara S, Kimura K, Kim Y (2017) Single-molecule investigation of energy dynamics in a coupled plasmon-exciton system. Phys Rev Lett 119:013901 https://link.aps.org/doi/10.1103/PhysRevLett.119.013901
Benz F, Schmidt MK, Dreismann A, Chikkaraddy R, Zhang Y, Demetriadou A, Carnegie C, Ohadi H, de Nijs B, Esteban R, Aizpurua J, Baumberg JJ (2016) Single-molecule optomechanics in picocavities”. Science 354(6313):726–729 https://science.sciencemag.org/content/354/6313/726
Bahsoun H, Chervy T, Thomas A, Borjesson K, Hertzog M, George J, Devaux E, Genet C, Hutchison JA, Ebbesen TW (2018) Electronic light–matter strong coupling in nanofluidicfabry–perot cavities. ACS Photonics 5(1):225–232
Zhang R, Zhang Y, Dong ZC, Jiang S, Zhang C, Chen LG, Zhang L, Liao Y, Aizpurua J, Luo Y, Yang JL, Hou JG (2013) Chemical mapping of a single molecule by plasmon-enhanced raman scattering. Nature 498(7452):82–86. https://doi.org/10.1038/nature12151
Zhu W, Crozier KB (2014) Quantum mechanical limit to plasmonic enhancement as observed by surface-enhanced raman scattering. Nat Commun 5(1):5228. https://doi.org/10.1038/ncomms6228
Galego J, Garcia-Vidal FJ, Feist J (2015) Cavity-induced modifications of molecular structure in the strong-coupling regime. Phys Rev X 5:041022 https://link.aps.org/doi/10.1103/PhysRevX.5.041022
Herrera F, Spano FC (2016) Cavity-controlled chemistry in molecular ensembles. Phys Rev Lett 116:238301 https://link.aps.org/doi/10.1103/PhysRevLett.116.238301
Deng H, Weihs G, Santori C, Bloch J, Yamamoto Y (2002) Condensation of semiconductor microcavity exciton polaritons. Science 298(5591):199–202 https://science.sciencemag.org/content/298/5591/199
Balili R, Hartwell V, Snoke D, Pfeiffer L, West K (2007) Bose-einstein condensation of microcavity polaritons in a trap. Science 316(5827):1007–1010 https://science.sciencemag.org/content/316/5827/1007
Coles DM, Somaschi N, Michetti P, Clark C, Lagoudakis PG, Savvidis PG, Lidzey DG (2014) Polariton-mediated energy transfer between organic dyes in a strongly coupled optical microcavity. Nat Mater 13(7):712–719. https://doi.org/10.1038/nmat3950
Zhong X, Chervy T, Zhang L, Thomas A, George J, Genet C, Hutchison JA, Ebbesen TW (2017) Energy transfer between spatially separated entangled molecules. Angew Chem Int Ed 56(31):9034–9038
Marques M, Gross E (2004) Time-dependent density functional theory. Annu Rev Phys Chem 55(1):427–455. pMID: 15117259
Stratmann RE, Scuseria GE, Frisch MJ (1998) An efficient implementation of time-dependentdensity-functional theory for the calculation of excitation energies of large molecules. J Chem Phys 109(19):8218–8224
Runge E, Gross EKU (1984) Density-functional theory for time-dependent systems. Phys Rev Lett 52:997–1000 https://link.aps.org/doi/10.1103/PhysRevLett.52.997
Calais JL (1993) Density-functional theory of atoms and molecules. r.g. parr and w. yang, oxforduniversity press, new york, oxford, 1989. ix + 333 pp. price 45.00. Int J Quantum Chem 47(1):101–101
Yu R, Cox JD, Saavedra JRM, Garcia de Abajo FJ (2017) Analytical modeling of grapheneplasmons. ACS Photonics 4(12):3106–3114
de Vega S, Garcia de Abajo FJ (2017) Plasmon generation through electron tunneling in graphene. ACS Photonics 4(9):2367–2375
Fei Z, Rodin AS, Andreev GO, Bao W, McLeod AS, Wagner M, Zhang LM, Zhao Z, Thiemens M, Dominguez G, Fogler MM, Neto AHC, Lau CN, Keilmann F, Basov DN (2012) Gate-tuning of graphene plasmons revealed by infrared nano-imaging. Nature 487(7405):82–85. https://doi.org/10.1038/nature11253
Brar VW, Jang MS, Sherrott M, Lopez JJ, Atwater HA (2013) Highly confined tunablemid-infrared plasmonics in graphene nanoresonators. Nano Letters 13(6):2541–2547. pMID: 23621616
Yan H, Li Z, Li X, Zhu W, Avouris P, Xia F (2012) Infrared spectroscopy of tunable diracterahertz magneto-plasmons in graphene, Nano Letters 12 (7) 3766–3771, pMID:22690695
Garcia de Abajo FJ, (2014) Graphene plasmonics: Challenges and opportunities, ACS Photonics1 (3) 135–152
Ni GX, Wang L, Goldflam MD, Wagner M, Fei Z, McLeod AS, Liu MK, Keilmann F, Özyilmaz B, Castro Neto AH, Hone J, Fogler MM, Basov DN (2016) Ultrafast optical switching of infrared plasmon polaritons in high-mobility graphene, Nat Photonics 10 (4) 244–247 https://doi.org/10.1038/nphoton.2016.45
Ilic O, Jablan M, Joannopoulos JD, Celanovic I, Buljan H, Soljačić M, (2012) Near-field thermal radiation transfer controlled by plasmons in graphene, Phys. Rev. B 85 155422 https://link.aps.org/doi/10.1103/PhysRevB.85.155422
Yu R, Garcia de Abajo FJ, (2016) Electrical detection of single graphene plasmons, ACS Nano10 (8) 8045–8053, pMID: 27472914
Yu R, Cox JD, de Abajo FJG (2016) Nonlinear plasmonic sensing with nanographene, Phys. Rev. Lett. 117 123904 https://link.aps.org/doi/10.1103/PhysRevLett.117.123904
Fang Z, Thongrattanasiri S, Schlather A, Liu Z, Ma L, Wang Y, Ajayan PM, Nordlander P, Halas NJ, Garcia de Abajo FJ (2013) Gated tunability and hybridization of localizedplasmons in nanostructured graphene, ACS Nano 7 (3) 2388–2395, pMID: 23390960
Ann DTJGDER, nanoph, (2017) Vol. 6, Ch. Plasmonic circuits for manipulating optical information, p. 543, 3 https://www.degruyter.com/view/j/nanoph.2017.6.issue-3/nanoph-2016-0131/nanoph-2016-0131.xml
Cox JD, García de Abajo FJ (2018) Nonlinear atom-plasmon interactions enabled by nanostructured graphene, Phys. Rev. Lett. 121 257403 https://link.aps.org/doi/10.1103/PhysRevLett.121.257403
Fang Z, Wang Y, Schlather AE, Liu Z, Ajayan PM, Garcia de Abajo FJ, Nordlander P, Zhu X, Halas NJ (2014) Active tunable absorption enhancement with graphene nanodisk arrays,Nano Letters 14 (1) 299–304, pMID: 24320874
Jin R, Cao Y, Mirkin CA, Kelly KL, Schatz GC, Zheng JG (2001) Photoinduced conversion of silver nanospheres to nanoprisms, Science 294 (5548) 1901–1903 https://science.sciencemag.org/content/294/5548/1901
Averitt RD., Sarkar D, Halas NJ (1997) Plasmon resonance shifts of au-coated \({\rm au}_{2}s\) nanoshells: Insight into multicomponent nanoparticle growth, Phys. Rev. Lett. 78 4217–4220 , https://link.aps.org/doi/10.1103/PhysRevLett.78.4217
Myroshnychenko V, Rodriguez-Fernandez J, Pastoriza-Santos I, Funston AM, Novo C, Mulvaney P, Liz-Marzan LM, Garcia de Abajo FJ (2008) Modelling the optical response of gold nanoparticles. Chem. Soc. Rev. 37:1792–1805. https://doi.org/10.1039/B711486A
Aizpurua J, Hanarp P, Sutherland DS, Käll M, Bryant GW, García de Abajo FJ (2003) Optical properties of gold nanorings, Phys. Rev. Lett. 90 057401 https://link.aps.org/doi/10.1103/PhysRevLett.90.057401
Hao F, Nehl CL, Hafner JH, Nordlander P (2007) Plasmon resonances of a gold nanostar, NanoLetters 7 (3) 729–732, pMID: 17279802
Hentschel M, Utikal T, Giessen H, Lippitz M (2012) Quantitative modeling of the third harmonicemission spectrum of plasmonic nanoantennas, Nano Letters 12 (7) 3778–3782,pMID: 22686215
Chikkaraddy R, Zheng X, Benz F, Brooks LJ, de Nijs B, Carnegie C, Kleemann M-E, Mertens J, Bowman RW, Vandenbosch GAE, Moshchalkov VV, Baumberg JJ (2017) Howultranarrow gap symmetries control plasmonic nanocavity modes: From cubes to spheres inthe nanoparticle-on-mirror. ACS Photonics 4(3):469–475
Chikkaraddy R, Turek VA, Kongsuwan N, Benz F, Carnegie C, van de Goor T, de Nijs B, Demetriadou A, Hess O, Keyser UF, Baumberg JJ (2018) Mapping nanoscale hotspots withsingle-molecule emitters assembled into plasmonic nanocavities using dna origami, NanoLetters 18 (1) 405–411, pMID: 29166033
Steuwe C, Erdelyi M, Szekeres G, Csete M, Baumberg JJ, Mahajan S, Kaminski CF (2015) Visualizing electromagnetic fields at the nanoscale by single molecule localization, NanoLetters 15 (5) 3217–3223, pMID: 25915093
Zuloaga J, Prodan E, Nordlander P (2009) Quantum description of the plasmon resonances of ananoparticle dimer, Nano Letters 9 (2) 887–891, pMID: 19159319
Tan SF, Wu L, Yang JK, Bai P, Bosman M, Nijhuis CA (2014) Quantum plasmon resonances controlled by molecular tunnel junctions, Science 343 (6178) 1496–1499 https://science.sciencemag.org/content/343/6178/1496
Esteban R, Aizpurua J, Bryant GW (2014) Strong coupling of single emitters interacting with phononic infrared antennae, New Journal of Physics 16 (1) 013052 https://doi.org/10.1088%2F1367-2630%2F16%2F1%2F013052
Zhang Y, Dong Z-C, Aizpurua J (2020) Influence of the chemical structure on molecular lightemission in strongly localized plasmonic fields. J Phys Chem C 124(8):4674–4683
Mortensen JJ, Hansen LB, Jacobsen KW (2005) Real-space grid implementation of the projector augmented wave method, Phys. Rev. B 71 035109 https://link.aps.org/doi/10.1103/PhysRevB.71.035109
Walter M, Hakkinen H, Lehtovaara L, Puska M, Enkovaara J, Rostgaard C, Mortensen JJ (2008) Time-dependent density-functional theory in the projector augmented-wavemethod. J Chem Phys 128(24):244101
Larsen AH, Mortensen JJ, Blomqvist J, Castelli IE, Christensen R, Dulak M, Friis J, Groves MN, Hammer B, Hargus C, Hermes ED, Jennings PC, Jensen PB, Kermode J, Kitchin JR, Kolsbjerg EL, Kubal J, Kaasbjerg K, Lysgaard S, Maronsson JB, Maxson T, Olsen T, Pastewka L, Peterson A, Rostgaard C, Schiotz J, Schutt O, Strange M, Thygesen KS, Vegge T, Vilhelmsen L, Walter M, Zeng Z, Jacobsen KW (2017) The atomic simulation environment-a python library for working with atoms, Journal of Physics: Condens Matter 29 (27) 273002 http://stacks.iop.org/0953-8984/29/i=27/a=273002
Kohn W, Sham LJ, (1965) Self-consistent equations including exchange and correlation effects, Phys. Rev. 140 A1133–A1138 https://link.aps.org/doi/10.1103/PhysRev.140.A1133
Perdew JP, Zunger A, (1981) Self-interaction correction to density-functional approximations for many-electron systems, Phys. Rev. B 23 5048–5079 https://link.aps.org/doi/10.1103/PhysRevB.23.5048
Casida ME, Jamorski C, Casida KC, Salahub DR (1998) Molecular excitation energies tohigh-lying bound states from time-dependent density-functional response theory: Characterizationand correction of the time-dependent local density approximation ionization threshold. J Chem Phys 108(11):4439–4449
Rossi TP, Zugarramurdi A, Puska MJ, Nieminen RM (2015) Quantized evolution of the plasmonic response in a stretched nanorod, Phys. Rev. Lett. 115 236804 https://link.aps.org/doi/10.1103/PhysRevLett.115.236804
Rossi TP, Kuisma M, Puska MJ, Nieminen RM, Erhart P (2017) Kohn-sham decomposition in real-time time-dependent density-functional theory: An efficient tool for analyzing plasmonic excitations, J Chem Theory Comput 13 (10) 4779-4790, pMID: 28862851
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The research reported in this publication was supported by funding from Kuwait College of Science And Technology (KCST).
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J. H. Mokkath contributed to conceptualization, data curation, formal analysis, writing—original draft, funding acquisition, project administration, resources, software, supervision, validation, writing—review, and editing.
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Mokkath, J.H. Electric Field Distribution of an Optical Nanocavity Embedded with a Single Molecule. Plasmonics 16, 1515–1524 (2021). https://doi.org/10.1007/s11468-021-01398-6
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DOI: https://doi.org/10.1007/s11468-021-01398-6