Metal-dielectric nanoantenna for radiation control of a single-photon emitter

Yali Sun; Vitaly Yaroshenko; Alexander Chebykin; Eduard Ageev; Sergey Makarov; Dmitry Zuev

doi:10.1364/OME.10.000029

Metal-dielectric nanoantenna for radiation control of a single-photon emitter

Yali Sun, Vitaly Yaroshenko, Alexander Chebykin, Eduard Ageev, Sergey Makarov, and Dmitry Zuev

Optical Materials Express
Vol. 10,
Issue 1,
pp. 29-35
(2020)
•https://doi.org/10.1364/OME.10.000029

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Yali Sun, Vitaly Yaroshenko, Alexander Chebykin, Eduard Ageev, Sergey Makarov, and Dmitry Zuev, "Metal-dielectric nanoantenna for radiation control of a single-photon emitter," Opt. Mater. Express 10, 29-35 (2020)

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Abstract

The control of fluorescent properties of single-photon sources in solid-state host systems via optically resonant nanostructures is a key issue in quantum nanophotonics. Here we propose a design of a resonant metal-dielectric nanoantenna for the Purcell factor and radiation pattern control of a quantum emitter placed in the gap between metal and dielectric components of the nanostructure. We demonstrate that large Purcell factor, considerable field enhancement in the gap as well as high directivity can be achieved. The developed nanosystem can be utilized for different solid-state host systems from nanocrystals to 2D materials.

1. Introduction

Development of nanoscale single-photon emitters (SPEs) operating on-demand is a challenging task in photonic quantum technologies. At present, a plenty of systems like color centers in diamond, 2D materials, quantum dots(QDs), etc. are considered as promising platforms for SPEs creation [1–3]. But for these systems the problems of efficient photons collection, control of emission lifetime (i.e. Purcell enhancement) as well as directivity still exist. A way to overcome these difficulties is integration of SPEs with resonant optical nanostructures [2,4].

Among of nanophotonic structures plasmonic ones attract high interest since in these nanosystems a high value of the Purcell factor(PF) can be achieved [5,6]. Moreover, the localization of the electromagnetic field on the surface leads to efficient coupling of a SPE placed near a plasmonic nanostructure [7,8]. But metallic structures have high losses which lead to decaying of the excitation and heating of the nanostructure. Despite losses can be decreased by utilization of complex fabrication methods (e.g. creation of mono-crystalline silver nanostructures [9]), the application of plasmonic nanosctructures for the SPEs control is limited.

On the other side, dielectric nanostructures have low losses and provide control of radiation directivity in a single resonant nanopaticle [10,11]. The opportunity to achieve emission enhancement through Purcell factor control in such nanoantennas is also demonstrated, but obtained PF values are lower compared to plasmonic nanostructures even in case if an emitter is placed inside of a dielectric nanostructure [12–14].

To combine remarkable optical properties of plasmonic and dielectric materials (low losses, high value of the PF, directivity control) the hybrid nanosystems comprised of metal and dielectric components have been proposed recently [15–18]. These nanostructures have attracted high attention induced by coupling of plasmonic and Mie resonance, or the unification of a resonant dielectric nanoparticle with plasmonic substrate. Thus, they exhibit extraordinary optical properties including broadband photoluminescence (PL) enhancement [17,18], optical switching [19], unidirectional scattering [20,21], near-field tuning [22,23] high-efficiency harmonic generation [24], enhancement of Raman scattering signal [25], etc.

In this paper, we propose a design of a resonant hybrid metal-dielecric nanostructure for the emission control of a single-photon emitter. We numerically investigate the PF enhancement, electromagnetic field distribution and opportunity for the spatial distribution of radiation control in this nanosystem.

2. Results and discussion

Figure 1 schematically shows the configuration of the proposed hybrid nanoantenna consisting of a gold sphere placed on the top of a crystalline silicon truncated cone, while a quantum source, varying from single atom layer to dozens of nanometers occupies the gap between the plasmonic sphere and dielectric cone. The hybrid metal-dielectric nanostructure is located on a glass substrate. As follows from the figure, different single-photon sources covering wide range from ultraviolet to infrared under the excitation of green laser (532 nm) can be coupled with this nanoantenna. Table 1 summarized the optical characteristics (conductor type, band gaps, zero-phonon-line wavelength (ZPL), second-order correlation function ($g^{(2)}(0$)) and operation temperature) of the promising solid-state single-photon emitters, laying a foundation of future studies of each system. Here $g^{(2)} (0)$ quantitatively yields the single-photon purity (multi-photon probability), $g^{(2)} (0)$ $<$ 0.5 indicates a single-photon emitter, while $g^{(2)} (0)$ $>$ 0.5 corresponds to the multiple photon emission.

Fig. 1. Schematic illustration of the proposed hybrid nanoantenna coupled with a quantum source. The different host medium (e.g. 2D material) are pumped by a green laser (532 nm) and emit single-photons of different wavelengths from ultraviolet to infrared. Left insets show the achieved high Purcell factor and radiation pattern at 518 nm when the dipole is directed horizontally.

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Table 1. Solid State single-photon emitters

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Integration of single-photon sources with nanoantennas could strongly modify the spontaneous emission, i.e. Purcell factor. The Purcell factor plays an important role in designing of the optical devices. Therefore optimizing the Purcell factor for the hybrid nanoantenna is of great importance.

To study the Purcell factor, radiation pattern and field enhancement the hybrid nanoantenna provides, numerical simulations are carried out by the CST Microwave Studio. The bottom diameter of the silicon cone is $D$ = 190 nm, which is twice that of the upper diameter. Besides, the upper diameter is identical to the diameter of sphere, i.e., $D$/2 = 95 nm. The size of monolayer 2D materials may only contain a few angstroms, such as hexagonal Boron Nitride (hBN) ($\sim$ 0.32 nm). Typical dimensions of carbon nanotube (CNT) and QDs are within the range of 10 nm. With regard to colour centers in diamond and compound semiconductors, the studied magnitude is approaching the vicinity of 50 nm. In addition, detonation nanodiamond with a diameter around 5 nm is also extensively investigated. On the other hand, perovskites possess complex composition and various dimensions. On the basis of this notion, the simulations are conducted at a range of 6 $\sim$ 45 nm. Quantum emitter has been simplified as a 5 nm discrete dipole with horizontal or vertical orientation, as the host media for the quantum source a nanodiamond has taken ($\epsilon = 2.4$). In our case, we calculated Purcell factor [43] according to:

(1)$$F = \frac{R_{in}}{R_{0, in}} \equiv\ \frac{Re Z_{in}}{Re Z_{0, in}}$$

where $R_{in}$ and $R_{0, in}$ represent the radiation impedances of the equivalent dipole in presence of the proposed hybrid nanoantenna and free space, respectively; Re $Z_{in}$ and Re $Z_{0, in}$ are the real parts of the corresponding input impedances of the nanodiamond with and without the presence of the hybrid nanoantenna, which can be exported from CST directly and thus depicted in Fig. 2.

Fig. 2. Purcell factor configuration (log-scale) of the hybrid nanoantenna coupled to quantum sources at the range of 6-45 nm for horizontal (a) and vertical (b) dipole orientation. The identical peaks at $\lambda$ = 637 nm and a broadband resonance centered at $\lambda$ = 518 nm are observed. Insets show the dipole orientation relative to the symmetry axis of the hybrid nanostructures. (c) average radiative Purcell factor for the resonance 518 and 637 nm. Radiative pattern for 518 nm (d-e) and 637 nm (f-g) for both dipole orientations.

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Figures 2a and 2b illustrate the log-scale Purcell factor pattern as a function of the operation wavelength and distance between the gold sphere and the silicon cone when the dipole is oriented horizontally and vertically to the symmetry axis of the hybrid nanoantenna, as indicated in the insets. Qualitatively speaking, the Purcell factor decays exponentially with the increase of the gap (0-45 nm) for both horizontal and vertical dipole orientations. Quantitatively speaking, the ultrahigh Purcell factor values are achieved, exceeding of 10$^{3.5}$ for horizontal orientation and 10$^{6.5}$ for vertical orientation. Besides, we have tuned the prominent resonance to the ZPL (637 nm) of negatively charged nitrogen-vacancy (NV$^{-}$) centers in diamond for both dipole orientations. This high-quality resonance can strongly enhance the photoluminescence(PL) of the NV-center in a nanodiamond. In fact, by adjusting the parameters of the spheres and cones, the resonance of the Purcell factor can be easily shifted to the ZPL of other single-photon source from the Table 1 in the visible range. In addition, the neighboring broadband resonance (500-550 nm) in Figs. 2(a)–2(b) is promising for highly strengthening the PL of hBN, QDs, colour centers in compound semiconductors as well as perovskites. It should be noted that as the thickness of 2D materials is relatively thin, essentially the discrete dipole could exclusively orientated horizontally [3]. Regarding NV center nanodiamond, it could be difficult to estimate the exact orientation. In this situation, the average Purcell factor are supposed to describe the modification of nanodiamonds’ decay rate, namely $F_{average} = 2/3 F_{hor} + 1/3 F_{ver}$. Therefore the average radiative Purcell factor at $\lambda = 518$ nm and $\lambda = 637$ nm is calculated and depicted in Fig. 2(c).

Except for the Purcell factor control, radiation directivity is another key element for single-photon emission. Thus the radiation pattern for different dipole orientations at $\lambda = 518$ nm and $\lambda = 637$ nm are presented in Figs. 2(d)–2(g). As it can be seen from Fig. 2(d), the center of the broadband resonance (518 nm) in Fig. 2(a) approximately radiates unidirectionally when the dipole orientated horizontally. This guarantees the maximum signal could be detected and utilized along the symmetric axis of the hybrid nanoantenna. The broadband Purcell factor achieved above alongside with high directivity make the proposed hybrid nanostructure promising for effective control of the single-photon emission and other applications.

Apart from Purcell factor and radiation directivity, electric field confinement also plays an important role in single-photon emission enhancement. Fig. 3(a) represents the electric near-field enhancement (E$\_$enhancement) achieved at the center of the gap between the metal sphere and the dielectric cone as a function of the gap width for the arrangement of the probe shown in the inset at the operation wavelength of 637 nm. Note that the calculations for $\lambda$ = 518 nm are omitted since obtained in this case spectra are almost overlapped the spectra for $\lambda$ = 637 nm. The hybrid nanoantenna is illuminated with TE/TM-polarized electromagnetic waves along the negative z-axis (i.e. the symmetry axis of the hybrid nanoantenna) under oblique incidence of 68 degrees. The E$\_$enhancement monotonically decreases starting from the gap size of 19 nm for the TM polarization and remains extremely low for the TE polarization. This can be explained by the corresponding near-field distribution patterns taking the dipole length $l$ equals to 10 nm. As indicated in Fig. 3c, the plasmonic resonance is excited in the case of the electric vector oscillates in the incident plane (TM polarization), and thus the electric energy has been localized in the gap. In the same time, a magnetic resonance is also observed inside the silicon cone. This high E$\_$enhancement makes the hybrid nanoantenna promising for effective pumping of a single-photon emitter as well as for field-enhanced spectroscopy. Additionally, we notice the occurrence of a magnetic quadrupole resonance under the excitation of the TE polarization, observing at the wavelength of $\lambda$ = 518 nm.

Fig. 3. (a) Dependence of the electric field enhancement as a function of the gap width as $\lambda$ = 637 nm for TE/TM polarization. Electric and magnetic near-field patterns calculated for TE (b) and TM (c) polarization distributed at $\lambda$ = 637 nm and $\lambda$ = 518 nm. The gap equals to 10 nm.

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Metallic nanostructures normally contribute to high Purcell factor and field enhancement due to their ability to confine the electric field [44]. On the other hand, typical plasmonic nanostructures, such as spheres and disks, only exhibit electric resonances, leading to the difficulty to control the radiation direction. Conversely, all-dielectric nanostructures show their advantage for directivity manipulation via coupling magnetic and plasmonic modes [10,45]. As a result, hybrid metal/dielectric nanosystems combine the unique properties of both materials and present high directivity, Purcell factor as well as field enhancement simultaneously [16,46]. Table 2 summarized the above performance of existing all-dielectric, metallic and hybrid nanoresonators and systems and compared with the proposed scheme calculated at gap = 6 nm.

Table 2. Comparison of various dielectric and metallic nanosystems performance

View Table | View all tables in this article

3. Conclusion

We have proposed a hybrid metal-dielectric nanoantenna coupled with a single-photon quantum emitter in a host media. This kind of hybrid nanostructures can be easily fabricated by combination of nanolithography and “Pick-and-place” technique. Three main factors: Purcell factor, directivity and field confinement to control single-photon emission are studied. Ultrahigh Purcell factor values($\sim 10^{3.5}$ for horizontal and $\sim 10^{6.5}$ for vertical dipole orientation) are achieved. Besides, simulations demonstrate the high electric energy localization between the metal sphere and dielectric cone at the Purcell factor resonances (518 nm and 637 nm) under TM-polarized excitation. Indeed, the corresponding near-field patterns show the simultaneously observed electric and magnetic resonances, especially the magnetic quadrupole resonance at 518 nm. We believe that proposed hybrid platform unified with single-photon systems will enable effective radiation control, high-efficient PL and can be applied for quantum optical chips as well as field-enhanced spectroscopy.

Funding

Ministry of Education and Science of the Russian Federation (19-19-00691).

Acknowledgments

The studies of the Purcell factor enhancement, radiation pattern and electric field enhancement were supported by the Russian Scientific Foundation (Project 19-19-00691). The electric and magnetic near-field patterns were calculated with the support of the Ministry of Education and Science of the Russian Federation (Project 14.Y26.31.0010).

Disclosures

The authors declare no conflicts of interest.

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References

View by:
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|
Year
|
Author
|
Publication

Y. Zhou, Z. Wang, A. Rasmita, S. Kim, A. Berhane, Z. Bodrog, G. Adamo, A. Gali, I. Aharonovich, and W.-b. Gao, “Room temperature solid-state quantum emitters in the telecom range,” Sci. Adv. 4(3), eaar3580 (2018).
[Crossref]
I. Aharonovich, D. Englund, and M. Toth, “Solid-state single-photon emitters,” Nat. Photonics 10(10), 631–641 (2016).
[Crossref]
M. Toth and I. Aharonovich, “Single photon sources in atomically thin materials,” Annu. Rev. Phys. Chem. 70(1), 123–142 (2019).
[Crossref]
M. Atatüre, D. Englund, N. Vamivakas, S.-Y. Lee, and J. Wrachtrup, “Material platforms for spin-based photonic quantum technologies,” Nat. Rev. Mater. 3(5), 38–51 (2018).
[Crossref]
T. B. Hoang, G. M. Akselrod, and M. H. Mikkelsen, “Ultrafast room-temperature single photon emission from quantum dots coupled to plasmonic nanocavities,” Nano Lett. 16(1), 270–275 (2016).
[Crossref]
A. F. Koenderink, “Single-photon nanoantennas,” ACS Photonics 4(4), 710–722 (2017).
[Crossref]
M. S. Tame, K. McEnery, S. Ozdemir, J. Lee, S. Maier, and M. Kim, “Quantum plasmonics,” Nat. Phys. 9(6), 329–340 (2013).
[Crossref]
S. I. Bozhevolnyi, L. Martin-Moreno, and F. Garcia-Vidal, Quantum plasmonics (Springer, 2017).
S. I. Bogdanov, M. Y. Shalaginov, A. S. Lagutchev, C.-C. Chiang, D. Shah, A. S. Baburin, I. A. Ryzhikov, I. A. Rodionov, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Ultrabright room-temperature sub-nanosecond emission from single nitrogen-vacancy centers coupled to nanopatch antennas,” Nano Lett. 18(8), 4837–4844 (2018).
[Crossref]
A. E. Krasnok, C. R. Simovski, P. A. Belov, and Y. S. Kivshar, “Superdirective dielectric nanoantennas,” Nanoscale 6(13), 7354–7361 (2014).
[Crossref]
A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Lukýanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), aag2472 (2016).
[Crossref]
D. A. Shilkin, M. R. Shcherbakov, E. V. Lyubin, K. G. Katamadze, O. S. Kudryavtsev, V. S. Sedov, I. I. Vlasov, and A. A. Fedyanin, “Optical magnetism and fundamental modes of nanodiamonds,” ACS Photonics 4(5), 1153–1158 (2017).
[Crossref]
A. Zalogina, R. Savelev, E. Ushakova, G. Zograf, F. Komissarenko, V. Milichko, S. Makarov, D. Zuev, and I. Shadrivov, “Purcell effect in active diamond nanoantennas,” Nanoscale 10(18), 8721–8727 (2018).
[Crossref]
V. Rutckaia, F. Heyroth, A. Novikov, M. Shaleev, M. Petrov, and J. Schilling, “Quantum dot emission driven by mie resonances in silicon nanostructures,” Nano Lett. 17(11), 6886–6892 (2017).
[Crossref]
S. I. Lepeshov, A. E. Krasnok, P. A. Belov, and A. E. Miroshnichenko, “Hybrid nanophotonics,” Phys.-Usp. 61(11), 1035–1050 (2018).
[Crossref]
H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto–electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref]
H. Sugimoto and M. Fujii, “Broadband dielectric–metal hybrid nanoantenna: Silicon nanoparticle on a mirror,” ACS Photonics 5(5), 1986–1993 (2018).
[Crossref]
S. Sun, T. Zhang, Q. Liu, L. Ma, Q. Du, and H. Duan, “Enhanced directional fluorescence emission of randomly oriented emitters via a metal–dielectric hybrid nanoantenna,” J. Phys. Chem. C 123(34), 21150–21160 (2019).
[Crossref]
G. Grinblat, R. Berté, M. P. Nielsen, Y. Li, R. F. Oulton, and S. A. Maier, “Sub-20 fs all-optical switching in a single au-clad si nanodisk,” Nano Lett. 18(12), 7896–7900 (2018).
[Crossref]
W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband unidirectional scattering by magneto-electric core–shell nanoparticles,” ACS Nano 6(6), 5489–5497 (2012).
[Crossref]
E. Rusak, I. Staude, M. Decker, J. Sautter, A. E. Miroshnichenko, D. A. Powell, D. N. Neshev, and Y. S. Kivshar, “Hybrid nanoantennas for directional emission enhancement,” Appl. Phys. Lett. 105(22), 221109 (2014).
[Crossref]
Y. Sun, S. Kolodny, S. Lepeshov, D. Zuev, L. Huang, P. Belov, and A. Krasnok, “Approach for fine-tuning of hybrid dimer antennas via laser melting at the nanoscale,” Ann. Phys. 529(3), 1600272 (2017).
[Crossref]
Y. Sun, I. Sinev, A. Zalogina, E. Ageev, H. Shamkhi, F. Komissarenko, I. Morozov, S. Lepeshov, V. Milichko, S. Makarov, I. Mukhin, and D. Zuev, “Reconfigurable near-field enhancement with hybrid metal-dielectric oligomers,” Laser Photonics Rev. 13(2), 1800274 (2019).
[Crossref]
T. Shibanuma, G. Grinblat, P. Albella, and S. A. Maier, “Efficient third harmonic generation from metal–dielectric hybrid nanoantennas,” Nano Lett. 17(4), 2647–2651 (2017).
[Crossref]
Z. Huang, J. Wang, Z. Liu, G. Xu, Y. Fan, H. Zhong, B. Cao, C. Wang, and K. Xu, “Strong-field-enhanced spectroscopy in silicon nanoparticle electric and magnetic dipole resonance near a metal surface,” J. Phys. Chem. C 119(50), 28127–28135 (2015).
[Crossref]
G. Grosso, H. Moon, B. Lienhard, S. Ali, D. K. Efetov, M. M. Furchi, P. Jarillo-Herrero, M. J. Ford, I. Aharonovich, and D. Englund, “Tunable and high-purity room temperature single-photon emission from atomic defects in hexagonal boron nitride,” Nat. Commun. 8(1), 705 (2017).
[Crossref]
Z.-Q. Xu, C. Elbadawi, T. T. Tran, M. Kianinia, X. Li, D. Liu, T. B. Hoffman, M. Nguyen, S. Kim, J. H. Edgar, X. Wu, S. Li, S. Ali, M. Ford, M. Toth, and I. Aharonovich, “Single photon emission from plasma treated 2d hexagonal boron nitride,” Nanoscale 10(17), 7957–7965 (2018).
[Crossref]
Y.-M. He, G. Clark, J. R. Schaibley, Y. He, M.-C. Chen, Y.-J. Wei, X. Ding, Q. Zhang, W. Yao, C.-Y. Xu, X. Lu, and J.-W. Pan, “Single quantum emitters in monolayer semiconductors,” Nat. Nanotechnol. 10, 497–502 (2015).
[Crossref]
Y. Ye, X. Dou, K. Ding, Y. Chen, D. Jiang, F. Yang, and B. Sun, “Single photon emission from deep-level defects in monolayer ws e 2,” Phys. Rev. B 95(24), 245313 (2017).
[Crossref]
S. Zhao, J. Lavie, L. Rondin, L. Orcin-Chaix, C. Diederichs, P. Roussignol, Y. Chassagneux, C. Voisin, K. Müllen, A. Narita, S. Campidelli, and J. Lauret, “Single photon emission from graphene quantum dots at room temperature,” Nat. Commun. 9(1), 3470 (2018).
[Crossref]
M. Gullans, D. Chang, F. Koppens, F. G. de Abajo, and M. D. Lukin, “Single-photon nonlinear optics with graphene plasmons,” Phys. Rev. Lett. 111(24), 247401 (2013).
[Crossref]
X. He, H. Htoon, S. K. Doorn, W. H. Pernice, F. Pyatkov, R. Krupke, A. Jeantet, Y. Chassagneux, and C. Voisin, “Carbon nanotubes as emerging quantum-light sources,” Nat. Mater. 17(8), 663–670 (2018).
[Crossref]
A. Ishii, X. He, N. F. Hartmann, H. Machiya, H. Htoon, S. K. Doorn, and Y. K. Kato, “Enhanced single-photon emission from carbon-nanotube dopant states coupled to silicon microcavities,” Nano Lett. 18(6), 3873–3878 (2018).
[Crossref]
T. B. Hoang, G. M. Akselrod, and M. H. Mikkelsen, “Ultrafast room-temperature single photon emission from quantum dots coupled to plasmonic nanocavities,” Nano Lett. 16(1), 270–275 (2016).
[Crossref]
M. J. Holmes, M. Arita, and Y. Arakawa, “Iii-nitride quantum dots as single photon emitters,” Semicond. Sci. Technol. 34(3), 033001 (2019).
[Crossref]
A. Sipahigil, R. E. Evans, D. D. Sukachev, M. J. Burek, J. Borregaard, M. K. Bhaskar, C. T. Nguyen, J. L. Pacheco, H. A. Atikian, C. Meuwly, R. Camacho, F. Jelezko, E. Bielejec, H. Park, M. Loncar, and M. Lukin, “An integrated diamond nanophotonics platform for quantum optical networks,” Science 354(6314), 847–850 (2016).
[Crossref]
S. Castelletto, B. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13(2), 151–156 (2014).
[Crossref]
R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3(1), 1029 (2012).
[Crossref]
R. Piramidowicz, K. Ławniczuk, M. Nakielska, J. Sarnecki, and M. Malinowski, “Uv emission properties of highly pr3+-doped yag epitaxial waveguides,” J. Lumin. 128(5-6), 708–711 (2008).
[Crossref]
A. J. Morfa, B. C. Gibson, M. Karg, T. J. Karle, A. D. Greentree, P. Mulvaney, and S. Tomljenovic-Hanic, “Single-photon emission and quantum characterization of zinc oxide defects,” Nano Lett. 12(2), 949–954 (2012).
[Crossref]
H. Utzat, W. Sun, A. E. Kaplan, F. Krieg, M. Ginterseder, B. Spokoyny, N. D. Klein, K. E. Shulenberger, C. F. Perkinson, M. V. Kovalenko, and M. G. Bawendi, “Coherent single-photon emission from colloidal lead halide perovskite quantum dots,” Science 363(6431), 1068–1072 (2019).
[Crossref]
Y.-S. Park, S. Guo, N. S. Makarov, and V. I. Klimov, “Room temperature single-photon emission from individual perovskite quantum dots,” ACS Nano 9(10), 10386–10393 (2015).
[Crossref]
A. E. Krasnok, A. P. Slobozhanyuk, C. R. Simovski, S. A. Tretyakov, A. N. Poddubny, A. E. Miroshnichenko, Y. S. Kivshar, and P. A. Belov, “An antenna model for the purcell effect,” Sci. Rep. 5(1), 12956 (2015).
[Crossref]
R. Chikkaraddy, B. De Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref]
A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Y. S. Kivshar, “All-dielectric optical nanoantennas,” Opt. Express 20(18), 20599–20604 (2012).
[Crossref]
J. Ho, Y. H. Fu, Z. Dong, R. Paniagua-Dominguez, E. H. Koay, Y. F. Yu, V. Valuckas, A. I. Kuznetsov, and J. K. Yang, “Highly directive hybrid metal–dielectric yagi-uda nanoantennas,” ACS Nano 12(8), 8616–8624 (2018).
[Crossref]

2019 (5)

M. Toth and I. Aharonovich, “Single photon sources in atomically thin materials,” Annu. Rev. Phys. Chem. 70(1), 123–142 (2019).
[Crossref]

S. Sun, T. Zhang, Q. Liu, L. Ma, Q. Du, and H. Duan, “Enhanced directional fluorescence emission of randomly oriented emitters via a metal–dielectric hybrid nanoantenna,” J. Phys. Chem. C 123(34), 21150–21160 (2019).
[Crossref]

Y. Sun, I. Sinev, A. Zalogina, E. Ageev, H. Shamkhi, F. Komissarenko, I. Morozov, S. Lepeshov, V. Milichko, S. Makarov, I. Mukhin, and D. Zuev, “Reconfigurable near-field enhancement with hybrid metal-dielectric oligomers,” Laser Photonics Rev. 13(2), 1800274 (2019).
[Crossref]

M. J. Holmes, M. Arita, and Y. Arakawa, “Iii-nitride quantum dots as single photon emitters,” Semicond. Sci. Technol. 34(3), 033001 (2019).
[Crossref]

H. Utzat, W. Sun, A. E. Kaplan, F. Krieg, M. Ginterseder, B. Spokoyny, N. D. Klein, K. E. Shulenberger, C. F. Perkinson, M. V. Kovalenko, and M. G. Bawendi, “Coherent single-photon emission from colloidal lead halide perovskite quantum dots,” Science 363(6431), 1068–1072 (2019).
[Crossref]

2018 (12)

J. Ho, Y. H. Fu, Z. Dong, R. Paniagua-Dominguez, E. H. Koay, Y. F. Yu, V. Valuckas, A. I. Kuznetsov, and J. K. Yang, “Highly directive hybrid metal–dielectric yagi-uda nanoantennas,” ACS Nano 12(8), 8616–8624 (2018).
[Crossref]

S. Zhao, J. Lavie, L. Rondin, L. Orcin-Chaix, C. Diederichs, P. Roussignol, Y. Chassagneux, C. Voisin, K. Müllen, A. Narita, S. Campidelli, and J. Lauret, “Single photon emission from graphene quantum dots at room temperature,” Nat. Commun. 9(1), 3470 (2018).
[Crossref]

X. He, H. Htoon, S. K. Doorn, W. H. Pernice, F. Pyatkov, R. Krupke, A. Jeantet, Y. Chassagneux, and C. Voisin, “Carbon nanotubes as emerging quantum-light sources,” Nat. Mater. 17(8), 663–670 (2018).
[Crossref]

A. Ishii, X. He, N. F. Hartmann, H. Machiya, H. Htoon, S. K. Doorn, and Y. K. Kato, “Enhanced single-photon emission from carbon-nanotube dopant states coupled to silicon microcavities,” Nano Lett. 18(6), 3873–3878 (2018).
[Crossref]

H. Sugimoto and M. Fujii, “Broadband dielectric–metal hybrid nanoantenna: Silicon nanoparticle on a mirror,” ACS Photonics 5(5), 1986–1993 (2018).
[Crossref]

Z.-Q. Xu, C. Elbadawi, T. T. Tran, M. Kianinia, X. Li, D. Liu, T. B. Hoffman, M. Nguyen, S. Kim, J. H. Edgar, X. Wu, S. Li, S. Ali, M. Ford, M. Toth, and I. Aharonovich, “Single photon emission from plasma treated 2d hexagonal boron nitride,” Nanoscale 10(17), 7957–7965 (2018).
[Crossref]

G. Grinblat, R. Berté, M. P. Nielsen, Y. Li, R. F. Oulton, and S. A. Maier, “Sub-20 fs all-optical switching in a single au-clad si nanodisk,” Nano Lett. 18(12), 7896–7900 (2018).
[Crossref]

S. I. Lepeshov, A. E. Krasnok, P. A. Belov, and A. E. Miroshnichenko, “Hybrid nanophotonics,” Phys.-Usp. 61(11), 1035–1050 (2018).
[Crossref]

A. Zalogina, R. Savelev, E. Ushakova, G. Zograf, F. Komissarenko, V. Milichko, S. Makarov, D. Zuev, and I. Shadrivov, “Purcell effect in active diamond nanoantennas,” Nanoscale 10(18), 8721–8727 (2018).
[Crossref]

M. Atatüre, D. Englund, N. Vamivakas, S.-Y. Lee, and J. Wrachtrup, “Material platforms for spin-based photonic quantum technologies,” Nat. Rev. Mater. 3(5), 38–51 (2018).
[Crossref]

Y. Zhou, Z. Wang, A. Rasmita, S. Kim, A. Berhane, Z. Bodrog, G. Adamo, A. Gali, I. Aharonovich, and W.-b. Gao, “Room temperature solid-state quantum emitters in the telecom range,” Sci. Adv. 4(3), eaar3580 (2018).
[Crossref]

S. I. Bogdanov, M. Y. Shalaginov, A. S. Lagutchev, C.-C. Chiang, D. Shah, A. S. Baburin, I. A. Ryzhikov, I. A. Rodionov, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Ultrabright room-temperature sub-nanosecond emission from single nitrogen-vacancy centers coupled to nanopatch antennas,” Nano Lett. 18(8), 4837–4844 (2018).
[Crossref]

2017 (7)

A. F. Koenderink, “Single-photon nanoantennas,” ACS Photonics 4(4), 710–722 (2017).
[Crossref]

V. Rutckaia, F. Heyroth, A. Novikov, M. Shaleev, M. Petrov, and J. Schilling, “Quantum dot emission driven by mie resonances in silicon nanostructures,” Nano Lett. 17(11), 6886–6892 (2017).
[Crossref]

D. A. Shilkin, M. R. Shcherbakov, E. V. Lyubin, K. G. Katamadze, O. S. Kudryavtsev, V. S. Sedov, I. I. Vlasov, and A. A. Fedyanin, “Optical magnetism and fundamental modes of nanodiamonds,” ACS Photonics 4(5), 1153–1158 (2017).
[Crossref]

Y. Sun, S. Kolodny, S. Lepeshov, D. Zuev, L. Huang, P. Belov, and A. Krasnok, “Approach for fine-tuning of hybrid dimer antennas via laser melting at the nanoscale,” Ann. Phys. 529(3), 1600272 (2017).
[Crossref]

G. Grosso, H. Moon, B. Lienhard, S. Ali, D. K. Efetov, M. M. Furchi, P. Jarillo-Herrero, M. J. Ford, I. Aharonovich, and D. Englund, “Tunable and high-purity room temperature single-photon emission from atomic defects in hexagonal boron nitride,” Nat. Commun. 8(1), 705 (2017).
[Crossref]

T. Shibanuma, G. Grinblat, P. Albella, and S. A. Maier, “Efficient third harmonic generation from metal–dielectric hybrid nanoantennas,” Nano Lett. 17(4), 2647–2651 (2017).
[Crossref]

Y. Ye, X. Dou, K. Ding, Y. Chen, D. Jiang, F. Yang, and B. Sun, “Single photon emission from deep-level defects in monolayer ws e 2,” Phys. Rev. B 95(24), 245313 (2017).
[Crossref]

2016 (6)

R. Chikkaraddy, B. De Nijs, F. Benz, S. J. Barrow, O. A. Scherman, E. Rosta, A. Demetriadou, P. Fox, O. Hess, and J. J. Baumberg, “Single-molecule strong coupling at room temperature in plasmonic nanocavities,” Nature 535(7610), 127–130 (2016).
[Crossref]

T. B. Hoang, G. M. Akselrod, and M. H. Mikkelsen, “Ultrafast room-temperature single photon emission from quantum dots coupled to plasmonic nanocavities,” Nano Lett. 16(1), 270–275 (2016).
[Crossref]

A. Sipahigil, R. E. Evans, D. D. Sukachev, M. J. Burek, J. Borregaard, M. K. Bhaskar, C. T. Nguyen, J. L. Pacheco, H. A. Atikian, C. Meuwly, R. Camacho, F. Jelezko, E. Bielejec, H. Park, M. Loncar, and M. Lukin, “An integrated diamond nanophotonics platform for quantum optical networks,” Science 354(6314), 847–850 (2016).
[Crossref]

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Lukýanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), aag2472 (2016).
[Crossref]

I. Aharonovich, D. Englund, and M. Toth, “Solid-state single-photon emitters,” Nat. Photonics 10(10), 631–641 (2016).
[Crossref]

2015 (5)

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto–electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref]

Z. Huang, J. Wang, Z. Liu, G. Xu, Y. Fan, H. Zhong, B. Cao, C. Wang, and K. Xu, “Strong-field-enhanced spectroscopy in silicon nanoparticle electric and magnetic dipole resonance near a metal surface,” J. Phys. Chem. C 119(50), 28127–28135 (2015).
[Crossref]

Y.-M. He, G. Clark, J. R. Schaibley, Y. He, M.-C. Chen, Y.-J. Wei, X. Ding, Q. Zhang, W. Yao, C.-Y. Xu, X. Lu, and J.-W. Pan, “Single quantum emitters in monolayer semiconductors,” Nat. Nanotechnol. 10, 497–502 (2015).
[Crossref]

Y.-S. Park, S. Guo, N. S. Makarov, and V. I. Klimov, “Room temperature single-photon emission from individual perovskite quantum dots,” ACS Nano 9(10), 10386–10393 (2015).
[Crossref]

A. E. Krasnok, A. P. Slobozhanyuk, C. R. Simovski, S. A. Tretyakov, A. N. Poddubny, A. E. Miroshnichenko, Y. S. Kivshar, and P. A. Belov, “An antenna model for the purcell effect,” Sci. Rep. 5(1), 12956 (2015).
[Crossref]

2014 (3)

E. Rusak, I. Staude, M. Decker, J. Sautter, A. E. Miroshnichenko, D. A. Powell, D. N. Neshev, and Y. S. Kivshar, “Hybrid nanoantennas for directional emission enhancement,” Appl. Phys. Lett. 105(22), 221109 (2014).
[Crossref]

S. Castelletto, B. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13(2), 151–156 (2014).
[Crossref]

A. E. Krasnok, C. R. Simovski, P. A. Belov, and Y. S. Kivshar, “Superdirective dielectric nanoantennas,” Nanoscale 6(13), 7354–7361 (2014).
[Crossref]

2013 (2)

M. S. Tame, K. McEnery, S. Ozdemir, J. Lee, S. Maier, and M. Kim, “Quantum plasmonics,” Nat. Phys. 9(6), 329–340 (2013).
[Crossref]

M. Gullans, D. Chang, F. Koppens, F. G. de Abajo, and M. D. Lukin, “Single-photon nonlinear optics with graphene plasmons,” Phys. Rev. Lett. 111(24), 247401 (2013).
[Crossref]

2012 (4)

R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3(1), 1029 (2012).
[Crossref]

W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband unidirectional scattering by magneto-electric core–shell nanoparticles,” ACS Nano 6(6), 5489–5497 (2012).
[Crossref]

A. J. Morfa, B. C. Gibson, M. Karg, T. J. Karle, A. D. Greentree, P. Mulvaney, and S. Tomljenovic-Hanic, “Single-photon emission and quantum characterization of zinc oxide defects,” Nano Lett. 12(2), 949–954 (2012).
[Crossref]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Y. S. Kivshar, “All-dielectric optical nanoantennas,” Opt. Express 20(18), 20599–20604 (2012).
[Crossref]

2008 (1)

R. Piramidowicz, K. Ławniczuk, M. Nakielska, J. Sarnecki, and M. Malinowski, “Uv emission properties of highly pr3+-doped yag epitaxial waveguides,” J. Lumin. 128(5-6), 708–711 (2008).
[Crossref]

Adamo, G.

Ageev, E.

Aharonovich, I.

M. Toth and I. Aharonovich, “Single photon sources in atomically thin materials,” Annu. Rev. Phys. Chem. 70(1), 123–142 (2019).
[Crossref]

I. Aharonovich, D. Englund, and M. Toth, “Solid-state single-photon emitters,” Nat. Photonics 10(10), 631–641 (2016).
[Crossref]

Akselrod, G. M.

Albella, P.

T. Shibanuma, G. Grinblat, P. Albella, and S. A. Maier, “Efficient third harmonic generation from metal–dielectric hybrid nanoantennas,” Nano Lett. 17(4), 2647–2651 (2017).
[Crossref]

Ali, S.

Arakawa, Y.

M. J. Holmes, M. Arita, and Y. Arakawa, “Iii-nitride quantum dots as single photon emitters,” Semicond. Sci. Technol. 34(3), 033001 (2019).
[Crossref]

Arita, M.

M. J. Holmes, M. Arita, and Y. Arakawa, “Iii-nitride quantum dots as single photon emitters,” Semicond. Sci. Technol. 34(3), 033001 (2019).
[Crossref]

Atatüre, M.

M. Atatüre, D. Englund, N. Vamivakas, S.-Y. Lee, and J. Wrachtrup, “Material platforms for spin-based photonic quantum technologies,” Nat. Rev. Mater. 3(5), 38–51 (2018).
[Crossref]

Atikian, H. A.

Baburin, A. S.

Barrow, S. J.

Baumberg, J. J.

Bawendi, M. G.

Belov, P.

Belov, P. A.

S. I. Lepeshov, A. E. Krasnok, P. A. Belov, and A. E. Miroshnichenko, “Hybrid nanophotonics,” Phys.-Usp. 61(11), 1035–1050 (2018).
[Crossref]

A. E. Krasnok, C. R. Simovski, P. A. Belov, and Y. S. Kivshar, “Superdirective dielectric nanoantennas,” Nanoscale 6(13), 7354–7361 (2014).
[Crossref]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Y. S. Kivshar, “All-dielectric optical nanoantennas,” Opt. Express 20(18), 20599–20604 (2012).
[Crossref]

Benz, F.

Berhane, A.

Berté, R.

G. Grinblat, R. Berté, M. P. Nielsen, Y. Li, R. F. Oulton, and S. A. Maier, “Sub-20 fs all-optical switching in a single au-clad si nanodisk,” Nano Lett. 18(12), 7896–7900 (2018).
[Crossref]

Bhaskar, M. K.

Bielejec, E.

Bodrog, Z.

Bogdanov, S. I.

Boltasseva, A.

Borregaard, J.

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, L. Martin-Moreno, and F. Garcia-Vidal, Quantum plasmonics (Springer, 2017).

Brongersma, M. L.

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Lukýanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), aag2472 (2016).
[Crossref]

Burek, M. J.

Camacho, R.

Campidelli, S.

Cao, B.

Castelletto, S.

S. Castelletto, B. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13(2), 151–156 (2014).
[Crossref]

Chang, D.

M. Gullans, D. Chang, F. Koppens, F. G. de Abajo, and M. D. Lukin, “Single-photon nonlinear optics with graphene plasmons,” Phys. Rev. Lett. 111(24), 247401 (2013).
[Crossref]

Chassagneux, Y.

Chen, H.

Chen, M.-C.

Chen, Y.

Y. Ye, X. Dou, K. Ding, Y. Chen, D. Jiang, F. Yang, and B. Sun, “Single photon emission from deep-level defects in monolayer ws e 2,” Phys. Rev. B 95(24), 245313 (2017).
[Crossref]

Chiang, C.-C.

Chikkaraddy, R.

Clark, G.

de Abajo, F. G.

M. Gullans, D. Chang, F. Koppens, F. G. de Abajo, and M. D. Lukin, “Single-photon nonlinear optics with graphene plasmons,” Phys. Rev. Lett. 111(24), 247401 (2013).
[Crossref]

De Nijs, B.

Decker, M.

Demetriadou, A.

Deng, S.

Diederichs, C.

Ding, K.

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W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband unidirectional scattering by magneto-electric core–shell nanoparticles,” ACS Nano 6(6), 5489–5497 (2012).
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A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Y. S. Kivshar, “All-dielectric optical nanoantennas,” Opt. Express 20(18), 20599–20604 (2012).
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ACS Nano (4)

W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband unidirectional scattering by magneto-electric core–shell nanoparticles,” ACS Nano 6(6), 5489–5497 (2012).
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Y.-S. Park, S. Guo, N. S. Makarov, and V. I. Klimov, “Room temperature single-photon emission from individual perovskite quantum dots,” ACS Nano 9(10), 10386–10393 (2015).
[Crossref]

ACS Photonics (3)

H. Sugimoto and M. Fujii, “Broadband dielectric–metal hybrid nanoantenna: Silicon nanoparticle on a mirror,” ACS Photonics 5(5), 1986–1993 (2018).
[Crossref]

A. F. Koenderink, “Single-photon nanoantennas,” ACS Photonics 4(4), 710–722 (2017).
[Crossref]

Ann. Phys. (1)

Annu. Rev. Phys. Chem. (1)

M. Toth and I. Aharonovich, “Single photon sources in atomically thin materials,” Annu. Rev. Phys. Chem. 70(1), 123–142 (2019).
[Crossref]

Appl. Phys. Lett. (1)

J. Lumin. (1)

J. Phys. Chem. C (2)

Laser Photonics Rev. (1)

Nano Lett. (8)

T. Shibanuma, G. Grinblat, P. Albella, and S. A. Maier, “Efficient third harmonic generation from metal–dielectric hybrid nanoantennas,” Nano Lett. 17(4), 2647–2651 (2017).
[Crossref]

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[Crossref]

Nanoscale (3)

A. E. Krasnok, C. R. Simovski, P. A. Belov, and Y. S. Kivshar, “Superdirective dielectric nanoantennas,” Nanoscale 6(13), 7354–7361 (2014).
[Crossref]

Nat. Commun. (3)

R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3(1), 1029 (2012).
[Crossref]

Nat. Mater. (2)

S. Castelletto, B. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13(2), 151–156 (2014).
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Nat. Nanotechnol. (1)

Nat. Photonics (1)

I. Aharonovich, D. Englund, and M. Toth, “Solid-state single-photon emitters,” Nat. Photonics 10(10), 631–641 (2016).
[Crossref]

Nat. Phys. (1)

M. S. Tame, K. McEnery, S. Ozdemir, J. Lee, S. Maier, and M. Kim, “Quantum plasmonics,” Nat. Phys. 9(6), 329–340 (2013).
[Crossref]

Nat. Rev. Mater. (1)

M. Atatüre, D. Englund, N. Vamivakas, S.-Y. Lee, and J. Wrachtrup, “Material platforms for spin-based photonic quantum technologies,” Nat. Rev. Mater. 3(5), 38–51 (2018).
[Crossref]

Nature (1)

Opt. Express (1)

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Y. S. Kivshar, “All-dielectric optical nanoantennas,” Opt. Express 20(18), 20599–20604 (2012).
[Crossref]

Phys. Rev. B (1)

Y. Ye, X. Dou, K. Ding, Y. Chen, D. Jiang, F. Yang, and B. Sun, “Single photon emission from deep-level defects in monolayer ws e 2,” Phys. Rev. B 95(24), 245313 (2017).
[Crossref]

Phys. Rev. Lett. (1)

M. Gullans, D. Chang, F. Koppens, F. G. de Abajo, and M. D. Lukin, “Single-photon nonlinear optics with graphene plasmons,” Phys. Rev. Lett. 111(24), 247401 (2013).
[Crossref]

Phys.-Usp. (1)

S. I. Lepeshov, A. E. Krasnok, P. A. Belov, and A. E. Miroshnichenko, “Hybrid nanophotonics,” Phys.-Usp. 61(11), 1035–1050 (2018).
[Crossref]

Sci. Adv. (1)

Sci. Rep. (1)

Science (3)

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Lukýanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), aag2472 (2016).
[Crossref]

Semicond. Sci. Technol. (1)

M. J. Holmes, M. Arita, and Y. Arakawa, “Iii-nitride quantum dots as single photon emitters,” Semicond. Sci. Technol. 34(3), 033001 (2019).
[Crossref]

Other (1)

S. I. Bozhevolnyi, L. Martin-Moreno, and F. Garcia-Vidal, Quantum plasmonics (Springer, 2017).

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$\lambda$

= 637 nm and a broadband resonance centered at

$\lambda$

= 518 nm are observed. Insets show the dipole orientation relative to the symmetry axis of the hybrid nanostructures. (c) average radiative Purcell factor for the resonance 518 and 637 nm. Radiative pattern for 518 nm (d-e) and 637 nm (f-g) for both dipole orientations.

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Fig. 3. (a) Dependence of the electric field enhancement as a function of the gap width as

$\lambda$

= 637 nm for TE/TM polarization. Electric and magnetic near-field patterns calculated for TE (b) and TM (c) polarization distributed at

$\lambda$

= 637 nm and

$\lambda$

= 518 nm. The gap equals to 10 nm.

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Tables (2)

Table 1. Solid State single-photon emitters

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Table 2. Comparison of various dielectric and metallic nanosystems performance

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Equations (1)

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F = \frac{R_{i n}}{R_{0, i n}} \equiv \frac{R e Z_{i n}}{R e Z_{0, i n}}

Materials	Types	Band gap, eV	ZPL	$g^{(2)} (0)$	T	Ref.
hBN	insulator	$\sim$ 6	$\sim$ 560-800 nm	0.077	RT	[26,27]
TMDC	semi-C	$\sim$ 1.0 - 2.5	$\sim$ 600-900 nm	0.14 $\pm$ 0.04	CT	[28,29]
Graphene	semimetal	zero-gap	$\sim$ 650 nm	< 0.1	RT	[30,31]
CNT	semi-C	1 eV for	$\sim$ 0.85-2 $μ$ m	0.0028 $\pm$ 0.0012	CT	[32,33]
CNT	semi-C	$d_{t}$ $\approx$ 1 nm	$\sim$ 0.85-2 $μ$ m	0.01 $\pm$ 0.01	RT	[32,33]
QD	semi-C	vary with its size	$\sim$ 0.3-2.0 $μ$ m	As QDs < 0.01	CT	[34,35]
QD	semi-C	vary with its size	$\sim$ 0.3-2.0 $μ$ m	N QDs $\sim$ 0.3	RT	[34,35]
Colour centers in diamond	semi-C	$\sim$ 5.5	$N V^{-} :$ 637 nm		RT	[2,36]
			$N V^{0} :$ 575 nm	NV: $\sim$ 0.32
			$S i V^{-} :$ 738 nm	SiV: $\sim$ 0.16
Colour centers in compound semi-C	semi-C	SiC: 3-4	$\sim$ 675-700 nm	$\sim$ 0.1	RT	[37–40]
		YAG: 6.3-6.5	$P r^{3 +} :$ 300-450 nm
		ZnO: 3.4	$\sim$ 560-720 nm
Perovskite	semi-C	$\sim$ 1.5-3	$\sim$ 400-800 nm	$C s P b l_{3} :$ 0.06	CT & RT	[41,42]

Nanosystems	Directivity	Purcell factor	Field enhancement	Ref.
Plasmonic cavity	-	$3.5 \times 10^{6}$	strong coupling	[44]
Dielectric Yagi-Uda	12	4	-	[45]
Dielectric notch antenna	10	-	-	[10]
Hybrid Janus dimer	-	-	120	[16]
Hybrid Yagi-Uda antenna	49	1800	-	[46]
^aProposed hybrid nanoantenna	2	$10^{6.5}$	20	-

Materials	Types	Band gap, eV	ZPL	$g^{(2)} (0)$	T	Ref.
hBN	insulator	$\sim$ 6	$\sim$ 560-800 nm	0.077	RT	[26,27]
TMDC	semi-C	$\sim$ 1.0 - 2.5	$\sim$ 600-900 nm	0.14 $\pm$ 0.04	CT	[28,29]
Graphene	semimetal	zero-gap	$\sim$ 650 nm	< 0.1	RT	[30,31]
CNT	semi-C	1 eV for	$\sim$ 0.85-2 $μ$ m	0.0028 $\pm$ 0.0012	CT	[32,33]
CNT	semi-C	$d_{t}$ $\approx$ 1 nm	$\sim$ 0.85-2 $μ$ m	0.01 $\pm$ 0.01	RT	[32,33]
QD	semi-C	vary with its size	$\sim$ 0.3-2.0 $μ$ m	As QDs < 0.01	CT	[34,35]
QD	semi-C	vary with its size	$\sim$ 0.3-2.0 $μ$ m	N QDs $\sim$ 0.3	RT	[34,35]
Colour centers in diamond	semi-C	$\sim$ 5.5	$N V^{-} :$ 637 nm		RT	[2,36]
			$N V^{0} :$ 575 nm	NV: $\sim$ 0.32
			$S i V^{-} :$ 738 nm	SiV: $\sim$ 0.16
Colour centers in compound semi-C	semi-C	SiC: 3-4	$\sim$ 675-700 nm	$\sim$ 0.1	RT	[37–40]
		YAG: 6.3-6.5	$P r^{3 +} :$ 300-450 nm
		ZnO: 3.4	$\sim$ 560-720 nm
Perovskite	semi-C	$\sim$ 1.5-3	$\sim$ 400-800 nm	$C s P b l_{3} :$ 0.06	CT & RT	[41,42]

Nanosystems	Directivity	Purcell factor	Field enhancement	Ref.
Plasmonic cavity	-	$3.5 \times 10^{6}$	strong coupling	[44]
Dielectric Yagi-Uda	12	4	-	[45]
Dielectric notch antenna	10	-	-	[10]
Hybrid Janus dimer	-	-	120	[16]
Hybrid Yagi-Uda antenna	49	1800	-	[46]
^aProposed hybrid nanoantenna	2	$10^{6.5}$	20	-