Abstract
light absorption is a substantial problem that profoundly influences a wide range of disciplines. Whereas it is fundamentally restricted by the bandgap energy of the involved materials. Herein, we study the sub-bandgap light absorption in germanium films via Berreman mode (BE) and its enhancement through weak coupling to Fabry-Perot cavity mode. This enhancement is performed by integrating the semiconductor film into a microcavity structure and tune its resonance frequency to match the epsilon-near-zero (ENZ) wavelength of the film material in a planar multilayer structure. We ascertained that our approach of electric field confinement in the semiconductor layer could perform significant light absorption at large incidence angles. That provides a novel, general, and simple method to enhance the optical and optoelectronic responses of any ENZ material, especially semiconductors below their bandgap energies.
© 2021 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
1. Introduction
Light absorption in semiconductors is a fundamental property that plays a vital role in modern photonics and optoelectronics. For example, imaging sensors, lasers, modulators, solar cells, and photodetectors are all based on light absorption by means of converting photons energy to another form of energy such as electrical or thermal. Therefore, absorption spectrum tailoring concerning spectral selectivity, absorption strength, and bandwidth is highly beneficial for these devices and expanding their application range. [1–5] _ENREF_1Nevertheless, it is well known that semiconductors’ light absorption is intrinsically limited by their bandgap energy; light can not be absorbed efficiently below the bandgap energy because of absorption coefficients’ rapid drop near the bandgap edge [1,6,7].
Over the past decades, some approaches have been reported to conquer this problem, such as creating mid-gap energy levels [8–10] -via heavy doping- or growing surface microstructures [11,12]. Profound insight into silicon as an example of semiconductors, its sub-bandgap light absorption could be increased up to a few percentage points by integrating dopants at a concentration of the order of ${10^{20}}c{m^{ - 3}}$, which also extended the optoelectronic response of the hyperdoped silicon to IR wavelengths as long as 2.2 $\mu m$ [13]. Furthermore, to fulfill near-perfect absorption below silicon's bandgap energy, laser-induced surface features patterning has been utilized [11,14]. However, both approaches have very poor overall quantum efficiency.
In general, many designs have been reported to engineer materials’ absorption, including nanostructured films, [15] epsilon-near-zero (ENZ) materials, [16,17] ultrathin semiconductor gratings, [18] plasmonic-based antennas, [19] and metamaterials [20,21]. In recent years, ENZ materials have been given much attention because of their unique features and applications [22–25]. The material could be considered an Epsilon-near-zero material if its electric permittivity real part crosses zero at one or various wavelengths. Doped semiconductors and transparent conductive oxides are the most popular artificial engineered ENZ materials [22]. Their ENZ wavelength can be tuned within a particular spectral range over the mid-and near-infrared regions by changing the growth conditions or/and the doping concentration [25,26]. Sb-doped Ge is one of such ENZ materials with an interestingly wide range tunability of the ENZ wavelength throughout 4-21 $\mu m$ [27].
Only thin films composed of an ENZ material can support Berreman mode (BE) or epsilon-near-zero mode (ENZ). [28,29] The BE and ENZ modes are two confined polaritons near ENZ wavelength; their dispersions are separated by the light line $\omega = c{K_\parallel }$ where ${K_\parallel }$ is the in-plane wave vector, c is the speed of light, and $\omega $ is the angular frequency [29]. BE mode is for wave vectors lying in the light cone, so it is a radiative mode [30] excitable from the free space by a P-polarized light that provides a ${E_ \bot }$ in thin films of thickness $\le 200\; nm$. [31] But ENZ mode wavevectors are located out of the light cone; that is why it is a non-radiative mode [28] that needs to be locally excited by coupling to localized plasmon resonances (LSPR) near field ${E_ \bot }$ [32,33] in ultrathin films of thickness $\le$ 20nm [29]. Both BE and ENZ modes grant strong manipulation of IR light-matter interaction at the nanoscale by the spectral and spatial distribution of confined and enhanced electric fields near the ENZ wavelength. Thence, Thin films’ IR absorption spectrum can be beneficially tailored.
In this work, we show that integrating a nanofilm of Sb-doped Ge into a Fabry-Perot microcavity can significantly strengthen the absorption peak when the microcavity and Berreman modes are weakly coupled at the ENZ wavelength. By modifying the incidence angle and the multilayer film geometry, a significant increase in light absorption up to several tenths of percentage points (49%) has been achieved below the germanium bandgap energy (approximately 0.8 eV). Our approach does not require complicated surface patterning; instead, we provide a powerful, simple but general method that can also be applied to other potential applications in photon detection and light harvesting. To the best of our knowledge, this approach has not been previously reported. Besides that, our first proposed device could be used in polarization switching applications as long as it shows selective polarization absorption.
2. Experimental section
2.1 Experimental part
Three samples of different structures, all containing Sb-doped Ge layers, were grown with a constant germanium deposition rate of 0.511 Å/s and a constant Sb flux of $1.4 \times {10^{12}}\; c{m^{ - 2}}{S^{ - 1}}$ at a constant growth temperature of 150 °C by molecular beam epitaxy (MBE) system. The MBE system was implemented with an electron beam evaporator for Si growth (EVBB-63-5, MBE-Komponenten, Germany) and two knudsen cell sources (WEZ-63-35, MBE-Komponenten, Germany) for Ge and Sb evaporation. Besides, a reflection high-energy electron diffraction (RHEED) system (RH 20 SS, Stable Instrumente, Germany) for in-situ crystalline quality and surface morphology monitoring. The antimony flux monitoring is performed using the quadrupole mass spectrometer. The base pressure of the MBE chamber is kept under $2 \times {10^{ - 10}}\; Torr.$
The zeroth sample (sample-0) was carried out to extract Sb-doped Ge film's complex permittivity under those constant growth conditions. To fabricate this sample, a 2-inch Si wafer was RCA cleaned then loaded into the MBE chamber. A 50 nm homo-epitaxial silicon layer was deposited at 500 °C on the Si substrate to smooth the terraces after degassing and removing the residual oxides. 1 $\mu m$ Sb-doped Ge film was grown on silicon substrates with constant Ge deposition rate, Sb flux, and substrate temperature, as mentioned above. Sample-1 was fabricated following the same procedures as sample-0 except that a 160 nm pure Ge layer was deposited before the 80 nm Sb-doped Ge film. This Ge layer is composed of a low temperature (LT, 380°C) seed layer (30 nm) and a high temperature (HT, 600°C) epilayer (130 nm) in order to achieve high crystallinity. After that, a thick gold layer was deposited on top of the 80 nm Sb-doped Ge film (see Fig. 3(a)) by magnetron sputtering equipment. The sputtering system mainly consists of a Thin Film Deposition Monitor (SQM-160, Inficon), RF power supply (CESAR Power Generator, Advanced Energy), and Magnetron Sputtering Sources (Kurt J. Lesker). In sample-2, the TiN layer was deposited first on the Si substrate using magnetron sputtering. Then, both (80 nm Sb-doped Ge) and (160 nm Ge) layers were deposited respectively on top of the TiN layer at 150 °C (see the schematic of Fig. 5(a)) by the MBE equipment. Cross section transmission electron microscopy (XTEM) (200 KV, Tecnai G2) was utilized to examine the crystal quality of the Sb-doped germanium films.
It is worth mentioning at this point that it was appropriate to use gold as a metallic ground plane in sample-1 because, in addition to its optical properties, it could be deposited at substrate temperatures less than 150 °C [34]. This represents a vital necessity when depositing it on top of the Sb-doped Ge layer, which is epitaxially grown at a substrate temperature of 150 °C. However, in the case of depositing Germanium films on top of a metallic ground plane such as the before mentioned structure, gold is not a good choice because of its low melting point (∼1,064°C) [35] compared to the germanium vapour temperature (1,280°C). In such a situation, gold can cause harmful consequences on the MBE system besides a bad quality planar multilayer film structure due to its diffusion into germanium. That is why in this case, titanium nitride (TiN) – which could not be deposited with a metallic character at substrate temperatures less than 600°C – [36] provides an excellent alternative for gold as a metallic ground plane due to its high melting point (∼3,000°C) [37] and suitable optical properties to support Berreman mode confinement in the Sb-doped Ge layer.
The reflectance spectra are measured with a Fourier transform infrared (FTIR) spectroscopy (Bruker, VERTEX 70) for wavelengths greater than 2.5 $\mu m$. While (Agilent Cary 7000) is used for smaller wavelengths. Complex permittivity is extracted from the normal-incidence reflectance spectrum by fitting the data with the Drude-Lorentz dispersion model [27,38,39].
2.2 Simulation part
Finite-difference time-domain (FDTD) simulations were carried out to optimize and study each structure (FDTD Solutions, Lumerical Solutions, Inc., Canada). The simulation region boundary conditions are set as Perfect match layer (PML), which are overridden by Broadband Fixed Angle Source Technique (BFAST) for the non-parallel boundaries to the film's plane. The reflectance monitor was located behind the source, whereas the transmission one was situated after the 300 nm metallic layer. A frequency-domain power monitor was located perpendicular to the film plane to figure out the electric near-field distribution. We used the dielectric constants of Au, TiN, Ge, and Si provided by the software, whereas that of Sb-doped Ge film was newly imported according to the FTIR reflectance data fitting results. The electric field magnitude was set to be 1 V/m.
3. Results and discussion
3.1 Results
Figure 1 shows the extracted real and imaginary parts of the electric permittivity of a 1 $\mu m$ thick Sb-doped Ge film, where the ENZ wavelength was found to be at 4.17 $\mu m$. When the real part of permittivity vanishes, the permittivity has an imaginary part of 2.4, which is low enough to support some kind of field confinement modes if its conditions are satisfied. The low imaginary part is attained in Sb-doped Ge film by its high electron mobility and crystal quality, which is crucial for large field enhancement [23]. Furthermore, the ENZ wavelength can be tuned by adjusting the doping level and growth conditions of Sb-doped Ge film [27].
In this paper, two devices of different structures are fabricated; the first absorbs light only due to Berreman mode confinement, and the second has absorption enhancement due to weak coupling. They will be mentioned as sample-1 and sample-2, respectively, while structure-1 and structure-2 stand for the planar nanoscaled multilayer structures in these devices.
To calculate the absorption in sample-1 as a whole device composed of the Si-substrate and the structure-1 of (Ge, Sb-doped Ge, Au) layers (see Fig. 3(a)), we firstly should calculate it for the Sb-doped Ge layer, which represents the active layer of absorption. In the samples considered here, an optically thick metallic ground plane is used, then the transmission (T) could be regarded as zero in $A = 1 - R - T;$ therefore, the absorption (A) and reflectivity (R) are simply related by $A = 1 - R$ [24]. Thus, the very first step to obtaining the absorption is to get the reflectivity.
Figure 2(b) represents the simulated reflectivity spectra under S- and P-polarized incidence for different Sb-doped Ge thicknesses at a constant incidence angle of ${16^\circ }$ inside the Si-substrate. Because it was found to be the optimized incidence angle to achieve the highest absorption, as shown in Fig. 2(e). The reflection dips under p-polarized incidence in Fig. 2(b) can be attributed to the Berreman Effect, with thickness independent resonance frequency that coincides with the Sb-doped Ge ENZ wavelength (4.17 $\mu m$). The calculated absorption spectra are plotted in Fig. 2(c); the observed absorption behavior features a clear thickness dependence of the absorption strength. Relying on the absorption peak maximum and the thickness of each Sb-doped Ge film as shown in Fig. 2(d), we concluded that the 80 nm Sb-doped Ge is the optimized film thickness to support Berreman mode between Si substrate and the thick gold ground plane. Furthermore, inserting a pure 160 nm Ge layer between the Si substrate and the Sb-doped Ge film could enhance the absorption at the ENZ wavelength by a percent of 7%, as shown in (Fig. 2 f, g, h, and i). Besides, this pure Ge layer acts as a virtual substrate from the experimental fabrication perspective, which improves the Sb-doped Ge film's crystal quality during its epitaxial growth [27].
The undoped Si substrate has no absorption band in the mid-IR range; [41] in addition to that, it has a negligible refractive index dispersion all over the simulations and measurements bandwidth (2-8 $\mu m$). Therefore, the Si substrate refractive index could be taken as 2.43 [42]. As well, Snell's law could be easily used to relate the first incidence angle (on the air-Si substrate interface) to the second incidence angle (on the Si substrate-structure interface), as shown in Fig. 3(a). The greater the second incidence angle, the deeper the reflection dip of P-polarized incidence due to Berreman resonance, as illustrated in Fig. 2(e). That is why we measured the reflectivity spectra of sample-1 at high incidence angles for both S- and P-polarized light, as Fig. 3(b) displays. Sample-1 shows selective absorption of only P-polarized light with an excellent agreement with the simulation results, as clarified in the discussion sub-section. Reflection high-energy electron diffraction (RHEED) patterns in Fig. 3 c and d indicate a high crystal quality and smooth surface morphology for both Ge and Sb-doped Ge layers, successively [27].
Since a Berreman mode is a radiative mode that can be excited from the free space, we considered another device structure that can support Berreman mode and Fabry-Perot cavity mode to enhance the absorption at the ENZ wavelength by coupling them. This way, the device can absorb both S- and P-polarized light, not only P-polarized as in sample-1. In addition to saving P-polarized light for more round trips of multiple reflections to strengthen the Berreman mode itself. Our simulation results reveal that the simple structure of Sb-doped Ge film on top of the 300 nm titanium nitride (TiN) layer could support Berreman mode up to Sb-doped Ge thickness of 440 nm (see Fig. S1, Supplement 1). However, the Fabry-Perot bare cavity mode resonance frequency could not be tuned at the ENZ wavelength, regardless of the Sb-doped Ge layer thickness. Thus, they could not be coupled.
It is clear from the foregoing that the additional Ge layer, as in Fig. 4(c), plays two critical roles. First of all, to support the long-range surface plasmon polariton on the opposite side of the TiN-(Sb-doped Ge) interface that helps to confine the electric field inside the Sb-doped Ge film supporting Berreman mode and lowering the leaky field (see Fig. 4 a and b). The second is to engineer its thickness to tune the Fabry-Perot bare cavity mode resonance frequency to cross the Berreman mode resonance frequency. Those two combined factors achieved the best p-polarized light absorption at the ENZ wavelength when the Ge layer's thickness was 160 nm, as shown in (Fig. 4 c, d, e, and f). All mentioned above simulations pursuing optimize sample-2 geometry are carried out at a fixed incidence angle of 50° to neutralize the effect of incidence angle and maximize the absorption (see Fig. S2, Supplement 1). This is according to our simulations of sample-2 reflectivity spectra for different incidence angles in the air.
Figure 5 insets show the proposed device structure “structure-2” of the optimized conditions to couple Fabry-Perot cavity mode to the Berreman mode. Besides that, Fig. 5 presents the comparison between the bare cavity mode (s-polarization) and the coupling result (p-polarization), which implies that the cavity can provide only 40.5% maximum absorption without Berreman mode. It also confines p-polarized light to give more chance of Berreman mode absorption to occur, enhancing the P-polarized incidence absorption by 49%, as Fig. 4(f) clarifies by comparing the absorption spectrum maximum of the 0 nm Ge layer structure with the other one of 160 nm Ge. Moreover, in the case of unpolarized light incidence, the tuned S-polarized light absorption of percent 40.5% -which would not exist before, as in Fig. 3(b) - should be added to the 68% of P-polarization absorption at the ENZ wavelength (see Fig. 5(b)) to get a total absorption of 54.25% (see Table 1).
We fabricated sample-2 as we designed it in the inset of Fig. 5, except that the Ge and Sb-doped Ge layers were not single crystalline films; instead, there were polycrystalline films as the rings of the RHEED [43] and XTEM selective area electron diffraction (SAED) [44,45] patterns indicate in Fig. 6 a and e, respectively. This was because there is no practical way to grow Ge single-crystalline film on top of a TiN film. Nevertheless, the experimental measured S- and P-reflectivity spectra of sample-2 in Fig. 6(b) show a remarkable agreement with our simulated ones as for spectral selectivity (resonance wavelength), absorption strength, except in the absorption bandwidth (see Fig. 6 c and d). This could be attributed to the crystal structure difference, as evident when comparing Fig. 3(e) and 7(e).
3.2 Discussion
To get a more profound insight into the experimental reflectivity results of sample-1 and their relation to the simulated ones, we analyzed the simulated results to test its validity of reproducing the experimental results.
However, according to Fig. 7 c, d, and e, our approach succeeded to a large extent in reproducing the experimental reflectivity spectra considering only the first partial reflected wave at all studied incidence angles.
This gives a shred of solid evidence that the only reason for the obtained absorption that causes this dip in reflectivity spectrum herein is attributed to the Berreman mode, as manifested by the absence of multiple reflections or any other reason of absorption, the constancy of reflection dip position at the ENZ wavelength of Sb-doped Ge active film, and the selective absorption of only P-polarized light of nonzero incidence angle. Moreover, it provides high credibility for all simulation results that we build our argument on.
In structure-2, films act as an optical microcavity confines photons to increase their lifetime inside the material and favor their interaction with Berreman mode of the active Sb-doped Ge film [46]. The weak coupling between the engineered Fabry-Perot cavity mode and the Berreman mode is apparent, as presented in Fig. 8. Taking into account that, Fig. 8(b) represents the Berreman mode branch because only the P-polarized incidence can excite Berreman mode; however, Fig. 8(a) emphasizes that there is no cavity mode by its almost zero absorption of S-polarization. But Fig. 8(c) represents just the bare cavity mode branch because the S-polarized incidence can not excite Berreman mode, while Fig. 8(d) depicts the coupling between the two modes because the P-polarized light can excite both modes. In these coupling regimes, the dispersion curves do not avoid crossing each other; instead, they maximize the crossing region's resonance achieving a greater absorption, [47–49] as in Fig. 8(e).
4. Conclusion
We presented an easy and efficient method for sub-bandgap light absorption by coupling a Berreman mode and Fabry-Perot cavity mode at the ENZ wavelength. This approach enhanced the semiconductor light absorption by an additional 49% at energies below its bandgap. It involves integrating the Sb-doped Ge as an active layer into a planar multilayers structure, which is designed to form a microcavity that resonates at a wavelength corresponding to the active layer’s ENZ wavelength. Planar multilayers structures are optimized and fabricated to absorb light at large incidence angles through Berremam mode confinement with and without coupling. As a result, we observed a significant enhancement in light absorption strength with coupling. Also, a bandwidth broadening is noticed, which could be attributed to the crystal structure difference of the absorption active layer as demonstrated in TEM images.
We believe that our approach and results sufficiently indicate that it is now possible to engineer a sub-bandgap near-perfect absorber utilizing ENZ materials, which could lead to new and interesting applications in near- and mid-IR ranges. Furthermore, such a device can be easily fabricated without surface patterning difficulties and limitations. That is paving the road for further enhancement in optical and optoelectronic responses below materials bandgap energies, which were representing stumbling blocks for many applications of light-matter interaction in diverse disciplines.
Funding
State Key Laboratory of Modern Optical Instrumentation; Zhejiang University; National Natural Science Foundation of China (91950205); National Key Scientific and Technological Infrastructure for Translational Medicine, Shanghai (TMSK-2020 125).
Disclosures
The authors declare no conflicts of interest.
Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Supplemental document
See Supplement 1 for supporting content.
References
1. S. Das, Y. Wang, Y. Dai, S. Li, and Z. Sun, “Ultrafast transient sub-bandgap absorption of monolayer MoS2,” Light: Sci. Appl. 10(1), 27 (2021). [CrossRef]
2. C. F. Klingshirn, Semiconductor Optics (Springer Berlin Heidelberg, 2012).
3. J. Singh, Semiconductor Optoelectronics: Physics and Technology (McGraw-Hill, 1995).
4. J. J. Talghader, A. S. Gawarikar, and R. P. Shea, “Spectral selectivity in infrared thermal detection,” Light: Sci. Appl. 1(8), e24 (2012). [CrossRef]
5. Q. Lin, A. Armin, P. L. Burn, and P. Meredith, “Near infrared photodetectors based on sub-gap absorption in organohalide perovskite single crystals,” Laser Photonics Rev. 10(6), 1047–1053 (2016). [CrossRef]
6. B. H. Woo, I. C. Seo, J. Heo, Y. J. Yoon, J. Y. Kim, and Y. C. Jun, “Enhancement of sub-bandgap light absorption in perovskite semiconductor films via critical coupling,” Opt. Express 27(18), 25293–25304 (2019). [CrossRef]
7. C. Kaiser, S. Zeiske, P. Meredith, and A. Armin, “Determining Ultralow Absorption Coefficients of Organic Semiconductors from the Sub-Bandgap Photovoltaic External Quantum Efficiency,” Adv. Opt. Mater. 8(1), 1901542 (2020). [CrossRef]
8. M. Casalino, G. Coppola, M. Iodice, I. Rendina, and L. Sirleto, “Near-infrared sub-bandgap all-silicon photodetectors: state of the art and perspectives,” Sensors 10(12), 10571–10600 (2010). [CrossRef]
9. J. D. B. Bradley, P. E. Jessop, and A. P. Knights, “Silicon waveguide-integrated optical power monitor with enhanced sensitivity at 1550 nm,” Appl. Phys. Lett. 86(24), 241103 (2005). [CrossRef]
10. J. K. Doylend, P. E. Jessop, and A. P. Knights, “Silicon photonic resonator-enhanced defect-mediated photodiode for sub-bandgap detection,” Opt. Express 18(14), 14671–14678 (2010). [CrossRef]
11. C. Wu, C. H. Crouch, L. Zhao, J. E. Carey, R. Younkin, J. A. Levinson, E. Mazur, R. M. Farrell, P. Gothoskar, and A. Karger, “Near-unity below-band-gap absorption by microstructured silicon,” Appl. Phys. Lett. 78(13), 1850–1852 (2001). [CrossRef]
12. B. Franta, D. Pastor, H. H. Gandhi, P. H. Rekemeyer, S. Gradečak, M. J. Aziz, and E. Mazur, “Simultaneous high crystallinity and sub-bandgap optical absorptance in hyperdoped black silicon using nanosecond laser annealing,” 118, 225303 (2015).
13. J. P. Mailoa, A. J. Akey, C. B. Simmons, D. Hutchinson, J. Mathews, J. T. Sullivan, D. Recht, M. T. Winkler, J. S. Williams, J. M. Warrender, P. D. Persans, M. J. Aziz, and T. Buonassisi, “Room-temperature sub-band gap optoelectronic response of hyperdoped silicon,” Nat. Commun. 5(1), 3011 (2014). [CrossRef]
14. B. Franta, D. Pastor, H. H. Gandhi, P. H. Rekemeyer, S. Gradečak, M. J. Aziz, and E. Mazur, “Simultaneous high crystallinity and sub-bandgap optical absorptance in hyperdoped black silicon using nanosecond laser annealing,” J. Appl. Phys. 118(22), 225303 (2015). [CrossRef]
15. M. Aeschlimann, T. Brixner, D. Differt, U. Heinzmann, M. Hensen, C. Kramer, F. Lükermann, P. Melchior, W. Pfeiffer, M. Piecuch, C. Schneider, H. Stiebig, C. Strüber, and P. Thielen, “Perfect absorption in nanotextured thin films via Anderson-localized photon modes,” Nat. Photonics 9(10), 663–668 (2015). [CrossRef]
16. Y. Yang, K. Kelley, E. Sachet, S. Campione, T. S. Luk, J.-P. Maria, M. B. Sinclair, and I. Brener, “Femtosecond optical polarization switching using a cadmium oxide-based perfect absorber,” Nat. Photonics 11(6), 390–395 (2017). [CrossRef]
17. S. Feng and K. Halterman, “Coherent perfect absorption in epsilon-near-zero metamaterials,” Phys. Rev. B 86(16), 165103 (2012). [CrossRef]
18. B. C. P. Sturmberg, T. K. Chong, D.-Y. Choi, T. P. White, L. C. Botten, K. B. Dossou, C. G. Poulton, K. R. Catchpole, R. C. McPhedran, and C. Martijn de Sterke, “Total absorption of visible light in ultrathin weakly absorbing semiconductor gratings,” Optica 3(6), 556–562 (2016). [CrossRef]
19. A. Alù and M. Agio, “Optical Antennas,” in Optical Antennas, A. Alù and M. Agio, eds. (Cambridge University, Cambridge, 2013).
20. C. M. Watts, X. Liu, and W. J. Padilla, “Metamaterial Electromagnetic Wave Absorbers,” Adv. Mater. 24(23), OP98–OP120 (2012). [CrossRef]
21. J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010). [CrossRef]
22. W. Jia, M. Liu, Y. Lu, X. Feng, Q. Wang, X. Zhang, Y. Ni, F. Hu, M. Gong, X. Xu, Y. Huang, W. Zhang, Y. Yang, and J. Han, “Broadband terahertz wave generation from an epsilon-near-zero material,” Light: Sci. Appl. 10(1), 11 (2021). [CrossRef]
23. Y. Yang, J. Lu, A. Manjavacas, T. S. Luk, H. Liu, K. Kelley, J.-P. Maria, E. L. Runnerstrom, M. B. Sinclair, S. Ghimire, and I. Brener, “High-harmonic generation from an epsilon-near-zero material,” Nat. Phys. 15(10), 1022–1026 (2019). [CrossRef]
24. J. R. Hendrickson, S. Vangala, C. Dass, R. Gibson, J. Goldsmith, K. Leedy, D. E. Walker, J. W. Cleary, W. Kim, and J. Guo, “Coupling of Epsilon-Near-Zero Mode to Gap Plasmon Mode for Flat-Top Wideband Perfect Light Absorption,” ACS Photonics 5(3), 776–781 (2018). [CrossRef]
25. N. Kinsey, C. DeVault, J. Kim, M. Ferrera, V. M. Shalaev, and A. Boltasseva, “Epsilon-near-zero Al-doped ZnO for ultrafast switching at telecom wavelengths,” Optica 2(7), 616–622 (2015). [CrossRef]
26. G. V. Naik, V. M. Shalaev, and A. Boltasseva, “Alternative Plasmonic Materials: Beyond Gold and Silver,” Adv. Mater. 25, 3264–3294 (2013). [CrossRef]
27. H. Chong, Z. Xu, Z. Wang, J. Yu, T. Biesner, M. Dressel, L. Wu, Q. Li, and H. Ye, “CMOS-Compatible Antimony-Doped Germanium Epilayers for Mid-Infrared Low-Loss High-Plasma-Frequency Plasmonics,” ACS Appl. Mater. Interfaces 11(21), 19647–19653 (2019). [CrossRef]
28. S. Vassant, J.-P. Hugonin, F. Marquier, and J.-J. Greffet, “Berreman mode and epsilon near zero mode,” Opt. Express 20(21), 23971–23977 (2012). [CrossRef]
29. S. Campione, I. Brener, and F. Marquier, “Theory of epsilon-near-zero modes in ultrathin films,” Phys. Rev. B 91(12), 121408 (2015). [CrossRef]
30. Y. C. Jun, T. S. Luk, A. Robert Ellis, J. F. Klem, and I. Brener, “Doping-tunable thermal emission from plasmon polaritons in semiconductor epsilon-near-zero thin films,” Appl. Phys. Lett. 105(13), 131109 (2014). [CrossRef]
31. H. G. Tompkins and E. A. Irene, “Handbook of Ellipsometry,” in Handbook of Ellipsometry, H. G. Tompkins and E. A. Irene, eds. (William Andrew Publishing, Norwich, NY, 2005).
32. C. Huck, J. Vogt, T. Neuman, T. Nagao, R. Hillenbrand, J. Aizpurua, A. Pucci, and F. Neubrech, “Strong coupling between phonon-polaritons and plasmonic nanorods,” Opt. Express 24(22), 25528–25539 (2016). [CrossRef]
33. T. W. H. Oates, H. Wormeester, and H. Arwin, “Characterization of plasmonic effects in thin films and metamaterials using spectroscopic ellipsometry,” Prog. Surf. Sci. 86(11-12), 328–376 (2011). [CrossRef]
34. Y. Golan, L. Margulis, and I. Rubinstein, “Vacuum-deposited gold films: I. Factors affecting the film morphology,” Surf. Sci. 264(3), 312–326 (1992). [CrossRef]
35. . “Chapter 11 - Material and Functionality Integration,” in Fundamentals and Applications of Nano Silicon in Plasmonics and Fullerines, M. Nayfeh, ed. (Elsevier, 2018), pp. 311–340.
36. C. M. Zgrabik and E. L. Hu, “Optimization of sputtered titanium nitride as a tunable metal for plasmonic applications,” Opt. Mater. Express 5(12), 2786–2797 (2015). [CrossRef]
37. W.-P. Guo, R. Mishra, C.-W. Cheng, B.-H. Wu, L.-J. Chen, M.-T. Lin, and S. Gwo, “Titanium Nitride Epitaxial Films as a Plasmonic Material Platform: Alternative to Gold,” ACS Photonics 6(8), 1848–1854 (2019). [CrossRef]
38. G. E. Jellison and F. A. Modine, “Parameterization of the optical functions of amorphous materials in the interband region,” Appl. Phys. Lett. 69(3), 371–373 (1996). [CrossRef]
39. Z. Xu, C. Chen, Z. Wang, K. Wu, H. Chong, and H. Ye, “Optical constants acquisition and phase change properties of Ge2Sb2Te5 thin films based on spectroscopy,” RSC Adv. 8(37), 21040–21046 (2018). [CrossRef]
40. R. Soref, J. Hendrickson, and J. W. Cleary, “Mid- to long-wavelength infrared plasmonic-photonics using heavily doped n-Ge/Ge and n-GeSn/GeSn heterostructures,” Opt. Express 20(4), 3814–3824 (2012). [CrossRef]
41. H. Ren, L. Shen, A. F. J. Runge, T. W. Hawkins, J. Ballato, U. Gibson, and A. C. Peacock, “Low-loss silicon core fibre platform for mid-infrared nonlinear photonics,” Light: Sci. Appl. 8(1), 105 (2019). [CrossRef]
42. E. D. Palik, Handbook of Optical Constants of Solids: Volume 1 (Elsevier Science, 2012).
43. S. Oyarzún, A. K. Nandy, F. Rortais, J. C. Rojas-Sánchez, M. T. Dau, P. Noël, P. Laczkowski, S. Pouget, H. Okuno, L. Vila, C. Vergnaud, C. Beigné, A. Marty, J. P. Attané, S. Gambarelli, J. M. George, H. Jaffrès, S. Blügel, and M. Jamet, “Evidence for spin-to-charge conversion by Rashba coupling in metallic states at the Fe/Ge(111) interface,” Nat. Commun. 7(1), 13857 (2016). [CrossRef]
44. C. Liang, X. Zhang, S. Xia, Z. Wang, J. Wu, B. Yuan, X. Luo, W. Liu, W. Liu, and Y. Yu, “Unravelling the room-temperature atomic structure and growth kinetics of lithium metal,” Nat. Commun. 11(1), 5367 (2020). [CrossRef]
45. D. B. Williams and C. B. Carter, Transmission Electron Microscopy: A Textbook for Materials Science (Springer US, 2009).
46. G. Günter, A. A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, S. De Liberato, C. Ciuti, A. Tredicucci, A. Leitenstorfer, and R. Huber, “Sub-cycle switch-on of ultrastrong light–matter interaction,” Nature 458(7235), 178–181 (2009). [CrossRef]
47. Y.-Y. Lai, Y.-P. Lan, and T.-C. Lu, “Strong light–matter interaction in ZnO microcavities,” Light: Sci. Appl. 2(6), e76 (2013). [CrossRef]
48. C. W. Hsu, B. Zhen, S.-L. Chua, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Bloch surface eigenstates within the radiation continuum,” Light: Sci. Appl. 2(7), e84 (2013). [CrossRef]
49. R. Jayaprakash, K. Georgiou, H. Coulthard, A. Askitopoulos, S. K. Rajendran, D. M. Coles, A. J. Musser, J. Clark, I. D. W. Samuel, G. A. Turnbull, P. G. Lagoudakis, and D. G. Lidzey, “A hybrid organic–inorganic polariton LED,” Light Sci Appl 8(1), 81 (2019). [CrossRef]