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Black phosphorus: Light-matter interactions and potential applications
CHAPTER 6
Black phosphorus: Light-matter interactions and potential applications Jiong Yang, Yuerui Lu Research School of Engineering, College of Engineering and Computer Science, Australian National University, Canberra, ACT, Australia
6.1 Introduction Black phosphorus (BP) is a recently rediscovered two-dimensional (2D) material that has attracted tremendous attention owing to its unique anisotropic manner,1–7 layer-dependent direct bandgaps,8–10 and quasi-onedimensional (1D) excitonic nature,11–13 which are all in drastic contrast with the properties of other 2D materials, such as graphene14 and transition metal dichalcogenide (TMD) semiconductors.15–17 Monolayer BP has been of particular interest in investigating fundamental physics, such as 2D quantum confinement and many-body interactions,11, 18 and exploring advanced photonic and optoelectronic applications. Light-matter interaction in BP is extraordinarily strong. The anisotropic nature of BP that originates from its puckering structure has been characterized by Raman spectroscopy.2, 6, 13, 19–23 Exciton and trion properties in BP have also been characterized by photoluminescence (PL) spectroscopy.10, 12, 24, 25 Regardless of the fact that it is unstable in ambient conditions and degrades quickly,5, 9, 24, 26–29 BP owns one intriguing property, i.e., the layer-dependent direct bandgap in the infrared range.9–11, 24, 30, 31 With this unique property, BP can bridge the zero-bandgap graphene14, 32 and comparatively large-bandgap TMD semiconductors,33–35 leading it to potential applications in the infrared regime, such as infrared photodetectors and absorbers.21, 36–39 Besides, unlike TMD semiconductors that show an indirect-to-indirect bandgap transition only when the layer number is thinned down to monolayer,33–35 BP is a direct bandgap semiconductor from monolayer to its bulk form,5, 9, 30 resulting in high internal quantum efficiency and making it a promising candidate for future optoelectronic applications. In this chapter, we focus on the
2D Materials for Photonic and Optoelectronic Applications https://doi.org/10.1016/B978-0-08-102637-3.00006-1
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light-matter interactions in BP by analyzing its Raman and PL measurements, and we also discuss its potential photonic and optoelectronic applications.
6.2 Raman spectroscopy Raman spectroscopy is a powerful tool to characterize the structural and electronic properties of few-layer BP. In particular, temperature-dependent Raman spectroscopy can help further understand the fine structure and properties of the material, such as atomic bonds, thermal expansion, and thermal conductivity.9 Angle-dependent Raman measurements can quickly determine the crystalline orientation of a BP flake due to its strong anisotropic nature. Besides, Favron et al. also experimentally demonstrated that Raman spectroscopy could be used to identify the layer number of few-layer BP.27 Different from the situation in TMD semiconductors, where the A1g and E2g1 modes keep blue- and red-shifting with the layer number from bulk to monolayer, respectively,40, 41 the Ag2 mode exhibits redshift from bulk to bilayer BP and then blueshift when the layer number is further thinned down to monolayer. This peculiar trend may be caused by the combination of two out-of-phase monolayer infrared modes in bilayer BP that generates a new Raman-allowed mode near the Ag2 frequency. Furthermore, the ratio between the intensity of Ag1 and Si peak in Raman spectroscopy can also be used to roughly identify the layer number of BP samples.26, 27
6.2.1 Temperature-dependent Raman spectroscopy Temperature-dependent Raman study for few-layer BP is important to further understand the fine structure and properties of the material, such as atomic bonds, thermal expansion, and thermal conductivity. The temperature dependence of the Raman spectra, measured at temperature ranging from 20°C to –160°C in a 5 L BP, is shown in Fig. 6.1. The decreasing temperature leads to the blueshift of the Raman phonon modes, Ag1, B2g, and Ag2. The measured temperature dependence of the Raman mode frequency shift in few-layer BP can be characterized by a linear equation: ω ¼ ω0 + χT
(6.1)
where ω0 is the mode frequency at 0 K and χ is the first-order temperature coefficient. The measured χ values for modes Ag1, B2g, and Ag2 in a 5 L BP are 0.023, 0.018, and 0.023 cm1/°C, respectively (Fig. 6.1B). The change of the Raman shift with temperature is determined by the anharmonic terms in the lattice potential energy, which is related to the anharmonic
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Fig. 6.1 Temperature-dependent Raman spectra of 5 L BP. (A) Raman spectra of 5 L BP at temperature ranging from 20°C to 160°C. (B) Temperature dependence of Ag1, B2g, and Ag2 Raman peak positions. Adapted with permission from Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y., Extraordinary Photoluminescence and Strong Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590-9596.
potential constants, the phonon occupation number, and the thermal expansion of the crystal.42 These measured χ values in 5 L BP are all larger in absolute value than those from both bilayer graphene (0.0154 cm1/°C for G peak)43 and few-layer MoS2 (0.0123 and 0.0132 cm1/°C for A1g and E2g1 modes, respectively).44 This indicates that phonon frequencies in few-layer BP are more sensitive to temperature modulation than those in graphene and MoS2, which could be due to the superior mechanical flexibility of BP originating from its unique puckered crystal structure.45
6.2.2 Angle-dependent Raman spectroscopy Compared with other 2D materials, BP shows strong anisotropic properties, allowing for various unique applications in optoelectronics. Normally, TEM is used to analyze the crystalline orientation of crystals. But the high-energy electrons in TEM are likely to introduce lots of defects in BP, which can expedite the reaction of BP with moisture and other possible reactants from the environment.26 Thus, it is important to develop optical means to characterize the crystalline properties. It has been recently shown that secondharmonic generation is used to determine the crystalline orientation of MoS2.46 Both polarized reflection spectroscopy1 and polarized IR spectroscopy2 are capable of providing simple and nondestructive optical way to
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determine the crystalline orientation of BP. Angle-dependent Raman spectroscopy is an even simpler optical means to determine the crystalline orientation of BP. This process is critically important as it has minimal damage to BP and significantly shortened the time of characterization, allowing for more accurate analysis of intrinsic BP properties. Linearly polarized Raman measurements were performed to quickly determine the crystalline orientation of a BP flake (15 L) (Fig. 6.2). The normally incident laser was in the z-direction. The polarization angle θ is relative to the zero-degree reference, which can be arbitrarily selected at the
Fig. 6.2 BP crystalline orientation determination by polarization Raman spectra. (A) Raman spectra of 15 L BP under different polarization angles. (B) Polarization dependence of Ag1, Ag2, B2g modes in 15 L BP and the Raman peaks in silicon. (C) Schematic plot showing vibration directions of Ag1, Ag2, B2g Raman modes. (D) Crystalline orientation of the 15 L BP flake, determined by angle-dependent Raman measurement. Adapted with permission from Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y., Extraordinary Photoluminescence and Strong Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590-9596.
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beginning. Raman intensities of B2g and Ag2 were observed to be significantly dependent on the polarization angle (Fig. 6.2A). The angledependent intensities of B2g and Ag2 modes both show an angle period of 180 degree and are out of phase (Fig. 6.2B). The Raman intensity of Ag1 is less sensitive to the polarization angle (Fig. 6.2B). The measurement results can be perfectly explained by the vibration directions of these three Raman modes in crystalline BP. Fig. 6.2C shows a schematic of the vibration direction of phosphorus atoms in different Raman modes.47 In Ag2, B2g, and Ag1 vibrational modes, phosphorus atoms oscillate along the x (zigzag), y (armchair), and z (out-of-plane) directions, respectively. When laser polarization is parallel to x-direction (y-direction), the intensity of the Ag2 mode will reach the maximum (minimum) value; meanwhile, the intensity of the B2g mode will reach the minimum (maximum) value. Based on this polarization-dependent Raman measurement, the crystalline orientation of this 15 L BP flake was quickly determined, as indicated in Fig. 6.2D. This technique provides a fast and precise determination of crystalline orientation, without the need of complicated and high-resolution imaging systems, such as STM or TEM.
6.3 PL measurements PL spectroscopy is a useful tool to characterize the electronic band structure of 2D materials, and it utilizes the interactions between laser photons and electrons/holes inside the measured material. Since the first rediscovery of BP, PL spectroscopy with different functionalities has been used to analyze it, including its optical bandgap, anisotropic nature, oxidation and degradation, and its exciton and trion dynamics.9, 10, 12, 24, 25, 48, 49
6.3.1 Layer-dependent PL Because of the strongly layer-dependent peak energies and the direct bandgap nature of BP, layer number identification can be further confirmed by measuring their corresponding peak energies of PL emission (Fig. 6.3). Fig. 6.3A shows the normalized PL spectra of the mono- to five-layer BP samples. The emission peak of the PL spectrum for a monolayer BP is at 711 nm, corresponding to a peak energy of 1.75 eV. This PL peak energy value was measured at 10°C, and it is expected not to vary too much at room temperature. Combining the results of previous work on few-layer BP (2 to 5 L)9 with the results obtained from recent samples (1 to 5 L),10 it can be clearly observed that the peak energy of PL emission shows unambiguous
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Fig. 6.3 PL characteristics of mono- and few-layer BP. (A) PL spectra of the mono- to five-layer BP samples. Each PL spectrum is normalized to its peak intensity and system background. (B) Evolution of PL peak energy with layer number of BP from experimental PL spectra, showing a rapid increase in peak energy as the layer number decreases. The solid gray line is the fitting curve Eopt ¼1.486/N0.686 + 0.295, where Eopt is the optical gap in unit of eV and N is the layer number. Inset: energy diagram showing the electronic bandgap (Eg) and the exciton binding energy (Eb).
layer dependence (Fig. 6.3B). For each layer number, at least three samples were characterized; the measured peak energies for 1 to 5 L BP were 1.75 0.04, 1.29 0.03, 0.97 0.02, 0.840.02, and 0.800.02 eV, respectively. The PL emission energy of BP samples with higher layer numbers (>5) is beyond the measurement wavelength range (up to 1600 nm) of a normal PL system. The peak energy of PL emission, also termed as optical gap (Eopt), is the difference between electronic bandgap (Ea) and exciton binding energy (Eb) (Fig. 6.3B inset). Owing to the strong quantum confinement effect, freestanding monolayer BP is expected to have a large exciton binding energy of 0.8 eV,11, 18 whereas this value is expected to be only 0.3 eV for monolayer BP on an SiO2/Si substrate because of increased screening from the substrate. Using the measured electronic energy gap of 2.05 eV from Pan et al.50 and the measured optical gap of 1.75 eV in monolayer BP, the exciton binding energy of a monolayer BP on SiO2/Si substrate was determined to be 0.3 eV, which agrees very well with the prediction.18 The optical gaps in BP increase rapidly with decreasing layer number because of the strong quantum confinement effect and the van der Waals interactions between neighboring sheets in few-layer BP.11, 51 A power law form was used to fit the experimental data and obtain the fitting curve of
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Eopt ¼ 1:486=N 0:686 + 0:295
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(6.2)
where Eopt is the optical gap in unit of eV and N is the layer number (Fig. 6.3B). The layer-dependent optical gaps, as indicated in Fig. 6.3B, agree very well with theoretical predictions.8, 11 For bulk BP sample with large N value, its optical gap approaches the limit value of 0.295 eV, which matches very well with the measured energy gap (0.3 eV) of bulk BP.1, 52 Previously, Ye et al.5 observed bright exciton PL emission at 1.45 eV from a monolayer BP that was coated with a layer of PMMA. This protective layer might introduce some defect states to the sample, which could change PL emission energy.
6.3.2 Power-dependent PL The dynamics of excitons and trions have been of considerable interest for fundamental studies of many-body interactions, such as carrier multiplication and Wigner crystallization.53 Monolayer BP, whose excitons are predicted to be confined in a quasi-1D space, provide an ideal platform for investigating remarkable exciton and trion dynamics in a reduced dimension. Exciton and trion dynamics have been successfully probed in a monolayer BP by controlling the photocarrier injection in power-dependent PL measurements (Fig. 6.4). The measured PL spectra exhibited two clear peaks with central wavelengths at 705 nm (labeled “A”) and 760 nm (labeled “X”), whose intensities and peak positions are highly dependent on excitation power (Fig. 6.4A). After Lorentzian fitting of the measured PL spectra, the spectral components of these two peaks were extracted, indicated by red and blue curves in Fig. 6.4A. The intensity of higher-energy peak A increased almost linearly with laser power (Fig. 6.4B), while that of lower-energy peak X gradually saturated at a relatively high photocarrier injection. When the excitation power changed from 0.19 to 1.15 μW (Fig. 6.4C), the optical gap of A emission (EA) monotonically decreased by 15 meV, while that of X emission (EX) increased by 35 meV. The higher-energy peak A is attributed to exciton emission. The origin of peak X is particularly interesting. Experimental observations do not support that peak X comes from the emission of localized excitons. First, the energy difference between PL emissions from the localized and free excitons is not sensitive to the relatively low density of photocarrier injection.25, 54, 55 But in the experiment, this energy difference decreased significantly from 150 to 100 meV when the power of excitation laser increased from 0.19 to 1.15 μW. Furthermore, localized excitons are
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Fig. 6.4 Exciton and trion dynamics in monolayer phosphorene. (A) Measured PL spectra (solid gray lines) under various excitation laser power. PL spectra are fit to Lorentzians (solid red lines are exciton components, solid blue lines are trion components, and solid pink lines are the cumulative fitting results). (B) PL intensity of exciton (A) and trion (X) as a function of laser power. (C) PL peak energy of exciton (A) and trion (X) as a function of laser power.
expected to have a longer lifetime than free excitons because of the localization effect of squeezing an exciton in the zero-dimension-like state.54, 56 However, time-resolved PL measurements revealed that the carrier lifetime from X state is less than that from A state. Therefore, the origin of X state can be attributed to trions. The trion peak intensity saturates at high photocarrier injection (Fig. 6.4B) because the free carriers coming from initial doping are almost depleted during the formation of trions. The trion density estimated from optical injection is comparable to the estimated initial doping level of the monolayer BP sample.
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The difference between peak energies of exciton and trion PL emission is predicted to be16, 57: EA EX ¼ ETb + ΔE
(6.3)
where ETb is the binding energy of trions and ΔE is the average energy needed to add one carrier into the free carrier system. The energy difference EA EX represents the minimum energy for the removal of one electron (hole) from a negative (positive) trion. To convert a trion to an exciton, one of the two electrons (holes) in the negative (positive) trion will be unbound first (+ETb) and then added into the system (+ΔE). During PL excitation, the same number of electrons and holes will be injected into the conduction band and valence band, respectively. At low excitation power (power close to zero), the system is in an equilibrium state, and ΔE is approximately equal to Fermi energy, EF, that is determined at the initial doping level. At higher PL excitation power with more carrier injection, the initial doping becomes less important because of the enhanced screening effect from injected photocarriers. In most conventional PL measurements with very high excitation power,12, 17, 58 ΔE can be neglected and the trion binding energy can be approximately taken as the energy difference EA EX. However, at a very low power range, the unique effect of ΔE cannot be observed. During the experiment, the start power excitation was set at 0.19 μW, which has an injected photocarrier concentration comparable to the initial doping level. With increasing excitation power, the energy difference EA EX decreased, indicating a reduction of ΔE. At a high excitation power (1.15 μW), the initial doping becomes less important and ΔE can be approximately neglected; the energy difference EA EX of 100 meV at a high excitation power (1.15 μW) can be taken to be the upper limit of the trion binding energy in a monolayer BP. This value agrees well with the estimated trion binding energy in monolayer BP of ETb 0.3Eb,51 and the calculated exciton binding energy in a monolayer BP on SiO2/Si substrate was Eb 0.3 eV.11 In a monolayer BP, both positive and negative trions are expected to have similar binding energies, since the effective masses of electrons and holes are almost equal.8, 11 By electrically injecting free carriers into a trilayer BP sample in a fieldeffect transistor (FET) structure, we have also observed the tuning of exciton and trion emission, and the measured trion binding energy in the trilayer BP was around 170 meV.
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6.4 Potential applications Due to its exceptionally unique properties compared to other 2D materials, few-layer BP has been proposed for various photonic and optoelectronic applications, including FETs,1, 59, 60 photodetectors,36, 61, 62 photovoltaic devices,63–65 and saturable absorbers.66–68 For example, Li et al. demonstrated the first FET device with few-layer BP and measured the carrier mobility to be 1000 cm2 V1 s1 and the on/off ratio to be 105.1 This first demonstration of thin-layer BP integrated into FET devices showed BP’s potential to be applied to the semiconductor industry. Youngblood et al. fabricated the waveguide-integrated BP photodetector with high responsivity, high response speed, and low dark current in the telecom band.36 The measured intrinsic photoresponsivity can be up to 657 mA W1 with a BP thickness of 100 nm, with the operating bandwidth exceeding 3 GHz. As BP is a direct bandgap semiconductor, it has been tested for photovoltaic applications. Buscema et al. fabricated a BP PN junction defined by local electrostatic doping and successfully observed the photovoltaic effect. One advantage of this BP photovoltaic device is that it realizes photoenergy harvesting in the near-IR range due to the intrinsic bandgap of few-layer BP. And lastly, BP has been intensively studied for saturable absorber applications for laser operation. Chen et al. demonstrated that mechanically exfoliated BP can be used as a new saturable absorber for Q-switching and mode-locking laser operation.66 The aforementioned various applications of BP are merely examples of the broad-range IR to mid-IR applications that BP can be potentially integrated into. With the direct bandgap from monolayer to bulk and the strong anisotropic property, BP can certainly be extended to other relevant applications. It should be noted that most of the demonstrated applications are still in the laboratory prototype state; more research effort needs to be put in for field applications.
6.5 Conclusion In this chapter, we have discussed light-matter interactions in BP by focusing on Raman and PL spectroscopy. Temperature- and angle-dependent Raman spectroscopy were used on few-layer BP samples to detect their fine structure and crystalline orientation, and the layer- and power-dependent PL measurements were used to determine the band structure and exciton and trion dynamics of thin-layer BP. By analyzing the different vibration modes in Raman spectra, the fine structure and other properties such as
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crystalline orientation can be further understood. Temperature-dependent Raman spectroscopy on thin-layer BP indicates that phonon frequencies in few-layer BP are more sensitive to temperature modulation than those in graphene and MoS2, which could be due to the superior mechanical flexibility of BP originating from its unique puckered crystal structure. Angle-dependent Raman measurements give another quick and nondestructive way to determine the crystalline orientation of thin-layer BP. PL measurements can help understand the band structure of BP, and exciton and trion dynamics can be detected by optical or electrical tuning in PL measurements. In this chapter, few-layer BP was characterized by PL measurements, and its layer-dependent PL peaks clearly indicate the layer-dependent bandgaps. Besides, exciton and trion dynamics were detected by means of PL measurements with optical tuning, and trion binding energy was measured to be 100 meV, larger than that of TMD materials, possibly due to the quasi-1D nature of exciton and trion in BP. In the last part of this chapter, we have briefly introduced the potential applications of BP. With its unique anisotropic properties, BP can be integrated into various photonic and optoelectronic applications.
References 1. Li, L.; Yu, Y.; Ye, G. J.; Ge, Q.; Ou, X.; Wu, H.; Feng, D.; Chen, X. H.; Zhang, Y. Black Phosphorus Field-Effect Transistors. Nat. Nanotechnol. 2014, 9(5), 372–377. 2. Xia, F.; Wang, H.; Jia, Y. Rediscovering Black Phosphorus as an Anisotropic Layered Material for Optoelectronics and Electronics. Nat. Commun. 2014, 5. 3. Fei, R.; Yang, L. Strain-Engineering the Anisotropic Electrical Conductance of FewLayer Black Phosphorus. Nano Lett. 2014, 14(5), 2884–2889. 4. Na, J.; Lee, Y. T.; Lim, J. A.; Hwang, D. K.; Kim, G.-T.; Choi, W. K.; Song, Y.-W. Few-Layer Black Phosphorus Field-Effect Transistors With Reduced Current Fluctuation. ACS Nano 2014, 8(11), 11753–11762. 5. Wood, J. D.; Wells, S. A.; Jariwala, D.; Chen, K.-S.; Cho, E.; Sangwan, V. K.; Liu, X.; Lauhon, L. J.; Marks, T. J.; Hersam, M. C. Effective Passivation of Exfoliated Black Phosphorus Transistors against Ambient Degradation. Nano Lett. 2014, 14(12), 6964–6970. 6. Mao, N.; Tang, J.; Xie, L.; Wu, J.; Han, B.; Lin, J.; Deng, S.; Ji, W.; Xu, H.; Liu, K.; Tong, L.; Zhang, J. Optical Anisotropy of Black Phosphorus in the Visible Regime. J. Am. Chem. Soc. 2016, 138(1), 300–305. 7. Xu, R.; Yang, J.; Zhu, Y.; Yan, H.; Pei, J.; Myint, Y. W.; Zhang, S.; Lu, Y. LayerDependent Surface Potential of Phosphorene and Anisotropic/Layer-Dependent Charge Transfer in Phosphorene-Gold Hybrid Systems. Nanoscale 2016, 8(1), 129–135. 8. Qiao, J.; Kong, X.; Hu, Z.-X.; Yang, F.; Ji, W. High-Mobility Transport Anisotropy and Linear Dichroism in Few-Layer Black Phosphorus. Nat. Commun. 2014, 5. 9. Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y. Extraordinary Photoluminescence and Strong
170
10. 11. 12.
13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23.
24. 25. 26.
27.
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Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590–9596. Yang, J.; Xu, R.; Pei, J.; Myint, Y. W.; Wang, F.; Wang, Z.; Zhang, S.; Yu, Z.; Lu, Y. Optical Tuning of Exciton and Trion Emissions in Monolayer Phosphorene. Light Sci. Appl. 2015, 4, e312. Tran, V.; Soklaski, R.; Liang, Y.; Yang, L. Layer-Controlled Band Gap and Anisotropic Excitons in Few-Layer Black Phosphorus. Phys. Rev. B 2014, 89(23), 235319. Xu, R.; Zhang, S.; Wang, F.; Yang, J.; Wang, Z.; Pei, J.; Myint, Y. W.; Xing, B.; Yu, Z.; Fu, L.; Qin, Q.; Lu, Y. Extraordinarily Bound Quasi-One-Dimensional Trions in Two-Dimensional Phosphorene Atomic Semiconductors. ACS Nano 2016, 10(2), 2046–2053. Wang, X.; Jones, A. M.; Seyler, K. L.; Tran, V.; Jia, Y.; Zhao, H.; Wang, H.; Yang, L.; Xu, X.; Xia, F. Highly Anisotropic and Robust Excitons in Monolayer Black Phosphorus. Nat. Nanotechnol. 2015, 10(6), 517–521. Geim, A. K.; Novoselov, K. S. The Rise of Graphene. Nat. Mater. 2007, 6(3), 183–191. Radisavljevic, B.; Radenovic, A.; Brivio, J.; Giacometti, V.; Kis, A. Single-Layer MoS2 Transistors. Nat. Nanotechnol. 2011, 6(3), 147–150. Mak, K. F.; He, K.; Lee, C.; Lee, G. H.; Hone, J.; Heinz, T. F.; Shan, J. Tightly Bound Trions in Monolayer MoS2. Nat. Mater. 2013, 12(3), 207–211. Ross, J. S.; Wu, S.; Yu, H.; Ghimire, N. J.; Jones, A. M.; Aivazian, G.; Yan, J.; Mandrus, D. G.; Xiao, D.; Yao, W.; Xu, X. Electrical Control of Neutral and Charged Excitons in a Monolayer Semiconductor. Nat. Commun. 2013, 4, 1474. Rodin, A. S.; Carvalho, A.; Castro Neto, A. H. Excitons in Anisotropic TwoDimensional Semiconducting Crystals. Phys. Rev. B 2014, 90(7), 075429. Ling, X.; Liang, L.; Huang, S.; Puretzky, A. A.; Geohegan, D. B.; Sumpter, B. G.; Kong, J.; Meunier, V.; Dresselhaus, M. S. Low-Frequency Interlayer Breathing Modes in Few-Layer Black Phosphorus. Nano Lett. 2015, 15(6), 4080–4088. Ribeiro, H. B.; Pimenta, M. A.; de Matos, C. J. S.; Moreira, R. L.; Rodin, A. S.; Zapata, J. D.; de Souza, E. A. T.; Castro Neto, A. H. Unusual Angular Dependence of the Raman Response in Black Phosphorus. ACS Nano 2015, 9(4), 4270–4276. Viti, L.; Hu, J.; Coquillat, D.; Knap, W.; Tredicucci, A.; Politano, A.; Vitiello, M. S. Black Phosphorus Terahertz Photodetectors. Adv. Mater. 2015, 27(37), 5567–5572. Yasaei, P.; Kumar, B.; Foroozan, T.; Wang, C.; Asadi, M.; Tuschel, D.; Indacochea, J. E.; Klie, R. F.; Salehi-Khojin, A. High-Quality Black Phosphorus Atomic Layers by Liquid-Phase Exfoliation. Adv. Mater. 2015, 27(11), 1887–1892. Lu, W.; Ma, X.; Fei, Z.; Zhou, J.; Zhang, Z.; Jin, C.; Zhang, Z. Probing the Anisotropic Behaviors of Black Phosphorus by Transmission Electron Microscopy, AngularDependent Raman Spectra, and Electronic Transport Measurements. Appl. Phys. Lett. 2015, 107(2), 021906. Pei, J.; Gai, X.; Yang, J.; Wang, X.; Yu, Z.; Choi, D.-Y.; Luther-Davies, B.; Lu, Y. Producing Air-Stable Monolayers of Phosphorene and Their Defect Engineering. Nat. Commun. 2016, 7, 10450. Xu, R.; Yang, J.; Myint, Y. W.; Pei, J.; Yan, H.; Wang, F.; Lu, Y. Exciton Brightening in Monolayer Phosphorene via Dimensionality Modification. Adv. Mater. 2016, 28(18), 3493–3498. Andres, C.-G.; Leonardo, V.; Elsa, P.; Joshua, O. I.; Narasimha-Acharya, K. L.; Sofya, I. B.; Dirk, J. G.; Michele, B.; Gary, A. S.; Alvarez, J. V.; Henny, W. Z.; Palacios, J. J.; van der Zant, H. S. J. Isolation and Characterization of Few-Layer Black Phosphorus. 2D Mater. 2014, 1(2), 025001. Favron, A.; Gaufres, E.; Fossard, F.; Phaneuf-Lheureux, A.-L.; Tang, N. Y. W.; Levesque, P. L.; Loiseau, A.; Leonelli, R.; Francoeur, S.; Martel, R. Photooxidation
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30.
31. 32. 33. 34.
35. 36. 37. 38.
39.
40. 41. 42.
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and Quantum Confinement Effects in Exfoliated Black Phosphorus. Nat. Mater. 2015, 14(8), 826–832. Kang, J.; Wood, J. D.; Wells, S. A.; Lee, J.-H.; Liu, X.; Chen, K.-S.; Hersam, M. C. Solvent Exfoliation of Electronic-Grade, Two-Dimensional Black Phosphorus. ACS Nano 2015, 9(4), 3596–3604. Doganov, R. A.; O’Farrell, E. C. T.; Koenig, S. P.; Yeo, Y.; Ziletti, A.; Carvalho, A.; Campbell, D. K.; Coker, D. F.; Watanabe, K.; Taniguchi, T.; Neto, A. H. C.; Ozyilmaz, B. Transport Properties of Pristine Few-Layer Black Phosphorus by van der Waals Passivation in an Inert Atmosphere. Nat. Commun. 2015, 6. Li, L.; Kim, J.; Jin, C.; Ye, G. J.; Qiu, D. Y.; da Jornada, F. H.; Shi, Z.; Chen, L.; Zhang, Z.; Yang, F.; Watanabe, K.; Taniguchi, T.; Ren, W.; Louie, S. G.; Chen, X. H.; Zhang, Y.; Wang, F. Direct Observation of the Layer-Dependent Electronic Structure in Phosphorene. Nat. Nanotechnol. 2016, 12, 21. Cai, Y.; Zhang, G.; Zhang, Y.-W. Layer-Dependent Band Alignment and Work Function of Few-Layer Phosphorene. Sci. Rep. 2014, 4, 6677. Novoselov, K. S.; Geim, A. K.; Morozov, S. V.; Jiang, D.; Katsnelson, M. I.; Grigorieva, I. V.; Dubonos, S. V.; Firsov, A. A. Two-Dimensional Gas of Massless Dirac Fermions in Graphene. Nature 2005, 438(7065), 197–200. Mak, K. F.; Lee, C.; Hone, J.; Shan, J.; Heinz, T. F. Atomically Thin MoS2: A New Direct-Gap Semiconductor. Phys. Rev. Lett. 2010, 105(13), 136805. Zhang, Y.; Chang, T.-R.; Zhou, B.; Cui, Y.-T.; Yan, H.; Liu, Z.; Schmitt, F.; Lee, J.; Moore, R.; Chen, Y.; Lin, H.; Jeng, H.-T.; Mo, S.-K.; Hussain, Z.; Bansil, A.; Shen, Z.-X. Direct Observation of the Transition From Indirect to Direct Bandgap in Atomically Thin Epitaxial MoSe2. Nat. Nanotechnol. 2014, 9(2), 111–115. Zhao, W.; Ghorannevis, Z.; Chu, L.; Toh, M.; Kloc, C.; Tan, P.-H.; Eda, G. Evolution of Electronic Structure in Atomically Thin Sheets of WS2 and WSe2. ACS Nano 2013, 7(1), 791–797. Youngblood, N.; Chen, C.; Koester, S. J.; Li, M. Waveguide-Integrated Black Phosphorus Photodetector With High Responsivity and Low Dark Current. Nat. Photonics 2015, 9(4), 247–252. Zhang, B.; Lou, F.; Zhao, R.; He, J.; Li, J.; Su, X.; Ning, J.; Yang, K. Exfoliated Layers of Black Phosphorus as Saturable Absorber for Ultrafast Solid-State Laser. Opt. Lett. 2015, 40(16), 3691–3694. Hanlon, D.; Backes, C.; Doherty, E.; Cucinotta, C. S.; Berner, N. C.; Boland, C.; Lee, K.; Harvey, A.; Lynch, P.; Gholamvand, Z.; Zhang, S.; Wang, K.; Moynihan, G.; Pokle, A.; Ramasse, Q. M.; McEvoy, N.; Blau, W. J.; Wang, J.; Abellan, G.; Hauke, F.; Hirsch, A.; Sanvito, S.; O’Regan, D. D.; Duesberg, G. S.; Nicolosi, V.; Coleman, J. N. Liquid Exfoliation of Solvent-Stabilized Few-Layer Black Phosphorus for Applications Beyond Electronics. Nat. Commun. 2015, 6. Guo, Z.; Zhang, H.; Lu, S.; Wang, Z.; Tang, S.; Shao, J.; Sun, Z.; Xie, H.; Wang, H.; Yu, X.-F.; Chu, P. K. From Black Phosphorus to Phosphorene: Basic Solvent Exfoliation, Evolution of Raman Scattering, and Applications to Ultrafast Photonics. Adv. Funct. Mater. 2015, 25(45), 6996–7002. Zhao, Y.; Luo, X.; Li, H.; Zhang, J.; Araujo, P. T.; Gan, C. K.; Wu, J.; Zhang, H.; Quek, S. Y.; Dresselhaus, M. S.; Xiong, Q. Interlayer Breathing and Shear Modes in Few-Trilayer MoS2 and WSe2. Nano Lett. 2013, 13(3), 1007–1015. Li, S.-L.; Miyazaki, H.; Song, H.; Kuramochi, H.; Nakaharai, S.; Tsukagoshi, K. Quantitative Raman Spectrum and Reliable Thickness Identification for Atomic Layers on Insulating Substrates. ACS Nano 2012, 6(8), 7381–7388. Postmus, C.; Ferraro, J. R.; Mitra, S. S. Pressure Dependence of Infrared Eigenfrequencies of KCl and KBr. Phys. Rev. 1968, 174(3), 983–987.
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43. Calizo, I.; Balandin, A. A.; Bao, W.; Miao, F.; Lau, C. N. Temperature Dependence of the Raman Spectra of Graphene and Graphene Multilayers. Nano Lett. 2007, 7(9), 2645–2649. 44. Sahoo, S.; Gaur, A. P. S.; Ahmadi, M.; Guinel, M. J. F.; Katiyar, R. S. TemperatureDependent Raman Studies and Thermal Conductivity of Few-Layer MoS2. J. Phys. Chem. C 2013, 117(17), 9042–9047. 45. Wei, Q.; Peng, X. Superior Mechanical Flexibility of Phosphorene and Few-Layer Black Phosphorus. Appl. Phys. Lett. 2014, 104(25), 251915. 46. Yin, X.; Ye, Z.; Chenet, D. A.; Ye, Y.; O’Brien, K.; Hone, J. C.; Zhang, X. Edge Nonlinear Optics on a MoS2 Atomic Monolayer. Science 2014, 344(6183), 488–490. 47. Sugai, S.; Shirotani, I. Raman and Infrared Reflection Spectroscopy in Black Phosphorus. Solid State Commun. 1985, 53(9), 753–755. 48. Liu, H.; Neal, A. T.; Zhu, Z.; Luo, Z.; Xu, X.; Toma´nek, D.; Ye, P. D. Phosphorene: An Unexplored 2D Semiconductor With a High Hole Mobility. ACS Nano 2014, 8(4), 4033–4041. 49. Lu, J.; Yang, J.; Carvalho, A.; Liu, H.; Lu, Y.; Sow, C. H. Light–Matter Interactions in Phosphorene. Acc. Chem. Res. 2016, 49(9), 1806–1815. 50. Liang, L.; Wang, J.; Lin, W.; Sumpter, B. G.; Meunier, V.; Pan, M. Electronic Bandgap and Edge Reconstruction in Phosphorene Materials. Nano Lett. 2014, 14(11), 6400–6406. 51. Thilagam, A. Two-Dimensional Charged-Exciton Complexes. Phys. Rev. B 1997, 55(12), 7804–7808. 52. Keyes, R. W. The Electrical Properties of Black Phosphorus. Phys. Rev. 1953, 92(3), 580–584. 53. Wigner, E. On the Interaction of Electrons in Metals. Phys. Rev. 1934, 46(11), 1002–1011. 54. Miyauchi, Y.; Iwamura, M.; Mouri, S.; Kawazoe, T.; Ohtsu, M.; Matsuda, K. Brightening of Excitons in Carbon Nanotubes on Dimensionality Modification. Nat. Photonics 2013, 7(9), 715–719. 55. Iwamura, M.; Akizuki, N.; Miyauchi, Y.; Mouri, S.; Shaver, J.; Gao, Z.; Cognet, L.; Lounis, B.; Matsuda, K. Nonlinear Photoluminescence Spectroscopy of Carbon Nanotubes With Localized Exciton States. ACS Nano 2014, 8(11), 11254–11260. 56. Wang, H.; Zhang, C.; Chan, W.; Manolatou, C.; Tiwari, S.; Rana, F. Radiative Lifetimes of Excitons and Trions in Monolayers of the Metal Dichalcogenide MoS2. Phys. Rev. B 2016, 93(4), 045407. 57. Huard, V.; Cox, R. T.; Saminadayar, K.; Arnoult, A.; Tatarenko, S. Bound States in Optical Absorption of Semiconductor Quantum Wells Containing a Two-Dimensional Electron Gas. Phys. Rev. Lett. 2000, 84(1), 187–190. 58. Kheng, K.; Cox, R. T.; d’ Aubigne, M. Y.; Bassani, F.; Saminadayar, K.; Tatarenko, S. Observation of Negatively Charged Excitons X- in Semiconductor Quantum Wells. Phys. Rev. Lett. 1993, 71(11), 1752–1755. 59. Avsar, A.; Vera-Marun, I. J.; Tan, J. Y.; Watanabe, K.; Taniguchi, T.; Castro € Neto, A. H.; Ozyilmaz, B. Air-Stable Transport in Graphene-Contacted, Fully Encapsulated Ultrathin Black Phosphorus-Based Field-Effect Transistors. ACS Nano 2015, 9(4), 4138–4145. 60. Buscema, M.; Groenendijk, D. J.; Blanter, S. I.; Steele, G. A.; van der Zant, H. S. J.; Castellanos-Gomez, A. Fast and Broadband Photoresponse of Few-Layer Black Phosphorus Field-Effect Transistors. Nano Lett. 2014, 14(6), 3347–3352. 61. Engel, M.; Steiner, M.; Avouris, P. Black Phosphorus Photodetector for Multispectral, High-Resolution Imaging. Nano Lett. 2014, 14(11), 6414–6417. 62. Yuan, H.; Liu, X.; Afshinmanesh, F.; Li, W.; Xu, G.; Sun, J.; Lian, B.; Curto, A. G.; Ye, G.; Hikita, Y.; Shen, Z.; Zhang, S.-C.; Chen, X.; Brongersma, M.;
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63. 64.
65. 66.
67. 68.
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Hwang, H. Y.; Cui, Y. Polarization-Sensitive Broadband Photodetector Using a Black Phosphorus Vertical p–n Junction. Nat. Nanotechnol. 2015, 10, 707. Buscema, M.; Groenendijk, D. J.; Steele, G. A.; van der Zant, H. S. J.; CastellanosGomez, A. Photovoltaic Effect in Few-Layer Black Phosphorus PN Junctions Defined by Local Electrostatic Gating. Nat. Commun. 2014, 5, 4651. Shenghuang, L.; Shenghua, L.; Zhibin, Y.; Yanyong, L.; Wai, N. T.; Zaiquan, X.; Qiaoliang, B.; Jianhua, H.; Chun-Sing, L.; Charles, S.; Feng, Y.; Ping, L. S. Solution-Processable Ultrathin Black Phosphorus as an Effective Electron Transport Layer in Organic Photovoltaics. Adv. Funct. Mater. 2016, 26(6), 864–871. Yuanda, L.; Yongqing, C.; Gang, Z.; Yong-Wei, Z.; Kah-Wee, A. Al-Doped Black Phosphorus p–n Homojunction Diode for High Performance Photovoltaic. Adv. Funct. Mater. 2017, 27(7), 1604638. Chen, Y.; Jiang, G.; Chen, S.; Guo, Z.; Yu, X.; Zhao, C.; Zhang, H.; Bao, Q.; Wen, S.; Tang, D.; Fan, D. Mechanically Exfoliated Black Phosphorus as a New Saturable Absorber for Both Q-Switching and Mode-Locking Laser Operation. Opt. Express 2015, 23(10), 12823–12833. Sotor, J.; Sobon, G.; Macherzynski, W.; Paletko, P.; Abramski, K. M. Black Phosphorus Saturable Absorber for Ultrashort Pulse Generation. Appl. Phys. Lett. 2015, 107(5), 051108. Luo, Z.-C.; Liu, M.; Guo, Z.-N.; Jiang, X.-F.; Luo, A.-P.; Zhao, C.-J.; Yu, X.-F.; Xu, W.-C.; Zhang, H. Microfiber-Based Few-Layer Black Phosphorus Saturable Absorber for Ultra-Fast Fiber Laser. Opt. Express 2015, 23(15), 20030–20039.
Black phosphorus: Light-matter interactions and potential applications Jiong Yang, Yuerui Lu Research School of Engineering, College of Engineering and Computer Science, Australian National University, Canberra, ACT, Australia
6.1 Introduction Black phosphorus (BP) is a recently rediscovered two-dimensional (2D) material that has attracted tremendous attention owing to its unique anisotropic manner,1–7 layer-dependent direct bandgaps,8–10 and quasi-onedimensional (1D) excitonic nature,11–13 which are all in drastic contrast with the properties of other 2D materials, such as graphene14 and transition metal dichalcogenide (TMD) semiconductors.15–17 Monolayer BP has been of particular interest in investigating fundamental physics, such as 2D quantum confinement and many-body interactions,11, 18 and exploring advanced photonic and optoelectronic applications. Light-matter interaction in BP is extraordinarily strong. The anisotropic nature of BP that originates from its puckering structure has been characterized by Raman spectroscopy.2, 6, 13, 19–23 Exciton and trion properties in BP have also been characterized by photoluminescence (PL) spectroscopy.10, 12, 24, 25 Regardless of the fact that it is unstable in ambient conditions and degrades quickly,5, 9, 24, 26–29 BP owns one intriguing property, i.e., the layer-dependent direct bandgap in the infrared range.9–11, 24, 30, 31 With this unique property, BP can bridge the zero-bandgap graphene14, 32 and comparatively large-bandgap TMD semiconductors,33–35 leading it to potential applications in the infrared regime, such as infrared photodetectors and absorbers.21, 36–39 Besides, unlike TMD semiconductors that show an indirect-to-indirect bandgap transition only when the layer number is thinned down to monolayer,33–35 BP is a direct bandgap semiconductor from monolayer to its bulk form,5, 9, 30 resulting in high internal quantum efficiency and making it a promising candidate for future optoelectronic applications. In this chapter, we focus on the
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light-matter interactions in BP by analyzing its Raman and PL measurements, and we also discuss its potential photonic and optoelectronic applications.
6.2 Raman spectroscopy Raman spectroscopy is a powerful tool to characterize the structural and electronic properties of few-layer BP. In particular, temperature-dependent Raman spectroscopy can help further understand the fine structure and properties of the material, such as atomic bonds, thermal expansion, and thermal conductivity.9 Angle-dependent Raman measurements can quickly determine the crystalline orientation of a BP flake due to its strong anisotropic nature. Besides, Favron et al. also experimentally demonstrated that Raman spectroscopy could be used to identify the layer number of few-layer BP.27 Different from the situation in TMD semiconductors, where the A1g and E2g1 modes keep blue- and red-shifting with the layer number from bulk to monolayer, respectively,40, 41 the Ag2 mode exhibits redshift from bulk to bilayer BP and then blueshift when the layer number is further thinned down to monolayer. This peculiar trend may be caused by the combination of two out-of-phase monolayer infrared modes in bilayer BP that generates a new Raman-allowed mode near the Ag2 frequency. Furthermore, the ratio between the intensity of Ag1 and Si peak in Raman spectroscopy can also be used to roughly identify the layer number of BP samples.26, 27
6.2.1 Temperature-dependent Raman spectroscopy Temperature-dependent Raman study for few-layer BP is important to further understand the fine structure and properties of the material, such as atomic bonds, thermal expansion, and thermal conductivity. The temperature dependence of the Raman spectra, measured at temperature ranging from 20°C to –160°C in a 5 L BP, is shown in Fig. 6.1. The decreasing temperature leads to the blueshift of the Raman phonon modes, Ag1, B2g, and Ag2. The measured temperature dependence of the Raman mode frequency shift in few-layer BP can be characterized by a linear equation: ω ¼ ω0 + χT
(6.1)
where ω0 is the mode frequency at 0 K and χ is the first-order temperature coefficient. The measured χ values for modes Ag1, B2g, and Ag2 in a 5 L BP are 0.023, 0.018, and 0.023 cm1/°C, respectively (Fig. 6.1B). The change of the Raman shift with temperature is determined by the anharmonic terms in the lattice potential energy, which is related to the anharmonic
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Fig. 6.1 Temperature-dependent Raman spectra of 5 L BP. (A) Raman spectra of 5 L BP at temperature ranging from 20°C to 160°C. (B) Temperature dependence of Ag1, B2g, and Ag2 Raman peak positions. Adapted with permission from Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y., Extraordinary Photoluminescence and Strong Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590-9596.
potential constants, the phonon occupation number, and the thermal expansion of the crystal.42 These measured χ values in 5 L BP are all larger in absolute value than those from both bilayer graphene (0.0154 cm1/°C for G peak)43 and few-layer MoS2 (0.0123 and 0.0132 cm1/°C for A1g and E2g1 modes, respectively).44 This indicates that phonon frequencies in few-layer BP are more sensitive to temperature modulation than those in graphene and MoS2, which could be due to the superior mechanical flexibility of BP originating from its unique puckered crystal structure.45
6.2.2 Angle-dependent Raman spectroscopy Compared with other 2D materials, BP shows strong anisotropic properties, allowing for various unique applications in optoelectronics. Normally, TEM is used to analyze the crystalline orientation of crystals. But the high-energy electrons in TEM are likely to introduce lots of defects in BP, which can expedite the reaction of BP with moisture and other possible reactants from the environment.26 Thus, it is important to develop optical means to characterize the crystalline properties. It has been recently shown that secondharmonic generation is used to determine the crystalline orientation of MoS2.46 Both polarized reflection spectroscopy1 and polarized IR spectroscopy2 are capable of providing simple and nondestructive optical way to
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determine the crystalline orientation of BP. Angle-dependent Raman spectroscopy is an even simpler optical means to determine the crystalline orientation of BP. This process is critically important as it has minimal damage to BP and significantly shortened the time of characterization, allowing for more accurate analysis of intrinsic BP properties. Linearly polarized Raman measurements were performed to quickly determine the crystalline orientation of a BP flake (15 L) (Fig. 6.2). The normally incident laser was in the z-direction. The polarization angle θ is relative to the zero-degree reference, which can be arbitrarily selected at the
Fig. 6.2 BP crystalline orientation determination by polarization Raman spectra. (A) Raman spectra of 15 L BP under different polarization angles. (B) Polarization dependence of Ag1, Ag2, B2g modes in 15 L BP and the Raman peaks in silicon. (C) Schematic plot showing vibration directions of Ag1, Ag2, B2g Raman modes. (D) Crystalline orientation of the 15 L BP flake, determined by angle-dependent Raman measurement. Adapted with permission from Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y., Extraordinary Photoluminescence and Strong Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590-9596.
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beginning. Raman intensities of B2g and Ag2 were observed to be significantly dependent on the polarization angle (Fig. 6.2A). The angledependent intensities of B2g and Ag2 modes both show an angle period of 180 degree and are out of phase (Fig. 6.2B). The Raman intensity of Ag1 is less sensitive to the polarization angle (Fig. 6.2B). The measurement results can be perfectly explained by the vibration directions of these three Raman modes in crystalline BP. Fig. 6.2C shows a schematic of the vibration direction of phosphorus atoms in different Raman modes.47 In Ag2, B2g, and Ag1 vibrational modes, phosphorus atoms oscillate along the x (zigzag), y (armchair), and z (out-of-plane) directions, respectively. When laser polarization is parallel to x-direction (y-direction), the intensity of the Ag2 mode will reach the maximum (minimum) value; meanwhile, the intensity of the B2g mode will reach the minimum (maximum) value. Based on this polarization-dependent Raman measurement, the crystalline orientation of this 15 L BP flake was quickly determined, as indicated in Fig. 6.2D. This technique provides a fast and precise determination of crystalline orientation, without the need of complicated and high-resolution imaging systems, such as STM or TEM.
6.3 PL measurements PL spectroscopy is a useful tool to characterize the electronic band structure of 2D materials, and it utilizes the interactions between laser photons and electrons/holes inside the measured material. Since the first rediscovery of BP, PL spectroscopy with different functionalities has been used to analyze it, including its optical bandgap, anisotropic nature, oxidation and degradation, and its exciton and trion dynamics.9, 10, 12, 24, 25, 48, 49
6.3.1 Layer-dependent PL Because of the strongly layer-dependent peak energies and the direct bandgap nature of BP, layer number identification can be further confirmed by measuring their corresponding peak energies of PL emission (Fig. 6.3). Fig. 6.3A shows the normalized PL spectra of the mono- to five-layer BP samples. The emission peak of the PL spectrum for a monolayer BP is at 711 nm, corresponding to a peak energy of 1.75 eV. This PL peak energy value was measured at 10°C, and it is expected not to vary too much at room temperature. Combining the results of previous work on few-layer BP (2 to 5 L)9 with the results obtained from recent samples (1 to 5 L),10 it can be clearly observed that the peak energy of PL emission shows unambiguous
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Fig. 6.3 PL characteristics of mono- and few-layer BP. (A) PL spectra of the mono- to five-layer BP samples. Each PL spectrum is normalized to its peak intensity and system background. (B) Evolution of PL peak energy with layer number of BP from experimental PL spectra, showing a rapid increase in peak energy as the layer number decreases. The solid gray line is the fitting curve Eopt ¼1.486/N0.686 + 0.295, where Eopt is the optical gap in unit of eV and N is the layer number. Inset: energy diagram showing the electronic bandgap (Eg) and the exciton binding energy (Eb).
layer dependence (Fig. 6.3B). For each layer number, at least three samples were characterized; the measured peak energies for 1 to 5 L BP were 1.75 0.04, 1.29 0.03, 0.97 0.02, 0.840.02, and 0.800.02 eV, respectively. The PL emission energy of BP samples with higher layer numbers (>5) is beyond the measurement wavelength range (up to 1600 nm) of a normal PL system. The peak energy of PL emission, also termed as optical gap (Eopt), is the difference between electronic bandgap (Ea) and exciton binding energy (Eb) (Fig. 6.3B inset). Owing to the strong quantum confinement effect, freestanding monolayer BP is expected to have a large exciton binding energy of 0.8 eV,11, 18 whereas this value is expected to be only 0.3 eV for monolayer BP on an SiO2/Si substrate because of increased screening from the substrate. Using the measured electronic energy gap of 2.05 eV from Pan et al.50 and the measured optical gap of 1.75 eV in monolayer BP, the exciton binding energy of a monolayer BP on SiO2/Si substrate was determined to be 0.3 eV, which agrees very well with the prediction.18 The optical gaps in BP increase rapidly with decreasing layer number because of the strong quantum confinement effect and the van der Waals interactions between neighboring sheets in few-layer BP.11, 51 A power law form was used to fit the experimental data and obtain the fitting curve of
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Eopt ¼ 1:486=N 0:686 + 0:295
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(6.2)
where Eopt is the optical gap in unit of eV and N is the layer number (Fig. 6.3B). The layer-dependent optical gaps, as indicated in Fig. 6.3B, agree very well with theoretical predictions.8, 11 For bulk BP sample with large N value, its optical gap approaches the limit value of 0.295 eV, which matches very well with the measured energy gap (0.3 eV) of bulk BP.1, 52 Previously, Ye et al.5 observed bright exciton PL emission at 1.45 eV from a monolayer BP that was coated with a layer of PMMA. This protective layer might introduce some defect states to the sample, which could change PL emission energy.
6.3.2 Power-dependent PL The dynamics of excitons and trions have been of considerable interest for fundamental studies of many-body interactions, such as carrier multiplication and Wigner crystallization.53 Monolayer BP, whose excitons are predicted to be confined in a quasi-1D space, provide an ideal platform for investigating remarkable exciton and trion dynamics in a reduced dimension. Exciton and trion dynamics have been successfully probed in a monolayer BP by controlling the photocarrier injection in power-dependent PL measurements (Fig. 6.4). The measured PL spectra exhibited two clear peaks with central wavelengths at 705 nm (labeled “A”) and 760 nm (labeled “X”), whose intensities and peak positions are highly dependent on excitation power (Fig. 6.4A). After Lorentzian fitting of the measured PL spectra, the spectral components of these two peaks were extracted, indicated by red and blue curves in Fig. 6.4A. The intensity of higher-energy peak A increased almost linearly with laser power (Fig. 6.4B), while that of lower-energy peak X gradually saturated at a relatively high photocarrier injection. When the excitation power changed from 0.19 to 1.15 μW (Fig. 6.4C), the optical gap of A emission (EA) monotonically decreased by 15 meV, while that of X emission (EX) increased by 35 meV. The higher-energy peak A is attributed to exciton emission. The origin of peak X is particularly interesting. Experimental observations do not support that peak X comes from the emission of localized excitons. First, the energy difference between PL emissions from the localized and free excitons is not sensitive to the relatively low density of photocarrier injection.25, 54, 55 But in the experiment, this energy difference decreased significantly from 150 to 100 meV when the power of excitation laser increased from 0.19 to 1.15 μW. Furthermore, localized excitons are
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Fig. 6.4 Exciton and trion dynamics in monolayer phosphorene. (A) Measured PL spectra (solid gray lines) under various excitation laser power. PL spectra are fit to Lorentzians (solid red lines are exciton components, solid blue lines are trion components, and solid pink lines are the cumulative fitting results). (B) PL intensity of exciton (A) and trion (X) as a function of laser power. (C) PL peak energy of exciton (A) and trion (X) as a function of laser power.
expected to have a longer lifetime than free excitons because of the localization effect of squeezing an exciton in the zero-dimension-like state.54, 56 However, time-resolved PL measurements revealed that the carrier lifetime from X state is less than that from A state. Therefore, the origin of X state can be attributed to trions. The trion peak intensity saturates at high photocarrier injection (Fig. 6.4B) because the free carriers coming from initial doping are almost depleted during the formation of trions. The trion density estimated from optical injection is comparable to the estimated initial doping level of the monolayer BP sample.
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The difference between peak energies of exciton and trion PL emission is predicted to be16, 57: EA EX ¼ ETb + ΔE
(6.3)
where ETb is the binding energy of trions and ΔE is the average energy needed to add one carrier into the free carrier system. The energy difference EA EX represents the minimum energy for the removal of one electron (hole) from a negative (positive) trion. To convert a trion to an exciton, one of the two electrons (holes) in the negative (positive) trion will be unbound first (+ETb) and then added into the system (+ΔE). During PL excitation, the same number of electrons and holes will be injected into the conduction band and valence band, respectively. At low excitation power (power close to zero), the system is in an equilibrium state, and ΔE is approximately equal to Fermi energy, EF, that is determined at the initial doping level. At higher PL excitation power with more carrier injection, the initial doping becomes less important because of the enhanced screening effect from injected photocarriers. In most conventional PL measurements with very high excitation power,12, 17, 58 ΔE can be neglected and the trion binding energy can be approximately taken as the energy difference EA EX. However, at a very low power range, the unique effect of ΔE cannot be observed. During the experiment, the start power excitation was set at 0.19 μW, which has an injected photocarrier concentration comparable to the initial doping level. With increasing excitation power, the energy difference EA EX decreased, indicating a reduction of ΔE. At a high excitation power (1.15 μW), the initial doping becomes less important and ΔE can be approximately neglected; the energy difference EA EX of 100 meV at a high excitation power (1.15 μW) can be taken to be the upper limit of the trion binding energy in a monolayer BP. This value agrees well with the estimated trion binding energy in monolayer BP of ETb 0.3Eb,51 and the calculated exciton binding energy in a monolayer BP on SiO2/Si substrate was Eb 0.3 eV.11 In a monolayer BP, both positive and negative trions are expected to have similar binding energies, since the effective masses of electrons and holes are almost equal.8, 11 By electrically injecting free carriers into a trilayer BP sample in a fieldeffect transistor (FET) structure, we have also observed the tuning of exciton and trion emission, and the measured trion binding energy in the trilayer BP was around 170 meV.
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6.4 Potential applications Due to its exceptionally unique properties compared to other 2D materials, few-layer BP has been proposed for various photonic and optoelectronic applications, including FETs,1, 59, 60 photodetectors,36, 61, 62 photovoltaic devices,63–65 and saturable absorbers.66–68 For example, Li et al. demonstrated the first FET device with few-layer BP and measured the carrier mobility to be 1000 cm2 V1 s1 and the on/off ratio to be 105.1 This first demonstration of thin-layer BP integrated into FET devices showed BP’s potential to be applied to the semiconductor industry. Youngblood et al. fabricated the waveguide-integrated BP photodetector with high responsivity, high response speed, and low dark current in the telecom band.36 The measured intrinsic photoresponsivity can be up to 657 mA W1 with a BP thickness of 100 nm, with the operating bandwidth exceeding 3 GHz. As BP is a direct bandgap semiconductor, it has been tested for photovoltaic applications. Buscema et al. fabricated a BP PN junction defined by local electrostatic doping and successfully observed the photovoltaic effect. One advantage of this BP photovoltaic device is that it realizes photoenergy harvesting in the near-IR range due to the intrinsic bandgap of few-layer BP. And lastly, BP has been intensively studied for saturable absorber applications for laser operation. Chen et al. demonstrated that mechanically exfoliated BP can be used as a new saturable absorber for Q-switching and mode-locking laser operation.66 The aforementioned various applications of BP are merely examples of the broad-range IR to mid-IR applications that BP can be potentially integrated into. With the direct bandgap from monolayer to bulk and the strong anisotropic property, BP can certainly be extended to other relevant applications. It should be noted that most of the demonstrated applications are still in the laboratory prototype state; more research effort needs to be put in for field applications.
6.5 Conclusion In this chapter, we have discussed light-matter interactions in BP by focusing on Raman and PL spectroscopy. Temperature- and angle-dependent Raman spectroscopy were used on few-layer BP samples to detect their fine structure and crystalline orientation, and the layer- and power-dependent PL measurements were used to determine the band structure and exciton and trion dynamics of thin-layer BP. By analyzing the different vibration modes in Raman spectra, the fine structure and other properties such as
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crystalline orientation can be further understood. Temperature-dependent Raman spectroscopy on thin-layer BP indicates that phonon frequencies in few-layer BP are more sensitive to temperature modulation than those in graphene and MoS2, which could be due to the superior mechanical flexibility of BP originating from its unique puckered crystal structure. Angle-dependent Raman measurements give another quick and nondestructive way to determine the crystalline orientation of thin-layer BP. PL measurements can help understand the band structure of BP, and exciton and trion dynamics can be detected by optical or electrical tuning in PL measurements. In this chapter, few-layer BP was characterized by PL measurements, and its layer-dependent PL peaks clearly indicate the layer-dependent bandgaps. Besides, exciton and trion dynamics were detected by means of PL measurements with optical tuning, and trion binding energy was measured to be 100 meV, larger than that of TMD materials, possibly due to the quasi-1D nature of exciton and trion in BP. In the last part of this chapter, we have briefly introduced the potential applications of BP. With its unique anisotropic properties, BP can be integrated into various photonic and optoelectronic applications.
References 1. Li, L.; Yu, Y.; Ye, G. J.; Ge, Q.; Ou, X.; Wu, H.; Feng, D.; Chen, X. H.; Zhang, Y. Black Phosphorus Field-Effect Transistors. Nat. Nanotechnol. 2014, 9(5), 372–377. 2. Xia, F.; Wang, H.; Jia, Y. Rediscovering Black Phosphorus as an Anisotropic Layered Material for Optoelectronics and Electronics. Nat. Commun. 2014, 5. 3. Fei, R.; Yang, L. Strain-Engineering the Anisotropic Electrical Conductance of FewLayer Black Phosphorus. Nano Lett. 2014, 14(5), 2884–2889. 4. Na, J.; Lee, Y. T.; Lim, J. A.; Hwang, D. K.; Kim, G.-T.; Choi, W. K.; Song, Y.-W. Few-Layer Black Phosphorus Field-Effect Transistors With Reduced Current Fluctuation. ACS Nano 2014, 8(11), 11753–11762. 5. Wood, J. D.; Wells, S. A.; Jariwala, D.; Chen, K.-S.; Cho, E.; Sangwan, V. K.; Liu, X.; Lauhon, L. J.; Marks, T. J.; Hersam, M. C. Effective Passivation of Exfoliated Black Phosphorus Transistors against Ambient Degradation. Nano Lett. 2014, 14(12), 6964–6970. 6. Mao, N.; Tang, J.; Xie, L.; Wu, J.; Han, B.; Lin, J.; Deng, S.; Ji, W.; Xu, H.; Liu, K.; Tong, L.; Zhang, J. Optical Anisotropy of Black Phosphorus in the Visible Regime. J. Am. Chem. Soc. 2016, 138(1), 300–305. 7. Xu, R.; Yang, J.; Zhu, Y.; Yan, H.; Pei, J.; Myint, Y. W.; Zhang, S.; Lu, Y. LayerDependent Surface Potential of Phosphorene and Anisotropic/Layer-Dependent Charge Transfer in Phosphorene-Gold Hybrid Systems. Nanoscale 2016, 8(1), 129–135. 8. Qiao, J.; Kong, X.; Hu, Z.-X.; Yang, F.; Ji, W. High-Mobility Transport Anisotropy and Linear Dichroism in Few-Layer Black Phosphorus. Nat. Commun. 2014, 5. 9. Zhang, S.; Yang, J.; Xu, R.; Wang, F.; Li, W.; Ghufran, M.; Zhang, Y.-W.; Yu, Z.; Zhang, G.; Qin, Q.; Lu, Y. Extraordinary Photoluminescence and Strong
170
10. 11. 12.
13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23.
24. 25. 26.
27.
2D Materials for photonic and optoelectronic applications
Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene. ACS Nano 2014, 8(9), 9590–9596. Yang, J.; Xu, R.; Pei, J.; Myint, Y. W.; Wang, F.; Wang, Z.; Zhang, S.; Yu, Z.; Lu, Y. Optical Tuning of Exciton and Trion Emissions in Monolayer Phosphorene. Light Sci. Appl. 2015, 4, e312. Tran, V.; Soklaski, R.; Liang, Y.; Yang, L. Layer-Controlled Band Gap and Anisotropic Excitons in Few-Layer Black Phosphorus. Phys. Rev. B 2014, 89(23), 235319. Xu, R.; Zhang, S.; Wang, F.; Yang, J.; Wang, Z.; Pei, J.; Myint, Y. W.; Xing, B.; Yu, Z.; Fu, L.; Qin, Q.; Lu, Y. Extraordinarily Bound Quasi-One-Dimensional Trions in Two-Dimensional Phosphorene Atomic Semiconductors. ACS Nano 2016, 10(2), 2046–2053. Wang, X.; Jones, A. M.; Seyler, K. L.; Tran, V.; Jia, Y.; Zhao, H.; Wang, H.; Yang, L.; Xu, X.; Xia, F. Highly Anisotropic and Robust Excitons in Monolayer Black Phosphorus. Nat. Nanotechnol. 2015, 10(6), 517–521. Geim, A. K.; Novoselov, K. S. The Rise of Graphene. Nat. Mater. 2007, 6(3), 183–191. Radisavljevic, B.; Radenovic, A.; Brivio, J.; Giacometti, V.; Kis, A. Single-Layer MoS2 Transistors. Nat. Nanotechnol. 2011, 6(3), 147–150. Mak, K. F.; He, K.; Lee, C.; Lee, G. H.; Hone, J.; Heinz, T. F.; Shan, J. Tightly Bound Trions in Monolayer MoS2. Nat. Mater. 2013, 12(3), 207–211. Ross, J. S.; Wu, S.; Yu, H.; Ghimire, N. J.; Jones, A. M.; Aivazian, G.; Yan, J.; Mandrus, D. G.; Xiao, D.; Yao, W.; Xu, X. Electrical Control of Neutral and Charged Excitons in a Monolayer Semiconductor. Nat. Commun. 2013, 4, 1474. Rodin, A. S.; Carvalho, A.; Castro Neto, A. H. Excitons in Anisotropic TwoDimensional Semiconducting Crystals. Phys. Rev. B 2014, 90(7), 075429. Ling, X.; Liang, L.; Huang, S.; Puretzky, A. A.; Geohegan, D. B.; Sumpter, B. G.; Kong, J.; Meunier, V.; Dresselhaus, M. S. Low-Frequency Interlayer Breathing Modes in Few-Layer Black Phosphorus. Nano Lett. 2015, 15(6), 4080–4088. Ribeiro, H. B.; Pimenta, M. A.; de Matos, C. J. S.; Moreira, R. L.; Rodin, A. S.; Zapata, J. D.; de Souza, E. A. T.; Castro Neto, A. H. Unusual Angular Dependence of the Raman Response in Black Phosphorus. ACS Nano 2015, 9(4), 4270–4276. Viti, L.; Hu, J.; Coquillat, D.; Knap, W.; Tredicucci, A.; Politano, A.; Vitiello, M. S. Black Phosphorus Terahertz Photodetectors. Adv. Mater. 2015, 27(37), 5567–5572. Yasaei, P.; Kumar, B.; Foroozan, T.; Wang, C.; Asadi, M.; Tuschel, D.; Indacochea, J. E.; Klie, R. F.; Salehi-Khojin, A. High-Quality Black Phosphorus Atomic Layers by Liquid-Phase Exfoliation. Adv. Mater. 2015, 27(11), 1887–1892. Lu, W.; Ma, X.; Fei, Z.; Zhou, J.; Zhang, Z.; Jin, C.; Zhang, Z. Probing the Anisotropic Behaviors of Black Phosphorus by Transmission Electron Microscopy, AngularDependent Raman Spectra, and Electronic Transport Measurements. Appl. Phys. Lett. 2015, 107(2), 021906. Pei, J.; Gai, X.; Yang, J.; Wang, X.; Yu, Z.; Choi, D.-Y.; Luther-Davies, B.; Lu, Y. Producing Air-Stable Monolayers of Phosphorene and Their Defect Engineering. Nat. Commun. 2016, 7, 10450. Xu, R.; Yang, J.; Myint, Y. W.; Pei, J.; Yan, H.; Wang, F.; Lu, Y. Exciton Brightening in Monolayer Phosphorene via Dimensionality Modification. Adv. Mater. 2016, 28(18), 3493–3498. Andres, C.-G.; Leonardo, V.; Elsa, P.; Joshua, O. I.; Narasimha-Acharya, K. L.; Sofya, I. B.; Dirk, J. G.; Michele, B.; Gary, A. S.; Alvarez, J. V.; Henny, W. Z.; Palacios, J. J.; van der Zant, H. S. J. Isolation and Characterization of Few-Layer Black Phosphorus. 2D Mater. 2014, 1(2), 025001. Favron, A.; Gaufres, E.; Fossard, F.; Phaneuf-Lheureux, A.-L.; Tang, N. Y. W.; Levesque, P. L.; Loiseau, A.; Leonelli, R.; Francoeur, S.; Martel, R. Photooxidation
Black phosphorus: Light-matter interactions and potential applications
28. 29.
30.
31. 32. 33. 34.
35. 36. 37. 38.
39.
40. 41. 42.
171
and Quantum Confinement Effects in Exfoliated Black Phosphorus. Nat. Mater. 2015, 14(8), 826–832. Kang, J.; Wood, J. D.; Wells, S. A.; Lee, J.-H.; Liu, X.; Chen, K.-S.; Hersam, M. C. Solvent Exfoliation of Electronic-Grade, Two-Dimensional Black Phosphorus. ACS Nano 2015, 9(4), 3596–3604. Doganov, R. A.; O’Farrell, E. C. T.; Koenig, S. P.; Yeo, Y.; Ziletti, A.; Carvalho, A.; Campbell, D. K.; Coker, D. F.; Watanabe, K.; Taniguchi, T.; Neto, A. H. C.; Ozyilmaz, B. Transport Properties of Pristine Few-Layer Black Phosphorus by van der Waals Passivation in an Inert Atmosphere. Nat. Commun. 2015, 6. Li, L.; Kim, J.; Jin, C.; Ye, G. J.; Qiu, D. Y.; da Jornada, F. H.; Shi, Z.; Chen, L.; Zhang, Z.; Yang, F.; Watanabe, K.; Taniguchi, T.; Ren, W.; Louie, S. G.; Chen, X. H.; Zhang, Y.; Wang, F. Direct Observation of the Layer-Dependent Electronic Structure in Phosphorene. Nat. Nanotechnol. 2016, 12, 21. Cai, Y.; Zhang, G.; Zhang, Y.-W. Layer-Dependent Band Alignment and Work Function of Few-Layer Phosphorene. Sci. Rep. 2014, 4, 6677. Novoselov, K. S.; Geim, A. K.; Morozov, S. V.; Jiang, D.; Katsnelson, M. I.; Grigorieva, I. V.; Dubonos, S. V.; Firsov, A. A. Two-Dimensional Gas of Massless Dirac Fermions in Graphene. Nature 2005, 438(7065), 197–200. Mak, K. F.; Lee, C.; Hone, J.; Shan, J.; Heinz, T. F. Atomically Thin MoS2: A New Direct-Gap Semiconductor. Phys. Rev. Lett. 2010, 105(13), 136805. Zhang, Y.; Chang, T.-R.; Zhou, B.; Cui, Y.-T.; Yan, H.; Liu, Z.; Schmitt, F.; Lee, J.; Moore, R.; Chen, Y.; Lin, H.; Jeng, H.-T.; Mo, S.-K.; Hussain, Z.; Bansil, A.; Shen, Z.-X. Direct Observation of the Transition From Indirect to Direct Bandgap in Atomically Thin Epitaxial MoSe2. Nat. Nanotechnol. 2014, 9(2), 111–115. Zhao, W.; Ghorannevis, Z.; Chu, L.; Toh, M.; Kloc, C.; Tan, P.-H.; Eda, G. Evolution of Electronic Structure in Atomically Thin Sheets of WS2 and WSe2. ACS Nano 2013, 7(1), 791–797. Youngblood, N.; Chen, C.; Koester, S. J.; Li, M. Waveguide-Integrated Black Phosphorus Photodetector With High Responsivity and Low Dark Current. Nat. Photonics 2015, 9(4), 247–252. Zhang, B.; Lou, F.; Zhao, R.; He, J.; Li, J.; Su, X.; Ning, J.; Yang, K. Exfoliated Layers of Black Phosphorus as Saturable Absorber for Ultrafast Solid-State Laser. Opt. Lett. 2015, 40(16), 3691–3694. Hanlon, D.; Backes, C.; Doherty, E.; Cucinotta, C. S.; Berner, N. C.; Boland, C.; Lee, K.; Harvey, A.; Lynch, P.; Gholamvand, Z.; Zhang, S.; Wang, K.; Moynihan, G.; Pokle, A.; Ramasse, Q. M.; McEvoy, N.; Blau, W. J.; Wang, J.; Abellan, G.; Hauke, F.; Hirsch, A.; Sanvito, S.; O’Regan, D. D.; Duesberg, G. S.; Nicolosi, V.; Coleman, J. N. Liquid Exfoliation of Solvent-Stabilized Few-Layer Black Phosphorus for Applications Beyond Electronics. Nat. Commun. 2015, 6. Guo, Z.; Zhang, H.; Lu, S.; Wang, Z.; Tang, S.; Shao, J.; Sun, Z.; Xie, H.; Wang, H.; Yu, X.-F.; Chu, P. K. From Black Phosphorus to Phosphorene: Basic Solvent Exfoliation, Evolution of Raman Scattering, and Applications to Ultrafast Photonics. Adv. Funct. Mater. 2015, 25(45), 6996–7002. Zhao, Y.; Luo, X.; Li, H.; Zhang, J.; Araujo, P. T.; Gan, C. K.; Wu, J.; Zhang, H.; Quek, S. Y.; Dresselhaus, M. S.; Xiong, Q. Interlayer Breathing and Shear Modes in Few-Trilayer MoS2 and WSe2. Nano Lett. 2013, 13(3), 1007–1015. Li, S.-L.; Miyazaki, H.; Song, H.; Kuramochi, H.; Nakaharai, S.; Tsukagoshi, K. Quantitative Raman Spectrum and Reliable Thickness Identification for Atomic Layers on Insulating Substrates. ACS Nano 2012, 6(8), 7381–7388. Postmus, C.; Ferraro, J. R.; Mitra, S. S. Pressure Dependence of Infrared Eigenfrequencies of KCl and KBr. Phys. Rev. 1968, 174(3), 983–987.
172
2D Materials for photonic and optoelectronic applications
43. Calizo, I.; Balandin, A. A.; Bao, W.; Miao, F.; Lau, C. N. Temperature Dependence of the Raman Spectra of Graphene and Graphene Multilayers. Nano Lett. 2007, 7(9), 2645–2649. 44. Sahoo, S.; Gaur, A. P. S.; Ahmadi, M.; Guinel, M. J. F.; Katiyar, R. S. TemperatureDependent Raman Studies and Thermal Conductivity of Few-Layer MoS2. J. Phys. Chem. C 2013, 117(17), 9042–9047. 45. Wei, Q.; Peng, X. Superior Mechanical Flexibility of Phosphorene and Few-Layer Black Phosphorus. Appl. Phys. Lett. 2014, 104(25), 251915. 46. Yin, X.; Ye, Z.; Chenet, D. A.; Ye, Y.; O’Brien, K.; Hone, J. C.; Zhang, X. Edge Nonlinear Optics on a MoS2 Atomic Monolayer. Science 2014, 344(6183), 488–490. 47. Sugai, S.; Shirotani, I. Raman and Infrared Reflection Spectroscopy in Black Phosphorus. Solid State Commun. 1985, 53(9), 753–755. 48. Liu, H.; Neal, A. T.; Zhu, Z.; Luo, Z.; Xu, X.; Toma´nek, D.; Ye, P. D. Phosphorene: An Unexplored 2D Semiconductor With a High Hole Mobility. ACS Nano 2014, 8(4), 4033–4041. 49. Lu, J.; Yang, J.; Carvalho, A.; Liu, H.; Lu, Y.; Sow, C. H. Light–Matter Interactions in Phosphorene. Acc. Chem. Res. 2016, 49(9), 1806–1815. 50. Liang, L.; Wang, J.; Lin, W.; Sumpter, B. G.; Meunier, V.; Pan, M. Electronic Bandgap and Edge Reconstruction in Phosphorene Materials. Nano Lett. 2014, 14(11), 6400–6406. 51. Thilagam, A. Two-Dimensional Charged-Exciton Complexes. Phys. Rev. B 1997, 55(12), 7804–7808. 52. Keyes, R. W. The Electrical Properties of Black Phosphorus. Phys. Rev. 1953, 92(3), 580–584. 53. Wigner, E. On the Interaction of Electrons in Metals. Phys. Rev. 1934, 46(11), 1002–1011. 54. Miyauchi, Y.; Iwamura, M.; Mouri, S.; Kawazoe, T.; Ohtsu, M.; Matsuda, K. Brightening of Excitons in Carbon Nanotubes on Dimensionality Modification. Nat. Photonics 2013, 7(9), 715–719. 55. Iwamura, M.; Akizuki, N.; Miyauchi, Y.; Mouri, S.; Shaver, J.; Gao, Z.; Cognet, L.; Lounis, B.; Matsuda, K. Nonlinear Photoluminescence Spectroscopy of Carbon Nanotubes With Localized Exciton States. ACS Nano 2014, 8(11), 11254–11260. 56. Wang, H.; Zhang, C.; Chan, W.; Manolatou, C.; Tiwari, S.; Rana, F. Radiative Lifetimes of Excitons and Trions in Monolayers of the Metal Dichalcogenide MoS2. Phys. Rev. B 2016, 93(4), 045407. 57. Huard, V.; Cox, R. T.; Saminadayar, K.; Arnoult, A.; Tatarenko, S. Bound States in Optical Absorption of Semiconductor Quantum Wells Containing a Two-Dimensional Electron Gas. Phys. Rev. Lett. 2000, 84(1), 187–190. 58. Kheng, K.; Cox, R. T.; d’ Aubigne, M. Y.; Bassani, F.; Saminadayar, K.; Tatarenko, S. Observation of Negatively Charged Excitons X- in Semiconductor Quantum Wells. Phys. Rev. Lett. 1993, 71(11), 1752–1755. 59. Avsar, A.; Vera-Marun, I. J.; Tan, J. Y.; Watanabe, K.; Taniguchi, T.; Castro € Neto, A. H.; Ozyilmaz, B. Air-Stable Transport in Graphene-Contacted, Fully Encapsulated Ultrathin Black Phosphorus-Based Field-Effect Transistors. ACS Nano 2015, 9(4), 4138–4145. 60. Buscema, M.; Groenendijk, D. J.; Blanter, S. I.; Steele, G. A.; van der Zant, H. S. J.; Castellanos-Gomez, A. Fast and Broadband Photoresponse of Few-Layer Black Phosphorus Field-Effect Transistors. Nano Lett. 2014, 14(6), 3347–3352. 61. Engel, M.; Steiner, M.; Avouris, P. Black Phosphorus Photodetector for Multispectral, High-Resolution Imaging. Nano Lett. 2014, 14(11), 6414–6417. 62. Yuan, H.; Liu, X.; Afshinmanesh, F.; Li, W.; Xu, G.; Sun, J.; Lian, B.; Curto, A. G.; Ye, G.; Hikita, Y.; Shen, Z.; Zhang, S.-C.; Chen, X.; Brongersma, M.;
Black phosphorus: Light-matter interactions and potential applications
63. 64.
65. 66.
67. 68.
173
Hwang, H. Y.; Cui, Y. Polarization-Sensitive Broadband Photodetector Using a Black Phosphorus Vertical p–n Junction. Nat. Nanotechnol. 2015, 10, 707. Buscema, M.; Groenendijk, D. J.; Steele, G. A.; van der Zant, H. S. J.; CastellanosGomez, A. Photovoltaic Effect in Few-Layer Black Phosphorus PN Junctions Defined by Local Electrostatic Gating. Nat. Commun. 2014, 5, 4651. Shenghuang, L.; Shenghua, L.; Zhibin, Y.; Yanyong, L.; Wai, N. T.; Zaiquan, X.; Qiaoliang, B.; Jianhua, H.; Chun-Sing, L.; Charles, S.; Feng, Y.; Ping, L. S. Solution-Processable Ultrathin Black Phosphorus as an Effective Electron Transport Layer in Organic Photovoltaics. Adv. Funct. Mater. 2016, 26(6), 864–871. Yuanda, L.; Yongqing, C.; Gang, Z.; Yong-Wei, Z.; Kah-Wee, A. Al-Doped Black Phosphorus p–n Homojunction Diode for High Performance Photovoltaic. Adv. Funct. Mater. 2017, 27(7), 1604638. Chen, Y.; Jiang, G.; Chen, S.; Guo, Z.; Yu, X.; Zhao, C.; Zhang, H.; Bao, Q.; Wen, S.; Tang, D.; Fan, D. Mechanically Exfoliated Black Phosphorus as a New Saturable Absorber for Both Q-Switching and Mode-Locking Laser Operation. Opt. Express 2015, 23(10), 12823–12833. Sotor, J.; Sobon, G.; Macherzynski, W.; Paletko, P.; Abramski, K. M. Black Phosphorus Saturable Absorber for Ultrashort Pulse Generation. Appl. Phys. Lett. 2015, 107(5), 051108. Luo, Z.-C.; Liu, M.; Guo, Z.-N.; Jiang, X.-F.; Luo, A.-P.; Zhao, C.-J.; Yu, X.-F.; Xu, W.-C.; Zhang, H. Microfiber-Based Few-Layer Black Phosphorus Saturable Absorber for Ultra-Fast Fiber Laser. Opt. Express 2015, 23(15), 20030–20039.