Yinggan
Zhang
a,
Rui
Xiong
b,
Baisheng
Sa
*b,
Jian
Zhou
c and
Zhimei
Sun
c
aCollege of Materials, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Xiamen University, Xiamen 361005, P. R. China
bKey Laboratory of Eco-materials Advanced Technology, College of Materials Science and Engineering, Fuzhou University, Fuzhou 350108, P. R. China. E-mail: bssa@fzu.edu.cn
cSchool of Materials Science and Engineering, Center for Integrated Computational Materials Science, International Research Institute for Multidisciplinary Science, Beihang University, Beijing 100191, P. R. China
First published on 22nd October 2020
Constructing heterostructure solar cells using donor and acceptor semiconductors has attracted global interest owing to their high power conversion efficiency. In this paper, based on density functional theory calculations, we comprehensively evaluated 64 two-dimensional transition metal carbides (MXenes) to explore them as appropriate semiconductors for solar cells by material screening. The results highlight that Zr2CO2 (Hf2CO2) and Ti2CO2 are promising donor and acceptor materials, respectively. Interestingly, the heterostructures have a moderate band gap of 1.22 eV and exhibit a noticeable absorbance coefficient of 105 cm−1 in the visible light region. Moreover, the type-II nature of the heterostructures could induce effective electron–hole separation. Furthermore, the photocurrents of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructure solar cell devices are competitive with those of silicon devices. In particular, Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructure solar cells deliver a very high power conversion efficiency of 22.74% and 19.56%, respectively. Our present study paves the way for facilitating the potential application of MXenes as photovoltaic materials.
MXenes7–14 are 2D transition metal carbides/nitrides produced from their corresponding MAX phases, where M represents early transition metals, A stands for group IIIA or IVA elements and X corresponds to a C or N atom.9 MXenes have garnered increasing interest because of their various potential applications such as photocatalytic water splitting,15–17 Li-ion and Na-ion battery anodes,18,19 metal-ion capacitors,20 heavy metal removal21etc. In previous ingenious studies,3,22 both 2D TiNX (X = F, Cl, and Br) and edge-modified phosphorene have been demonstrated as suitable semiconductors for forming heterostructure solar cells. Coincidently, the outer layers of MXenes are saturated with F, O, and/or OH groups when exfoliating from their bulk MAX phases.23,24 Motivated by this, we wonder if MXenes are endowed with an outstanding feature for the design of 2D heterostructure solar cells.
Considering the large number of compounds in the MXene family, we employed a computational method instead of the traditional trial-and-error approach to extensively investigate the optoelectronic properties of MXenes. In this work, by first-principles calculations, we studied the photoelectronic properties of 64 MXenes for seeking feasible photovoltaic materials. Accordingly, Zr2CO2 (Hf2CO2) and Ti2CO2 were chosen as donor and acceptor materials to form heterostructure solar cells, respectively. We then constructed Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructures to explore their potential application as photovoltaic devices. The high stability, ideal band gaps, and highly effective separation of photo-induced free carriers of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructures have been confirmed, making them promising candidates for high-quality solar cell devices. Significantly, the estimated maximum power conversion efficiency (PCE) of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructures can be as high as 22.74% and 19.56%, respectively, which are absolutely competitive with other existing 2D heterostructures.
It is worth noting that the matched band alignment of the donor and acceptor is a crucial requirement to the formation of a type-II heterostructure solar cell. In a type-II heterostructure, as displayed in the inset of Fig. S3,† both the conduction band minimum (CBM) and valence band maximum (VBM) of semiconductor A must be lower than those of semiconductor B. Since electrons and holes gain energy by moving down and up respectively, after the contact between conductor A and B, photo-excited electrons can transfer from the CBM (B) to CBM (A), and vice versa and the holes can be transferred from the VBM (A) to VBM (B) simultaneously.40 Following this principle, we illustrated the electronic band alignment of MXenes referring to the vacuum level in Fig. S3.† It is clear that both Zr2CO2 and Hf2CO2 are potential donor semiconductors to form heterostructure solar cells with Ti2CO2 as the acceptor material for designing type-II solar cells.
The optimized lattice constants of Ti2CO2, Zr2CO2, and Hf2CO2 are 3.065, 3.292, and 3.25 Å, respectively, agreeing well with previous studies.15,41 Herein, the lattice mismatch between Zr2CO2 (Hf2CO2) and Ti2CO2 is 7.4% (6.0%), which is larger than that for well-known heterostructures.7,42,43 However, the creation of Ti2CO2/Zr2CO2 (Ti2CO2/Hf2CO2) is still expected because MXenes can sustain very large tensile strains.44 For the combined heterostructures, six selective stacking patterns with six special rotation angles between the adjacent layers were explored, as shown in Fig. S4.† The rotation angles of Zr2CO2 (Hf2CO2) with respect to Ti2CO2 are 0°, 60°, 120°, 180°, 240° and 300°, respectively. All the configurations were geometry optimized for achieving stable atomic systems. Table S1† lists the difference of the calculated energy between the six configurations, the interlayer distances between Ti2CO2 and Zr2CO2 (Hf2CO2) layers, lattice constant a (Å) and bond lengths for monolayers and heterostructures. The energy difference ΔE can be defined as:
ΔEi = Ei − E0 | (1) |
Fig. 2 (a) Top and (b) side views of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructures with the most stable configuration. |
We then performed phonon and AIMD calculations to assess the stability of the vdW heterostructures, respectively. Fig. 3 displays the dispersion curves and energy evolution at 300 K for 9 ps of the vdW heterostructures. Clearly, negative frequency has not been found in Fig. 3a and c, indicating that the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures are lattice dynamically stable. As shown in Fig. 3b and d, it is obvious that the changes of the total energy are very small during the simulations, implying that the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures are thermally stable at room temperature. Furthermore, from the results of annealing the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures at higher temperature in Fig. S5 and S6,† respectively, we can conclude that the atoms in the vdW heterostructures are well maintained around their equilibrium positions with slight vibration until the temperature reaches 2100 K. The results suggest that the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures can hold steady at high temperature up to 2100 K. Hence the stability of the vdW heterostructures has been attested, and coincides with that of our previous energetically favorable analysis.
The band gaps of both Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures calculated by the HSE06 method are 1.22 eV, similar to the experimental silicon gap. It is worth noting that the band structure characteristics of monolayers have passed to the vdW heterostructures because of the weak vdW interactions. As seen in Fig. 4, both Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures show an indirect band gap feature, due to the CBM and VBM at the M and Γ points, respectively. Nevertheless, the energy difference between the indirect and direct band gap is very small (less than 90 meV). Such a small difference might be advantageous for carrier lifetimes in potential perovskites as the requirement of a phonon in an indirect band gap can slow down the recombination rate of photo-induced electrons and holes.47 On the other hand, the small indirect to direct band gap difference does not have a big impact on the optical absorption.48,49 Moreover, the CBM of the vdW heterostructure is entirely dominated by the Ti2CO2 layer, while the VBM is completely occupied by the Zr2CO2 (Hf2CO2) layer, showing a staggered type-II gap feature.50 We then illustrated the band-decomposed charge density in Fig. 5 for a deep understanding of the effect of the constituent layer in the vdW heterostructures. As can be seen, for both vdW heterostructures, the CBM is occupied by d electrons of the Ti atom and p orbitals of the O atom from the Ti2CO2 layer, and the VBM is occupied by the p states of the C atom and O atom from the Zr2CO2 (Hf2CO2) layer. Therefore, it can be concluded that the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures are typical type-II heterostructures. Thus, the photo-excited electrons and holes transfer and gather in different layers as mentioned before, which is beneficial for photoenergy detection and harvesting.7,42
Fig. 5 Band-decomposed charge density of the CBM and VBM for (a) Ti2CO2/Zr2CO2 and (b) Ti2CO2/Hf2CO2 heterostructures. |
We have further calculated the carrier mobility of the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures according to Fig. S7 and S8,† respectively. Taking the Ti2CO2/Zr2CO2 vdW heterostructure as an example, the orthorhombic lattice used in the method is displayed in Fig. S7a.† The calculated band structure is presented in Fig. S7b,† where the band structure characteristics of the CBM and VBM indicate the effective mass of electrons and holes, respectively. Fig. S7c and d† respectively display the change of the total energy and band alignment of the Ti2CO2/Zr2CO2 vdW heterostructure with respect to the applied strain. All the calculated values are summarized in Table 1. Interestingly, the electron mobility in the y direction (46740.451 cm2 V−1 s−1) is an order of magnitude higher than that of Si (∼1400 cm2 V−1 s−1).51 More importantly, the electron mobility in the y direction is fifteen times larger than that in the x direction for the Ti2CO2 layer. While for the Zr2CO2 layer, the hole mobility in the x direction is about five times larger than that in the y direction. That is to say, the electrons show a dominant tendency to migrate along the y direction on one side of the interface, and the holes completely tend to migrate along the x direction on the other side. We have also plotted the 2D charge density in the xy-plane (marked by a red dashed line from the band-decomposed charge density) to visualize the carrier mobility anisotropies in the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures, as displayed in Fig. S9 and S10,† respectively. Apparently, the charge densities for both the CBM and VBM are more delocalized in the x direction than those in the y direction. Due to the fact that higher delocalization of charge density implies more (less) migration channels for electrons (holes),52 the vdW heterostructures exhibit a much larger electron (smaller hole) mobility in the y direction. It can be concluded that the high and directionally anisotropic carrier mobilities of these two vdW heterostructures can reduce the recombination rate of electron–hole pairs dramatically, which is beneficial for creating a high-performance solar cell.2
System | Carrier type | m*/m0 | C | E i | μ |
---|---|---|---|---|---|
Ti2CO2/Zr2CO2 | Electrons (x) | 2.448 | 484 | 3.120 | 118.147 |
Holes (x) | 0.192 | 484 | 2.000 | 46740.451 | |
Electrons (y) | 0.387 | 484 | 4.700 | 2083.232 | |
Holes (y) | 0.367 | 484 | 2.220 | 10382.867 | |
Ti2CO2/Hf2CO2 | Electrons (x) | 2.483 | 528 | 2.780 | 157.798 |
Holes (x) | 0.181 | 528 | 1.980 | 58540.494 | |
Electrons (y) | 0.473 | 533 | 4.340 | 1801.090 | |
Holes (y) | 0.445 | 533 | 1.940 | 10183.890 |
In order to utilize the solar energy efficiently, a wide adsorption range especially in the visible-light region of solar radiation is another critical factor that a high-quality solar cell should fulfill. In order to include the excitonic effect, the optical absorption properties of the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures and the isolated monolayers calculated by the TDHF-HSE06 method are plotted in Fig. 6a. As is seen, the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures exhibit broad optical absorptions, where the absorption coefficients can reach 6 × 105 cm−1 and 7 × 105 cm−1, respectively. In addition, the optical adsorptions of vdW heterostructures are more noticeable than those of the corresponding isolated monolayers. This is due to the expanded overlap between the absorption edge and the solar spectrum caused by the reduced band gaps of the vdW heterostructures, which can also be observed in many other 2D heterostructures.54–56 Moreover, the absorption intensity in hybrid systems can also be enhanced by the increased optical transitions induced by the interaction between the two heterostructures.5 We have also calculated the absorption coefficients of vdW heterostructures by the DFT-HSE06 (excluding the excitonic effect) approach displayed in Fig. 6b for reference. The measured bulk silicon absorbance is plotted for comparison as well.57 As compared to the standard DFT-HSE06 result, the absorption estimated by the TDHF-HSE06 method is absolutely higher, demonstrating a large excitonic effect in all visible-light ranges, which can enhance the absorption coefficients. Unlike silicon and many other 2D materials,58 the light absorbance of which descends dramatically at visible-light wavelengths, the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures show remarkable light absorption in the whole visible-light region. The outstanding optical performance implies that these two vdW heterostructures are very promising high-efficiency solar cells.
Fig. 6 Calculated TDHF-HSE06 optical absorption coefficients of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 heterostructures (a) compared with those of pristine Ti2CO2, Zr2CO2, and Hf2CO2 monolayers, and (b) compared with the absorption coefficients obtained by the DFT-HSE06 method and the experimental spectrum of intrinsic silicon. The colorful and gray background indicates the reference solar spectral irradiance.53 |
Furthermore, we have explored the photocurrents of the vdW heterostructures and corresponding isolated monolayers in device form in Fig. 7, where the photocurrents of silicon solar cell devices59 are shown for comparison as well. It is seen that the photocurrents generated in the vdW heterostructures are stronger than those of the MXene monolayers. There are two photocurrent peaks at about 1.6 eV and 2.2 eV for the Ti2CO2/Zr2CO2 vdW heterostructure device, while four peaks at about 1.5 eV, 1.7 eV, 2 eV, and 2.5 eV for the Ti2CO2/Hf2CO2 vdW heterostructure device. Additionally, the photocurrents of both the vdW heterostructure devices exceed that of the thin-film silicon device59 below 2.6 eV. The local density of states along the transport direction of solar cell devices used in our calculations is illustrated in Fig. S11,† which indicates that the device size applied in our calculations is long enough.
Fig. 7 The calculated photocurrents of Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 and isolated monolayer devices, and the photocurrents of silicon solar cell devices are shown for comparison as well. |
From above, the Ti2CO2/Zr2CO2 and Ti2CO2/Hf2CO2 vdW heterostructures are seen to be very promising photovoltaic solar cells with suitable band gaps and high separation efficiencies of phonon-induced carriers. Herein, to evaluate the quality of these two vdW heterostructures, we estimated the power conversion efficiency (PCE) η by an approach proposed by Scharber et al.2,63 The maximum PCE for such devices can be defined as the following equation:
(2) |
System | PCE | References |
---|---|---|
Ti2CO2/Zr2CO2 | 22.74 | This work |
Ti2CO2/Hf2CO2 | 19.56 | This work |
HfTeSe4/Bi2WO6 | 20.8 | 60 |
Te/WTe2, Te/MoTe2 | 22.5, 20.1 | 5 |
GaTe/InS, GaTe/GaSe | 11.52, 18.39 | 50 |
TiNF/TiNCl, TiNCl/TiNBr | 22, 19 | 22 |
ZrS3/HfS3 | 16–18 | 61 |
MoSe2/ψ-phosphorene | 20.26 | 62 |
α-AsP/GaN | 22.1 | 51 |
Edge-modified phosphorene nanoflakes | 20 | 3 |
MoS2/bilayer phosphorene | 16–18 | 63 |
Phosphorene/MoS2 heterobilayer | 17.5 | 64 |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/d0se01443e |
This journal is © The Royal Society of Chemistry 2021 |