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# Highly sensitive active pixel image sensor array driven by large-area bilayer MoS2 transistor circuitry

## Abstract

Various large-area growth methods for two-dimensional transition metal dichalcogenides have been developed recently for future electronic and photonic applications. However, they have not yet been employed for synthesizing active pixel image sensors. Here, we report on an active pixel image sensor array with a bilayer MoS2 film prepared via a two-step large-area growth method. The active pixel of image sensor is composed of 2D MoS2 switching transistors and 2D MoS2 phototransistors. The maximum photoresponsivity (Rph) of the bilayer MoS2 phototransistors in an 8 × 8 active pixel image sensor array is statistically measured as high as 119.16 A W−1. With the aid of computational modeling, we find that the main mechanism for the high Rph of the bilayer MoS2 phototransistor is a photo-gating effect by the holes trapped at subgap states. The image-sensing characteristics of the bilayer MoS2 active pixel image sensor array are successfully investigated using light stencil projection.

## Introduction

Two-dimensional (2D) transition metal dichalcogenides (TMDs) such as molybdenum disulfide (MoS2), molybdenum diselenide (MoSe2), tungsten disulfide (WS2), and tungsten diselenide (WSe2) have been extensively studied as next-generation semiconducting materials due to their attractive electrical and optical properties1,2,3,4,5,6,7,8,9. However, although the TMD flakes obtained via mechanical exfoliation exhibit unique properties, their use in large-scale practical applications is difficult due to their low reproducibility and large property variations10,11,12,13,14,15,16,17. By contrast, various large-area growth methods for 2D TMDs have been developed for future electronic and photonic applications18,19,20,21,22,23,24,25. Choi et al.22 reported a full-color active-matrix organic light-emitting diode display based on large-area MoS2 synthesized via metal–organic chemical vapor deposition (CVD). Zhang et al.23 reported inverter arrays based on wafer-scale MoS2 synthesized via atomic layer deposition (ALD). Choi et al.24 reported a curved single photodetector array based on MoS2-graphene synthesized via CVD. Large-scale growth methods for TMDs have been reported, but they have not yet been employed to synthesize active pixel image sensors, which are integrated circuits consisting of photodetectors and active transistors that can detect the incident image light and convert it into digital image signals26,27,28.

In this study, we report on an active pixel image sensor array with a large-area bilayer MoS2 film, which was directly synthesized on a SiO2/Si substrate via a two-step growth method consisting of MoS2 sputtering (first step) and sulfurization (second step) without any transfer process. The circuitry in 8 × 8 active pixel image sensor array consists of switching transistors and phototransistors. The phototransistor used as a photodetector in the active pixel image sensor achieves a remarkably high photoresponsivity (Rph) and signal-to-noise ratio (SNR). The main mechanism responsible for the high photoresponsivity of the bilayer MoS2 phototransistor is the photogating (PG) effect induced by light-generated holes trapped at subgap states. This explanation is supported by spectroscopic analysis and by numerical device simulations. The simulations highlight the correlation between threshold voltage (Vth) shift and high Rph when including subgap states near the valence band edge. Moreover, both the 64 switching transistors and the 64 phototransistors based on homogeneous semiconductor (i.e., bilayer MoS2) in the 8 × 8 active pixel array are systematically investigated. It is revealed that the 64 individual pixels exhibit desired electrical and optical properties and high uniformity. Finally, we demonstrate the image-sensing characteristics of the active pixel image sensor array using light stencil projection. The proposed active pixel image sensor array can potentially be used for future image-sensing applications, such as ultra-thin image sensors, transparent image sensors, artificial-intelligence photosensors, and selective light-detecting imagers29,30,31,32.

## Results

### Structure design of bilayer MoS2 image sensor array

The active pixel image sensor array with a large-area bilayer MoS2 film and its pixel configuration are schematically and photographically illustrated in Fig. 1a–c and Fig. 1d–f, respectively. The designed device is composed of an 8 × 8 pixel array, in which the individual pixels have an opaque top-gate switching transistor and transparent top-gate phototransistor. The opaque top-gate electrode of the switching transistor can completely block the incident light, enabling the pixel selection operation without the influence of the light. By contrast, the transparent top-gate electrode of the phototransistor can successfully transmit the incident light, enabling the generation of electron–hole pairs in the MoS2 channel. Figure 1g shows the equivalent circuit of a pixel in the active pixel image sensor array. The phototransistor was integrated into the pixel as a photodetector instead of a photodiode, which is typically used in active pixel image sensors, resulting in a higher photoresponsivity and SNR.

### Fabrication process of bilayer MoS2 image sensor array

The presented architecture of the active pixel image sensor array was formed using a thin film process, owing to the atomically thin bilayer MoS2 film synthesized directly on a SiO2/Si substrate without any transfer process. Figure 2a shows the fabrication process of the pixel unit cell. The bilayer MoS2 film was directly synthesized on the cleaned SiO2/Si substrate via a two-step growth method. The synthesized bilayer MoS2 film was patterned via O2 reactive ion etching using a photoresist mask for channel isolation. Titanium/Au (10/50 nm) as the source/drain (S/D) electrodes were deposited and patterned using an electron-beam evaporator and photolithography via a lift-off technique. Aluminium oxide (80 nm) was deposited as the gate insulator via ALD. Subsequently, transparent top-gate electrodes (i.e., indium zinc oxide, IZO) and opaque top-gate electrodes (i.e., Au) were deposited via sputtering and e-beam evaporation, and patterned via photolithography with wet-etching and lift-off techniques, respectively. The details of the device fabrication are presented in the “Methods” section.

### Synthesis of bilayer MoS2 film

The two-step growth method consisting of radiofrequency (RF) magnetron sputtering and thermal CVD is schematically illustrated in Fig. 2b, c. A MoS2 film was deposited on a SiO2/Si substrate via RF magnetron sputtering and then loaded into a CVD chamber for sulfurization. Hydrogen sulfide gas was used as a sulfur precursor in the sulfurization of sputtering deposited MoS2, which could cause a homogeneous reaction. The temperature profile and gas injection conditions as a function of time are shown in Fig. 2d. The MoS2 film synthesized via the two-step growth method shows a uniform color, indicating thickness uniformity of the MoS2 film on SiO2/Si substrate with the diagonal length of ~9.57 cm (Fig. 3a).

### Characterization of bilayer MoS2 film

High-resolution transmission electron microscopy (TEM) analysis was performed to explore the crystalline structure of the MoS2 film. As shown in Fig. 3b, the morphology of the MoS2 film appears smooth and consists of several grains. The corresponding fast Fourier transform pattern shows numerous spots forming halo rings, indicating that the MoS2 film has several random crystallite orientations33. According to Supplementary Fig. 1, the grain size is estimated to be 5–15 nm, indicating a high density of the grain boundaries. The layer number of the MoS2 film was determined via the cross-sectional TEM image shown in Fig. 3c. The MoS2 film consists of two layers, with an average interlayer spacing of ~0.6 nm, which is consistent with the theoretical and experimental values34.

The MoS2 film was characterized using Raman spectroscopy to investigate its crystallinity and number of layers. In Fig. 3d, the Raman spectrum shows two bands at 384.8 and 405.2 cm−1, which correspond to the in-plane (E12g) and out-of-plane (A1g) vibration modes, respectively35. As the two modes exhibit a well-defined dependence on the number of layers, the frequency difference (∆k) between the two modes is 20.4 cm−1, indicating a bilayer MoS2 film36. The Raman results are consistent with those of mechanically exfoliated MoS2, which indicates the high crystallinity of our MoS2 film grown via the two-step method. The thickness of the MoS2 film was also characterized using atomic force microscopy shown in Supplementary Fig. 2. The film thickness is estimated as ~1.3 nm, corresponding to a typical bilayer MoS237. Photoluminescence (PL) measurement was used to investigate the optical quality of the MoS2 film. The PL spectrum exhibits two peaks at ~663 and 617 nm, corresponding to the A1 and B1 direct excitonic transitions at 1.97 and 2.11 eV, respectively (Fig. 3e). This indicates that the PL peaks originate from the intrinsic electronic structure of the grown 2H-MoS238. Moreover, a randomly selected area of 30 μm × 30 μm was subjected to Raman mapping. Figure 3f, g display the Raman mapping images of the intensity of the E12g and A1g modes centered at 383 and 404 cm−1, respectively. The uniform color contrast demonstrates the high crystallinity and thickness uniformity of our grown MoS2 film at a microscale.

The chemical composition of the synthesized bilayer MoS2 film was studied using X-ray photoelectron spectroscopy (XPS). In Fig. 3h, the core-level spectrum of Mo 3d exhibits two strong peaks at 228.9 and 232.0 eV corresponding to Mo4+ 3d5/2 and Mo4+ 3d3/2 (Mo-S bonding), respectively, and two weak peaks at 232.4 and 235.5 eV corresponding to Mo6+ 3d5/2 and Mo6+ 3d3/2 (Mo-O bonding), respectively39,40. The Mo-O bonding is attributed to MoO3, which is contained in the MoS2 target. The atomic fraction of Mo6+ 3d contained in the grown bilayer MoS2 is ~10.55%. Notably, no additional peak is observed at the low binding energy of ~229.0 eV, which corresponds to metallic 1T-MoS2 or metal Mo41. This indicates that the sputtered MoS2 is fully sulfurized to form 2H-MoS2 without a 1T-MoS2 component. In addition, Fig. 3i shows two S 2p peaks at 161.8 and 163.0 eV, corresponding to the doublet of S2− 2p3/2 and S2− 2p1/2, respectively, which further confirms the 2H-MoS2 crystal structure. The calculated atomic ratio between S2− 2p and Mo4+ 3d is ~2.14, indicating a S-rich MoS2 with good crystallinity grown via the two-step method.

Ultraviolet photoelectron spectroscopy analysis was used to study the electronic structure of the synthesized MoS2 film under ultra-high vacuum using He I as a monochromatic excitation source. The work function (Φ) can be calculated using Φ = hv – W, where hv is the incident photon energy of 21.22 eV (He I) and W is the spectral width extracted from the intersection of the slope of the secondary cut-off spectrum with the baseline (Fig. 3j). The measured work function for the MoS2 film is 4.40 eV, for which the value is consistent with the other reports42,43,44,45. In addition, the valence band maximum (VBM) can also be determined from the intersection of the slope of the first state from Fermi energy (EF = 0 eV) with the baseline (Fig. 3k). The extracted difference of energy between the EF and VBM is 1.65 eV. As previous reports, the few-layer MoS2 exhibit a bandgap from 1.29 to 1.9 eV and it could be inferred that the synthesized MoS2 film was an n-type semiconductor46.

### Electrical characteristics of MoS2 devices in the array

IV characteristics were measured for the 64 phototransistors and 64 switching transistors in the 8 × 8 active pixel image sensor array, to investigate its electrical properties. Figure 4a shows the transfer curves of a MoS2 phototransistor in the active pixel image sensor array, indicating typical n-channel behaviors with a current on/off ratio (Ion/Ioff) of 5.84 × 104 and a threshold voltage (Vth) of −22.32 V at a drain voltage (Vds) of 5 V. Figure 4b also shows the output characteristics of the phototransistor. The drain current (Ids) exhibits a linear behavior at a low drain bias due to the good ohmic contacts between the bilayer MoS2 film and the S/D electrodes (Ti/Au), and shows a fully saturated current at a high drain bias due to the velocity-saturated charge carriers. Supplementary Fig. 3 shows comparison with the transfer curves of our bilayer, few-layer, and multilayer MoS2 phototransistors under the back-gate and top-gate modulations. Bilayer MoS2 exhibits the best performance than the other number of layers of MoS2 grown by the two-step method. The electrical properties of MoS2 phototransistors show metallic as the number of layer increase over the bilayer. Under back-gate modulation, the bilayer MoS2 phototransistor shows improved electrical properties (red line) after Al2O3 passivation compared with that before Al2O3 passivation (black line). Under the top-gate modulation, the electrical properties (blue line) of the device were significantly improved compared with that in the case of the back-gate modulation with the Al2O3 passivation layer (red line), which are attributed to the n-type doping effect47,48 and the high-k dielectric screening effect49,50 of the Al2O3 layer.

The statistical analysis of the electrical performance parameters of the 64 phototransistors in the active pixel image sensor array is summarized in Fig. 4c–e, which was obtained from the transfer curves of the 64 phototransistors as shown in Supplementary Fig. 4a. Figure 4c shows the distribution of the field-effect mobility (μeff), which is calculated from the following equation: μeff = $${g}_{\mathrm{m}}\frac{{L}_{{\rm{c}}}}{{W}_{{\rm{c}}}{C}_{\mathrm{ox}}{V}_{\mathrm{ds}}}$$, where $${g}_{\mathrm{m}}$$ is the transconductance, Lc and Wc are the length and width of the channel, respectively, Cox is the capacitance of the gate insulator, and Vds is the drain voltage. Furthermore, Fig. 4d, e show the distribution of the Vth and Ion/Ioff. All the phototransistors exhibited a highly uniform performance with the following average values: a μeff of 4.85 cm2 V−1 s−1, a Vth of −23.65 V, and an Ion/Ioff of 3.88 × 104. The 64 switching transistors were quantitatively analyzed using the above method repeatedly. Details of the switching transistors are shown in Supplementary Figs. 4b and 5.

### Photoresponsive characteristics of MoS2 devices in the array

The proposed transparent top-gate phototransistor structure based on the bilayer MoS2 active layer and IZO top-gate electrode in Fig. 1 can easily detect the incident light because of the light transmitted through the transparent top-gate electrode, even using an opaque SiO2/Si substrate on which MoS2 is directly grown without additional and complex processes (i.e., transferring MoS2 onto glass or flexible substrate such as polyethylene terephthalate or polyimide films22,24,47, resulting in low productivity and high cost). Figure 5a–c present the photoinduced transfer characteristics of the bilayer MoS2 phototransistor in the active pixel image sensor array under red, green, and blue (RGB) light illumination with an excitation wavelength (λex) of 638 nm (R), 532 nm (G), and 405 nm (B) at various incident power densities (Pinc) ranging from 0.1 to 3.2 mW cm−2. The photocurrent of the bilayer MoS2 phototransistor gradually increased with increasing Pinc. Figure 5d–f show the calculated photoresponsivity (Rph), specific detectivity (D*), and photosensitivity (Sph) as functions of excitation wavelength and incident power density, which are important figures of merit for phototransistors. The Rph was extracted from the transfer characteristics in Fig. 5a–c, using the equation of Rph = Iph/Pinc (A W−1), where Iph and Pinc are the photocurrent and incident power density, respectively. The D* was obtained by the equation of D* = $$\sqrt{A\Delta f}$$/NEP = R$$\sqrt{A\Delta f}$$/in, where $$A$$ is the channel area, $$\Delta f$$ is the electrical bandwidth, NEP is the noise equivalent power, in is the noise current, and R is the responsivity at the same measurement conditions as the noise current (in)51. The noise current, used to obtain the D*, was measured by a lock-in amplifier (Supplementary Fig. 6). We obtained the Sph defined as Sph = Iph/Idark, where Idark is the dark current, extracted from the transfer curves of the MoS2 phototransistor. The maximum Rph of 119.16 A W−1 and D* of 4.66 × 106 cm Hz1/2 W−1 were obtained under the condition of λex = 405 nm and Pinc = 0.1 mW cm−2 for the former and λex = 532 nm and Pinc = 0.1 mW cm−2 for the latter. The maximum Sph of 1173.44 was obtained at λex = 405 nm and Pinc = 3.2 mW cm−2. This is high Rph reported for phototransistors with large-area synthesized MoS2 films as shown in Supplementary Fig. 7 and Table 1.

The main mechanism for the high Rph of the bilayer MoS2 phototransistor is PG effect by the holes trapped at subgap states33,52,53,54,55. The TEM and XPS analysis in Fig. 3 show that high density of grain boundaries, excess S, and a small amount of MoO3 are present in the grown MoS2 film. Previous works report that structural defects in MoS2 itself can induce subgap states in the conduction and valence band56,57. In Fig. 3k, a narrow distribution of states exists above the VBM in the bandgap. These band tail states near the valence band can capture the photogenerated holes, leading to the accumulation of positive charges and potential barrier lowering (i.e., PG effect). Injecting more electrons from the source by PG effect results in a significant enhancement of photoresponsivity in our MoS2 phototransistor. Supplementary Fig. 8 shows the details of PG effect on the bilayer MoS2 phototransistor through the extracted Vth shift ($$\triangle$$Vth) and Iph as a function of Pinc. Supplementary Fig. 8a exhibits $$\triangle$$VthPinc curves of the bilayer MoS2 phototransistor under RGB light illumination. As depicted in the inset of Supplementary Fig. 8a, holes trapped at subgap states act as a local gate, resulting in the negative shift of Vth as the Pinc increased from 0.1 to 3.2 mW cm−2. Supplementary Figs. 8b–d show the IphPinc curves of the device under RGB light illumination, respectively53. By sweeping the gate voltage (Vgs) from −40 to 40 V, the slope of IphPinc (i.e., α: absorption coefficient) decreases, indicating that the dominant mechanism for Rph high switches from photoconductive (PC) effect to PG effect33,54. PC effect is that the conductivity of the channel is increased by the photogenerated electron–hole pairs, whereas PG effect is one of special PC effect resulted from accumulation of holes and conduction band lowering due to the defects, impurities, or multi-junction structure of channel materials. The PG effect affects similarly to the additional Vgs, resulting in decrease of α as the Vgs increases.

Figure 5g–i show the photoswitching behaviors of the bilayer MoS2 phototransistor in the active pixel image sensor array under pulsed RGB light illumination with the frequency of 1 Hz. The rise time (τr) and fall time (τf) were defined as the times taken for the current to change from 20% to 80% and from 80% to 20% of the maximum current, respectively58. The photoresponse speeds of the bilayer MoS2 phototransistor under RGB light illumination were τr under R, τr under G, τr under B = 44, 85, 119 ms and τf under R, τf under G, τf under B = 41, 52, 122 ms, respectively. τr and τf increase as λex decreases due to the greater number of photogenerated charge carriers. Such a satisfactory photoresponse speed indicates that the bilayer MoS2 active pixel image sensor array has the potential for fast image sensing. However, the response time still needs to be improved for high-speed imaging due to the trade-off relationship between response time and responsivity. Therefore, to improve the response speed of our image sensor array, we investigated the photoswitching characteristics of the bilayer MoS2 phototransistor with gate pulse as shown in Supplementary Fig. 9. The 40 ms gate voltage pulse significantly enhanced the fall time from 104.8 ms to 22.99 ms due to the detrapping of the trapped holes at subgap states, enabling high-speed operation of the image sensor29,59,60,61. Supplementary Table 2 shows the comparison of the photoresponse speed without and with gate pulse. The bilayer MoS2 photodetector without a gate terminal in the same pixel was measured under the same conditions as in Fig. 5 to compare its photoresponsive characteristics with those of the proposed phototransistor (Supplementary Fig. 10). Consequently, compared with the photodetector without a gate terminal, the phototransistor showed significantly improved photoresponsivity, specific detectivity, and photosensitivity (i.e., SNR) by 14.01, 6.68, and 505.79 times, respectively.

### Simulation results of bilayer MoS2 phototransistor

To support the interpretation regarding the high Rph of the bilayer MoS2 phototransistor being induced by the PG effect, numerical device simulations were carried out. The simulation framework is based on the drift-diffusion formalism (see “Simulation methods” for details of the simulation setup) with material and device parameters set according to the experimental values derived from Fig. 3. The device structure implemented in the simulator is schematically represented in Fig. 6a (geometrical dimensions and electrical parameters adopted in the simulations are reported in the Supplementary Note 1). The simulated IdsVgs and IdsVds curves in the dark (i.e., with no optically generated carriers) are shown in Fig. 6b, c, respectively. The Vth of the device under no illumination is ≈ −20 V and was calibrated by assuming that the Fermi energy (EF) at equilibrium is close to the conduction band edge (EC). This was simulated by including a large doping density (ND = 5 × 1019 cm−3) in the MoS2 channel.

The simulated IdsVgs curves under different light illumination conditions (each corresponding to a specific incident power density, Pinc) are shown in Fig. 6d. As it can be noticed, simulations correctly anticipate the large photoresponsivity observed experimentally (see Fig. 6e), which is attributed to the negative Vth shift as shown in Fig. 6f. This behavior was reproduced by including a defect level at 0.2 eV from the valence band edge (EV), mimicking the narrow distribution of states above the VBM in the bandgap (see Fig. 3k). The trap state is of the donor-like type, i.e., positively charged (neutral) when filled (empty) of holes. As these traps are 0.2 eV above EV, they tend to become easily filled with holes, the latter being provided by light. When traps capture the optically generated holes, they become positively charged and thus cause Vth to decrease (Fig. 6f), in turn leading to the high Rph (Fig. 6e) as also observed in the experiments (Fig. 5d). Interestingly, when performing simulations without including the trap states, the observed current modulation was relatively weak and inconsistent with experimental results. For example, Fig. 6d shows the simulated IdsVgs without traps (gray lines, shifted to the right for better readability). In this case, no appreciable Vth shift is observed as shown in Fig. 6f. This leads to a much lower Rph, as shown Fig. 6e. Figure 6g shows the trapped charge density ($${N}_{T}^{+}$$) at Vgs = −20 V in the dark and with light illumination, clearly indicating that more holes are trapped in the latter case than in the former. Figure 6h,i show the simulated band diagrams corresponding to dark and with light illumination conditions with and without the inclusion of the trap states, respectively. The comparison of the two cases shows the high conductivity modulation occurring in the simulation with the inclusion of traps (Fig. 6h) and the weak variation occurring in the case without traps (Fig. 6i). All these results corroborate the hypothesis of PG effect being responsible for high Rph.

### Image sensing of bilayer MoS2 image sensor array

The photoinduced transfer characteristics of all the 64 phototransistors were measured under a light illumination with a λex of 638, 532, and 405 nm at a fixed Pinc of 3.2 mW cm−2, to investigate the photoresponse uniformity of the active pixel image sensor array. Figure 7a–c show the extracted photocurrent mapping of the 8 × 8 active pixel image sensor array achieved using the photoinduced transfer characteristics of the 64 phototransistors under RGB light illumination. Consequently, it is confirmed that the active pixel image sensor array has a high photoresponse uniformity for all the RGB light illumination conditions. The cross-talk characteristics between adjacent pixels were also investigated, resulting in negligible cross-talk between adjacent pixels (Supplementary Fig. 11). Supplementary Fig. 12 shows the grayscale variation under various incident power densities. Moreover, a designed turtle stencil (total 24 × 24 pixels) was prepared and patterned using a laser cutting system as shown in Fig. 7d and Supplementary Video 1, to investigate the image-sensing characteristics of the 8 × 8 active pixel image sensor array. The stencil separated into nine pieces (Fig. 7e) is sequentially placed on the active pixel image sensor array during light projection (Fig. 7f). The measurement method using the light stencil projection is described in detail in Fig. 7g and the “Methods” section. Figure 7h shows the photosensitivity mapping result of the active pixel image sensor array obtained through the light stencil projection, indicating successful turtle image sensing (the image pixel resolution is 576 pixels). This is due to the unique pixel structure in the active pixel image sensor array composed of opaque top-gate switching transistors and transparent top-gate phototransistors. As the top-gate electrode and block layer, the Au film covers the switching transistor in the pixels to remove the photocurrent interference of the switching transistor by light illumination during the image sensing through the active matrix as shown in Fig. 1. As mentioned earlier, the IZO top-gate electrode of the phototransistors enables light detection by the image sensor due to its transparent property.

Moreover, typical image signal process of complementary metal-oxide-semiconductor image sensor can be simply described as follows. First, the incident light is converted into current by  the image sensor array and then read out by integrated circuit; then, current is converted to a digital signal by analog-to-digital converter. After that, the digital values are transferred into image signal processor for image processing such as image quality improvement. Finally, image data are acquired through the input/output interface62,63.

## Discussion

We demonstrated an active pixel image sensor array based on a bilayer MoS2 film. A large-area bilayer MoS2 film was directly synthesized on a SiO2/Si substrate via a two-step growth method without any transfer process. In particular, the active pixel image sensor array architecture comprised opaque top-gate switching transistors and transparent top-gate phototransistors achieved higher photoresponsive characteristics than those of photodetector without gate terminal. The main mechanism for the high Rph of the bilayer MoS2 phototransistor is PG effect by the holes trapped at subgap states. This was confirmed by detailed, experimentally guided, numerical simulations that highlighted how the large photoresponsivity increase is a consequence of photo-excited hole trapping at subgap states close to the valence band edge. The 64 individual pixels in the 8 × 8 active pixel image sensor array successfully functioned under RGB light illumination. The desired photoresponsive performance and unique architecture of the proposed active pixel image sensor array can facilitate its use in next-generation image detection applications, such as ultra-thin image sensors, transparent image sensors, artificial-intelligence photosensors, and selective light-detecting imagers.

## Methods

### Growth of MoS2 via the two-step method

A bilayer MoS2 film was synthesized using a two-step method, consisting of RF magnetron sputtering and thermal CVD. P-type doped Si substrates covered with 300 nm-thick SiO2 were used as the substrates. Prior to the deposition of MoS2 via sputtering, the SiO2/Si substrates were ultrasonically cleaned for 10 min each in acetone, isopropyl alcohol, and deionized water. A 50.8 mm-diameter MoS2 target (99.9%) was used in the magnetron sputtering system. The chamber was maintained below the base pressure of 3 × 10−6 Torr after loading the substrates and at the working pressure of 10 mTorr with an Ar flow of 75 s.c.c.m. The MoS2 target was pre-sputtered for 10 min before the deposition, to remove the oxide layer on it and to make the plasma stable. The thin MoS2 films were deposited on the SiO2/Si substrates at room temperature with the RF power of 50 W for 14 s.

The as-deposited MoS2 film on the SiO2/Si substrate was sulfurized in a 2 inch CVD chamber. The chamber was pumped to a low vacuum, and then Ar was injected with a flow rate of 50 s.c.c.m. For the growth of MoS2, the temperature was ramped up to 750 °C in 30 min and maintained for 15 min. A gas mixture of H2 (5 s.c.c.m.) and H2S (5 s.c.c.m.) was injected into the chamber when the temperature reached 300 °C. Subsequently, an annealing process was performed at 1000 °C for 1 h under an Ar (50 s.c.c.m.) and H2S (5 s.c.c.m.) atmosphere. The furnace was rapidly cooled to room temperature under an Ar flow at a rate of 50 s.c.c.m.

### MoS2 phototransistor fabrication

The MoS2 film was deposited on the SiO2/Si substrate for 14 s via RF magnetron sputtering, and then sulfurized at 750 °C and successively annealed at 1000 °C for 1 h in the CVD chamber, to fabricate the active pixel image sensor array with the bilayer MoS2 film. Conventional photolithography was used to pattern the MoS2 channel. A photoresist was spin-coated for 30 s at 3000 r.p.m. on the MoS2 film. Afterward, the coated photoresist layer was exposed to UV light for 1 s and removed with a developer, which covered only the MoS2 channel. The uncovered MoS2 film was etched with O2 plasma at the power of 10 W for 10 s. The photoresist remaining on the MoS2 film was removed by spraying acetone. A lift-off resist and the photoresist were sequentially coated using a spin-coater for 45 s at 2000 r.p.m. and 30 s at 3000 r.p.m., respectively. Following that, they were removed via exposure to UV light. Afterward, the MoS2 film was subjected to development processes to pattern electrodes. Subsequently, 10 nm titanium and 50 nm gold were deposited as electrodes via electron-beam evaporation and patterned via a lift-off process using photoresist remover. An 80 nm-thick Al2O3 as the top-gate insulator was then deposited on the lifted-off sample by ALD at 100 °C. Subsequently, IZO was deposited as the top-gate electrodes using a sputtering system. For the chemical etching of the IZO film after patterning, the sample was immersed in buffered oxide etching for 20 s. After patterning the transparent top-gate electrodes, Ti/Au (20/50 nm) were deposited by electron-beam evaporation and pattern by the lift-off process as the opaque top-gate electrodes. Finally, via holes were patterned using the aforementioned conventional photolithography and chemical etching processes sequentially.

### Characterization of MoS2

The surface of the MoS2 film grown on the SiO2/Si substrates was observed using optical microscopy (BX51M, Olympus, Co.) The heights of the bilayer MoS2 films were measured using atomic force microscopy (XE7, PSIA Co.) in non-contact mode. Raman and PL spectra were obtained using a micro-Raman spectrometer system (ALPHA300, WITec, Co.) with an excitation laser at 532 nm at the MEMS·Sensor Platform Center of SungKyunKwan University (SKKU). XPS (Theta Probe AR-XPS System, ThermoFisher Scientific) measurements were performed with Al Kα X-ray radiation (1486.6 eV). The working pressure in the ultra-high-vacuum chamber during the measurement was maintained below 3 × 10−9 mbar. C 1s at 284.5 eV was used for the calibration of the binding energies. The atomic image of MoS2 was characterized using TEM (JEM ARM 200F, JEOL). The cross-sectional TEM imaging samples were fabricated using a focused ion beam system (NX2000, HITACHI). The electrical and photoresponse properties of the MoS2 active pixel image sensor array were characterized using a semiconductor characterization system (4200 SCS, Keithley) and multi-channel fiber-coupled laser source (MCLS1, Thorlabs) in an ambient condition. The noise current of the MoS2 phototransistor was measured using a lock-in amplifier (SR830 lock-in amplifier, Stanford Research Systems). The image-sensing characteristics of the active pixel image sensor array were measured using light stencil projection. The turtle stencil (24 × 24 pixels) was patterned onto the gold-deposited glass using a laser cutting system. The turtle stencil separated into nine pieces (8 × 8 pixels) was sequentially placed on the 8 × 8 active pixel image sensor array. Subsequently, the individual pixels were measured by connecting the contact pads adjacent to the edge of the substrate under a light projection. To obtain the colored image, each pixel of the image sensor array was measured with the turtle stencil under RGB light that differs from pixel to pixel, respectively. The light stencil projection method was inspired and developed from previous reports30,64. Lee et al.30 reported a single-pixel imager and the image scanning system with three different light sources (RGB).

### Simulation methods

The 2D numerical simulations model the carrier transport problem with the drift-diffusion formalism (see Supplementary Note 1 for the full equation set). This way, Poisson equation and continuity equations are solved self-consistently for each applied bias (in terms of gate-to-source and drain-to-source voltage), to obtain the electrostatic potential and the carriers’ concentration. For simplicity, the light source is considered ideal, i.e., it provides constant electron–hole pair generation rates. Shockley–Read–Hall formalism was adopted to model trap capture and emission dynamics.

## Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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## Acknowledgements

This research was supported in part by the National Research Foundation of Korea (2021R1A2B5B02002167,  2021M3H4A1A02056037, 2020H1D3A2A02103378, and 2020R1I1A1A01070907).

## Author information

Authors

### Contributions

S.K. designed and supervised this project. S.H. performed all the experiments, except for the synthesis of MoS2. S.C. performed the synthesis of MoS2 and contributed to the experiments and spectroscopic analysis. S.B. and A.B. contributed to the synthesis of MoS2. N.L. and H.Y. performed the spectroscopic analysis of MoS2. B.H.K. and H.J.K. performed the IZO deposition. H.J.Y. performed the UPS measurement. N.Z. and M.A.A. conceived and performed the device modeling and numerical simulations. All the authors analyzed the data. S.H., N.Z., S.C., N.L., and S.K. wrote the manuscript. All the authors have approved the final version of the manuscript.

### Corresponding authors

Correspondence to Muhammad Ashraful Alam or Sunkook Kim.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information Nature Communications thanks Xiaomu Wang, Do Kyung Hwang, and the other anonymous reviewers for their contribution to the peer review of this work.

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Hong, S., Zagni, N., Choo, S. et al. Highly sensitive active pixel image sensor array driven by large-area bilayer MoS2 transistor circuitry. Nat Commun 12, 3559 (2021). https://doi.org/10.1038/s41467-021-23711-x

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