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# 2D perovskite stabilized phase-pure formamidinium perovskite solar cells

## Abstract

Compositional engineering has been used to overcome difficulties in fabricating high-quality phase-pure formamidinium perovskite films together with its ambient instability. However, this comes alongside an undesirable increase in bandgap that sacrifices the device photocurrent. Here we report the fabrication of phase-pure formamidinium-lead tri-iodide perovskite films with excellent optoelectronic quality and stability. Incorporation of 1.67 mol% of 2D phenylethylammonium lead iodide into the precursor solution enables the formation of phase-pure formamidinium perovskite with an order of magnitude enhanced photoluminescence lifetime. The 2D perovskite spontaneously forms at grain boundaries to protect the formamidinium perovskite from moisture and suppress ion migration. A stabilized power conversion efficiency (PCE) of 20.64% (certified stabilized PCE of 19.77%) is achieved with a short-circuit current density exceeding 24 mA cm2 and an open-circuit voltage of 1.130 V, corresponding to a loss-in-potential of 0.35 V, and significantly enhanced operational stability.

## Introduction

Tremendous attention has been focused on hybrid perovskites (PVSK) since the first development of the solid-state PVSK solar cell in 20121,2,3,4. Rapid progress in power conversion efficiency (PCE) has been achieved via compositional and process engineering. As of 2017, the state-of-the-art PVSK solar cell achieved a certified PCE of 22.7%, which is on par with well-established silicon solar cells5,6,7,8,9,10,11,12.

Typical PVSK absorbers employ 3D ABX3 structures, where a monovalent ‘A-site’ cation in the cubo-octahedral site bonds with the BX6 octahedra. Compositional engineering has been considered an important approach to enhance the stability and performance of PVSK solar cells. Important milestones have been achieved through compositional engineering. For example, incorporation of the formamidinium (FA) cation into the ‘A-site’ has enabled the formation of a cubic FAPbI3 phase with a lower bandgap (Eg) of 1.48 eV, higher absorption coefficient and longer carrier diffusion lengths than methylammonium (MA)-based tetragonal MAPbI3 (Eg = 1.57 eV)6,7,13. However, FAPbI3 has poor ambient stability because its non-PVSK hexagonal phase is thermodynamically more favorable than the cubic phase at room temperature. Partial substitution of FA and I with MA and/or Br has enabled fabrication of phase-pure FAPbI3 with improved performance and stability8. Recently, incorporation of smaller inorganic ‘A’ cations, such as Cs and Rb, has further improved the stability and PCE of the PVSK solar cells with the lowest open-circuit voltage (VOC) deficit of 0.39 V14,15. As a result, typical high efficiency devices nowadays incorporate PVSK with FA, MA, Cs, Rb, and Br having relatively larger Eg than 1.60 eV15,16. However, such compositional engineering has enhanced the VOC and stability at the expense of short-circuit current density (JSC) due to increased Eg. Utilization of pure FAPbI3 is desired in regards to its lower Eg, which is close to the optimum value for a single junction solar cell suggested by the detailed balance limit17. However, no efficient method has been developed so far to fabricate a high quality phase-pure FAPbI3 film and device.

Recently, the manipulation of surface energy has been proposed as a means to stabilize metastable PVSK phases such as CsPbI3 and FAPbI318,19,20. Swarnkar et al. reported ambient stable α-CsPbI3 in the form of a colloidal quantum dot, in which the contribution of surface energy significantly increases due to the high surface-to-volume ratio18. Very recently, Fu et al. reported that the cubic FAPbI3 phase can be stabilized by functionalizing the surface with large-sized organic molecules19. They demonstrated that the functionalized surface contributes to lower formation energy to stabilize the cubic FAPbI3 phase at room temperature. However, the steady-state PCE was as low as 14.5%. Several attempts have been made to utilize such approach, where impressive improvements in performance and stability have been demonstrated21,22,23,24,25. However, their performance and stability are still relatively poor comparing with those of MAPbI3 or mixed-cation-halide PVSK solar cells.

Here we report a method to fabricate high-quality stable FAPbI3 PVSK films using 2D PVSK. Incorporation of 2D phenylethylammonium lead iodide (PEA2PbI4) PVSK into precursor solution enables the formation of phase-pure FAPbI3 films with a tenfold enhancement in photoluminescence (PL) lifetime. The 2D PVSK is spontaneously formed at the grain boundaries of FAPbI3 to protects the FAPbI3 from moisture and assists in charge separation/collection. Thanks to the superior optoelectronic quality, we were able to fabricate a PVSK solar cell with a stabilized efficiency of 20.64% (certified stabilized efficiency of 19.77%). Notably, the PVSK solar cell shows a peak VOC of 1.130 V, corresponding to a loss-in-potential of 0.35 V considering the Eg of 1.48 eV versus 0.39 V for mixed-cation-halide perovskite solar cells15. Furthermore, the device demonstrates significantly enhanced ambient and operational stability.

## Results

### Effects of 2D perovskite on phase purity of FAPbI3

FAPbI3 films were prepared by the modified adduct method, in which N-methyl-2-pyrrolidone (NMP) was used as a Lewis base26,27. To the PVSK precursor solution, 2D PVSK (PEA2PbI4) precursors with different molar ratios ranging from 1.25 to 10 mol% were added. The steady-state PL spectra of the films were measured and are shown in Supplementary Fig. 1. As seen in Fig. 1a and Supplementary Fig. 1, we observed no obvious changes in PL peak position until the amount of 2D PVSK reached 10 mol%. With 10 mol% PVSK, the PL peak was blue-shifted by 6 nm. The blueshift of the PL peak might be due to formation of a quasi-3D PVSK, where charge carriers are confined by large potential barrier originated from the 2D PVSK28. Based on this observation, we presume the added 2D PVSK does not result in the formation of the quasi-3D PVSK if it remains below a certain threshold. This threshold was found to be lower than 10 mol%, where this quantity was then optimized based on photovoltaic performance (Fig. 1a and Supplementary Fig. 2). A planar heterojunction architecture consisting of Indium doped SnO2 (ITO) glass/compact-SnO2/PVSK/spiro-MeOTAD/Ag or Au was utilized for construction of PVSK solar cells in this study (cross-sectional scanning electron microscopic (SEM) images of the device are shown in Supplementary Fig. 3). The addition of 1.67 mol% 2D PVSK was found to be optimal for the photovoltaic performance (ca. 11% improvement in PCE). Notably, addition of 10 mol% 2D PVSK significantly degraded the PCE to lower than 1%, which might result from formation of quasi-3D PVSK as the large potential barrier originating from 2D PVSK could hinder the charge transport.

### Photoluminescence properties and photovoltaic performance

The PCE distribution of the devices incorporating corresponding the PVSKs is compared in Fig. 2c (distribution of photovoltaic parameters can be found in Supplementary Fig. 14). The average photovoltaic parameters are summarized in Supplementary Table 2. The average PCE of the bare FAPbI3 PVSK solar cells was significantly enhanced by 13% from 15.95 ± 0.36% to 18.08 ± 0.52% with addition of 1.67 mol% PEA2PbI4. The average PCE was further enhanced to 19.16 ± 0.37% with 2 mol% of Cs (Hereafter, the devices based on bare FAPbI3 are denoted as control while the devices based on FA0.98Cs0.02PbI3 with 1.67 mol% PEA2PbI4 are denoted as target for convenience). Current density and voltage (JV) curves of the optimized control and target devices are demonstrated in Fig. 1d, in which the highest PCE of the target device reached 21.06% (JSC: 24.44 mA cm−2, VOC: 1.126V, FF: 0.765) while a PCE of 16.41% was achieved with the control device (JSC: 24.23 mA cm−2, VOC: 1.048V, FF: 0.646). A stabilized PCE of 20.64% was achieved with the target device while that of control device was 15.80% (Fig. 2e). External quantum efficiency (EQE) spectra of the devices were compared in Fig. 2f. An integrated JSC of 23.9 mA cm−2 from the target device was well-matched with the value measured from the JV scan (<5% discrepancy), while control device shows that of 21.2 mA cm−2 with a relatively large discrepancy of 14%. The relatively large discrepancy from the control FAPbI3 device is probably due to a more pronounced hysteresis, as seen in Fig. 1d, which also results in a large discrepancy between the stabilized PCE and the PCE measured from the JV scan. The performance of control device was highly reproducible. With optimized process parameters, the average PCE of 20.05 ± 0.45% was demonstrated over 74 devices (Supplementary Fig. 15). We obtained the peak VOC of 1.130 V with the target device (Supplementary Fig. 16) corresponding to a loss-in-potential of 0.35 V considering a Eg of 1.48 eV, which is the lowest VOC deficit reported to date for PVSK solar cells. One of the target devices was sent out for measurement in an independent laboratory and achieved a certified stabilized PCE of 19.77% (Supplementary Fig. 17). The current–voltage curve and EQE spectra matched well with those measured by our group (Supplementary Fig. 18). The enhanced device performance with 2D PVSK is mainly due to improved FF and VOC, which can be attributed to improved phase purity and elongated carrier lifetime with reduced defect density, facilitating carrier transport and reducing the charge recombination14. The reduced non-radiative recombination loss with 2D PVSK was also confirmed in devices by electroluminescence (EL) measurements in Supplementary Fig. 19, in which maximum radiance (40.4 Wsr−1 cm−2) and EL EQE (0.49%) of the target devices were significantly enhanced compared to those of the control devices (2.87 Wsr−1 cm−2, 0.06%)15.

### Moisture stability and TEM analysis

Under ambient conditions, a cubic FAPbI3 PVSK phase is subject to undergo conversion to a hexagonal non-PVSK phase, resulting in serious degradation in photovoltaic performance8,14. The phase transformation is even accelerated under high-relative humidity14. To evaluate the effects of 2D PVSK incorporation on phase stability, we investigated changes in absorbance of the film under relative humidity (RH) of 80 ± 5%. Figure 3a shows photos of the PVSK film stored for different time. Bare FAPbI3 film was almost completely bleached within 24 h whereas no obvious change in color was observed from the films containing 2D PVSK both with and without Cs. Figure 3b demonstrates the absorbance (at 600 nm) of the FAPbI3 films with and without 2D PVSK as a function of exposure time (individual absorption spectra can be found in Supplementary Fig. 20). The absorbance of the bare FAPbI3 rapidly degraded during 24 h, while FAPbI3 films with 2D PVSK did not show noticeable degradation within 24 h. With addition of 2 mol% Cs, the film also remained stable after 24 h. The color change of the bare FAPbI3 film under high RH is due to its transformation to the δ-phase as can be seen in XRD spectra in Supplementary Fig. 21a whereas no detectable change in color for the films with 2D PVSK is correlated with their neat XRD spectra without the δ-phase (Supplementary Figs. 21b, c). The enhanced phase stability under high RH implies that the possible ingression pathway of moisture in the PVSK film is passivated. Previously, we demonstrated grain boundary engineering techniques using the adduct approach, in which the additives had precipitated at grain boundaries if not incorporated into the lattice of PVSK34,38. We supposed that grain boundaries within the film, which have been reported to be ingression pathways for moisture, might be passivated by the added 2D PVSK39.

Indeed, the vertically aligned 2D PVSK was sparsely observed from SEM images in Supplementary Fig. 10b, c with addition of 2D PVSK (see also Supplementary Fig. 22 and Supplementary Note 4 for additional discussion). However, the enhanced moisture stability throughout the whole-film implies that the 2D PVSK probably exist along the grain boundaries. To confirm our assumption, transmission electron microscopic (TEM) images of the FAPbI3 film with 2D PVSK was analyzed in Fig. 3c–e. The inset of Fig. 3c shows a chunk of the polycrystalline film scratched off from the substrate. Several hundreds of nanometer sized grains and their boundaries are clearly visible from the image, and from which one of the grains is magnified in Fig. 3c. The region (1) in Fig. 3c, which is the grain interior, was magnified and analyzed using Fast Fourier transform (FFT) in Fig. 3d, in which an inter-planar spacing of 3.2 Å is well-matched with the (002) reflection of cubic FAPbI3 (Supplementary Table 3). At region (2), which is grain boundary, the FFT analysis revealed an inter-planar distance of 8.0 Å (Fig. 3e), correlating to a characteristic (002) reflection of 2D PEA2PbI4 (Supplementary Fig. 23 and Supplementary Table 4). This supports the presence of 2D PVSK at grain boundaries, which was further confirmed by elemental distribution (EDS) analysis (Supplementary Fig. 24). At grain boundary regions, relatively larger amounts of carbon and nitrogen were detected, which could be due to presence of phenylethylammonium cation in the 2D PVSK.

### Band structure and electrical properties

A schematic in Fig. 4a shows 2D PVSK formation at the grain boundaries of the 3D PVSK film. Since the 2D PEA2PbI4 PVSK with aromatic rings and longer alkyl chains is expected to be more resistant to moisture, it protects the defective grain boundaries of 3D PVSK, resulting in significantly enhanced moisture stability of the film. Regardless of the improved stability, however, one can expect degraded electronic properties of the film due to the poor charge carrier mobility of the 2D PVSK. We investigated the band structure of FA0.98Cs0.02PbI3 (with 1.67 mol% of 2D PVSK) and PEA2PbI4 PVSK, which is illustrated in Fig. 4b. The valence band maximum was measured using ultraviolet photoelectron spectroscopy (UPS, Supplementary Fig. 25), while the Eg was determined from Tauc plots (Supplementary Fig. 26). As seen in Fig. 4b, FA0.98Cs0.02PbI3 and PEA2PbI4 PVSK shows type I band alignment. Such band alignment resembles the alignment between PVSK and PbI2 formed at grain boundaries, which was found to reduce charge recombination and assist in charge separation/collection40,41. Thus, analogous advantages of 2D PVSK at grain boundaries can be expected. Conductive atomic force microscopy (c-AFM) was performed in Fig. 4c–f to see spatially resolved electrical properties of the films. Under ambient light conditions (Fig. 4c, d), current flow in the PVSK film with 2D PVSK was higher at/near the grain boundaries while relatively uniform current flow was observed in the bare FAPbI3 film. With light illumination (Fig. 4e, f), the current flow was further enhanced at/near the grain boundaries with 2D PVSK whereas current flow in bare FAPbI3 film was uniformly increased, which indicates charge separation and collection of photo-generated electrons is facilitated more so at grain boundaries with 2D PVSK. As suggested for PbI2, thin 2D PVSK regions at grain boundaries might suffer downward band bending under illumination (dashed line in Fig. 4b) where photo-generated electrons are transferred from grain interiors. Due to the high-potential barrier to the holes, charge recombination will be reduced, which might be the origin of the superior PL lifetime and photovoltaic performance with 2D PVSK.

### Ambient and operational stability

Finally, the stability of the control and target devices was compared. Figure 5a demonstrates the changes in PCE of the unencapsulated devices stored in a desiccator (relative humidity lower than 30%, evolution of an individual photovoltaic parameter can be found in Supplementary Fig. 27). While the control device degraded by 29% for 1392 h, the target device maintained 98% of its initial efficiency during this time. The operational stability of the devices was also compared by maximum power point (MPP) tracking under 1 sun illumination in Fig. 5b. Without encapsulation, the PCE of the control device rapidly degraded by 68% during 450 min whereas that of target device was relatively less (20%) during the time. We performed 500 h of light exposure test with the encapsulated control (bare FAPbI3 device) and target devices (w/ 1.67 mol% 2D PVSK). The encapsulated devices were exposed to ca. 0.9 sun (90 ± 5 mW cm−2) under open-circuit condition, of which the steady-state PCE was periodically measured for different exposure time. As seen in Fig. 5c, both of the devices showed a rapid initial decay in PCE followed by slower decay with an almost linear profile, which is in agreement with previous reports42. After 500 h of exposure, the control device degraded to ca. 52.3% of its initial PCE whereas the target device maintained 72.3% of the initial PCE, indicating enhanced stability with addition of 2D PVSK. We could extract tentative T80 (time at which PCE of the device decays to 80% of initial PCE) for the devices by fitting of the post-burn-in region in which the PCE of the device shows an almost linear decay profile (after 48 h). The T80 for control and target devices were calculated to be 592 h and 1362 h, respectively. This indicates the stability of the device was significantly improved with addition of 2D PVSK. We also performed MPP tracking of the encapsulated target device under 1 sun (100 mW cm2) illumination in Supplementary Fig. 28. A total of 18.7% of initial PCE was degraded for 130 h of operation, which is relatively slower compared to the device maintained at open-circuit condition. This is correlated with previous studies that attributed the faster degradation under open-circuit condition to larger number of photo-generated charge carriers recombining within the device43. Under operational condition with abundant photo-generated charges and built-in electric field, the major factors causing the degradation of the devices might be the highly mobile and reactive charged defects (ions) and/or trapped charge carriers associated with it42,44. We suppose that migration of the charged defects or ions is possibly suppressed by 2D PVSK at grain boundaries. The temperature-dependent conductivity (σ) measurement of the lateral devices was performed to evaluate the activation energy for the ion migration (Fig. 6). The activation energy (Ea) for the migration can be determined according to the Nernst-Einstein relation42,

$$\sigma \left( T \right) = \frac{{\sigma _0}}{T}{\mathrm{exp}}(\frac{{ - E_{\mathrm{a}}}}{{kT}}),$$

where k is Boltzmann constant, σ0 is a constant. Inset of Fig. 6a describes the structure of the lateral devices. With bare FAPbI3 PVSK, exponential enhancement in conductivity was clearly identified at around 130 K (Fig. 6a), which is attributed to contribution of ions. The Ea for bare FAPbI3 film was calculated to be 0.16 eV, indicating significant contribution of activated ions at room temperature, which might cause degradation of the material and device under operational condition with built-in electric field. The pronounced current–voltage hysteresis behavior was observed even at very low temperature (180 K, Fig. 6c). In case of the PVSK film with 2D PVSK, the film did not show noticeable enhancement in conductivity with increased temperature; although, the overall conductivity was relativity lower than the bare FAPbI3 film (Fig. 6c). Even with moderate light illumination, it does not show the indicative of activated ions. As a result, the current–voltage curve did not show any hysteresis behavior (Fig. 6d). As the grain boundaries of 3D perovskite were reported to be a major pathway for the migration of ions39, passivating the grain boundaries by incorporation of the ion-migration-immune 2D PVSK likely suppressed overall ion migration in the target device45. In addition, the improved phase purity of the film might also partially contribute to the suppressed ion migration because the secondary phase can generate defect sites that can act as an additional pathway for ion migration. We believe the suppressed ion migration contributes to enhanced operational stability of the target device.

## Discussion

We demonstrated a reproducible way to fabricate phase-pure formamidinium tri-iodide PVSK with high-optoelectronic quality and stability by incorporating 2D PVSK. The large phenylethylammonium molecules from 2D PVSK precursors interact with FAPbI3 crystals to facilitate formation of the cubic PVSK phase during crystallization, which subsequently functionalize the grain boundaries after completion of the crystallization. The resulting phase-pure PVSK film has an identical Eg (1.48 eV) to that of pure FAPbI3 with an order of magnitude enhanced PL lifetime. Average PCE of 20.05 ± 0.45% over 74 devices and the highest stabilized PCE of 20.64% (certified stabilized PCE of 19.77%) was achieved. Regardless of its low Eg, the PVSK solar cell showed the peak VOC of 1.130 V, corresponding to the lowest loss-in-potential of 0.35 V among all the reported PVSK solar cells. Owed to the functionalized grain boundaries by the 2D PVSK, the phase stability of the film under high RH significantly improved and migration of ions (or charged defects) was suppressed, resulting in significantly improved ambient and operational stability of the device. We believe our approach to utilize spontaneously formed grain boundary 2D PVSK will provide important insights for the research community to design PVSK materials to achieve record PCEs accompanied by high stability and longevity.

## Methods

### Synthesis of phenylethylammonium iodide

In a typical synthesis, 4.8 g of phenethylamine (39.6 mmol, Aldrich, >99%) was dissolved in 15 mL of ethanol and placed in iced bath. Under vigorous stirring, 10.8 g of hydroiodic acid (57 wt% in H2O, 48.1 mmol, Sigma-Aldrich, 99.99%, contains no stabilizer) was slowly added to the solution. The solution was stirred overnight to ensure complete reaction, which was followed by removal of the solvent by a rotary evaporator. The resulting solid was washed with diethyl ether several times until the color is changed to white. The white solid was further purified by recrystallization in mixed solvent of methanol and diethyl ether. Finally, white plate-like solid was filtered and dried under vacuum (yield around 90%).

### Device fabrication

Indium doped tin oxide (ITO) glass was cleaned with successive sonication in detergent, deionized (DI) water, acetone and 2-propanol for 15 min, respectively. The cleaned substrates were further treated with UV-ozone to remove the organic residual and enhance the wettability. A total of 30 mM SnCl2∙2H2O (Aldrich, >99.995%) solution was prepared in ethanol (anhydrous, Decon Laboratories Inc.), which was filtered by 0.2 μm syringe filter before use. To form a SnO2 layer, the solution was spin-coated on the cleaned substrate at 3000 rpm for 30 s, which was heat-treated at 150 °C for 30 min. After cooling down to room temperature, the spin-coating process was repeated one more time, which was followed by annealing at 150 °C for 5 min and 180 °C for 1 h. The SnO2 coated ITO glass was further treated with UV-ozone before spin-coating of PVSK solution. The PVSK layer was prepared by the modified adduct method26. The bare FAPbI3 layer was formed from the PVSK solution containing equimolar amount of HC(NH2)2I (FAI, Dyesol), PbI2 (TCI, 99.99%) and N-Methyl-2-pyrrolidone (NMP, Sigma-Aldrich, anhydrous, 99.5%) in N,N-Dimethylformamide (DMF, Sigma-Aldrich, anhydrous, 99.8%). Typically, 172 mg of FAI, 461 mg of PbI2 and 99 mg of NMP were added to 600 mg of DMF. For the 2D PVSK (PEA2PbI4) and Cs incorporated PVSK, corresponding amount of FAI was replaced with PEAI and CsI. For example, FAPbI3 with 1.67 mol% PEA2PbI4 PVSK was formed from the precursor solution containing 166.4 mg of FAI, 8.2 mg of phenylethylammonium iodide (PEAI), 453.4 mg of PbI2 and 97.4 mg of NMP in 600 mg of DMF. With 2 mol% of Cs, the precursor solution was prepared by mixing 163.0 mg of FAI, 8.2 mg of PEAI, 5.0 mg of CsI (Alfa Aesar, 99.999%), 453.4 mg of PbI2 and 97.4 mg of NMP in 600 mg. For the best performing devices in Fig. 2d, the amount of DMF was adjusted to 550 mg. Spin-coating of PVSK and hole transporting layer was performed in a glove box filled with dry air. The PVSK solution was spin-coated at 4000 rpm for 20 s where 0.15 mL of diethyl ether (anhydrous, >99.0%, contains BHT as stabilizer, Sigma-Aldrich) was dropped after 10 s on the spinning substrate. The resulting transparent adduct film was heat-treated at 100 °C for 1 min followed by 150 °C for 10 min. (for the best performing target device, the annealing condition was adjusted to 80 °C 1 min followed by 150 °C for 20 min) The spiro-MeOTAD solution was prepared by dissolving 85.8 mg of spiro-MeOTAD (Lumtec) in 1 mL of chlorobenzene (anhydrous, 99.8%, Sigma-Aldrich) which was doped by 33.8 μl of 4-tert-butylpyridine (96%, Aldrich) and 19.3 μl of Li-TFSI (99.95%, Aldrich, 520 mg mL−1 in acetonitrile) solution. The spiro-MeOTAD solution was spin-coated on the PVSK layer at 3000 rpm for 20 s by dropping 17 μl of the solution on the spinning substrate. On top of the spiro-MeOTAD layer, ca. 100 nm-thick silver or gold layer was thermally evaporated at 0.5 Ås−1 to be used as an electrode.

### Material characterization

The PVSK layer was coated on a SnO2 coated ITO substrate for the measurements. UV-vis absorption spectra were recorded by U-4100 spectrophotometer (Hitachi) equipped with integrating sphere. The monochromatic light was incident to the substrate side. X-ray diffraction (XRD) patterns were obtained by X-ray diffractometer (PANalytical) with Cu kα radiation at a scan rate of 4° min−1. Surface and cross-sectional morphology of the films and devices were investigated by scanning electron microscopy (SEM, Nova Nano 230). For the cross-sectional image, cross-sectional surface of the sample was coated with ca. 1 nm-thick gold using sputter to enhance the conductivity. Transmission electron microscopic (TEM) analysis was performed by Titan Krios (FEI). The PVSK film was scratched off from the substrate and dispersed in toluene by sonication for 10 min, which was dropped on an aluminium grid. Accelerating voltage of 300 kV was used for the measurement. Steady-state photoluminescence (PL) signal was analyzed by a Horiba Jobin Yvon system. A 640 nm monochromatic laser was used as an excitation fluorescence source. Time resolved PL decay profiles were obtained using a Picoharp 300 with time-correlated single-photon counting capabilities. The films were excited by a 640 nm pulse laser with a repetition frequency of 100 kHz provided by a picosecond laser diode head (PLD 800B, PicoQuant). The energy density of the excitation light was ca. 1.4 nJ cm−2, in which carrier annihilation and non-geminate recombination are negligible34. Ultraviolet photoelectron spectroscopic (UPS) analysis was carried out using Kratos Ultraviolet photoelectron spectrometer. He I (21.22 eV) source was used as an excitation source. The PVSK films were coated on ITO substrate and grounded using silver paste to avoid the charging during the measurement. Conductive atomic force microscopic (AFM) measurement was performed by Bruker Dimension Icon Scanning Probe Microscope equipped with TUNA application module. The TUNA module provides ultra-high tunneling current sensitivity (<1 pA) with high-lateral resolution. Antomony doped Si tip (0.01–0.025 Ohm-cm) coated with 20 nm Pt-Ir was used as a probe. To avoid the electrically driven degradation during the measurement, low bias voltage (100 mV) was applied. The measurement was carried out under either room right or low intensity light illumination provided by AFM setup. The temperature-dependent conductivity measurement was carried out using a commercial probe station (Lakeshore, TTP4) in which temperature of the device was controlled by thermoelectric plate and flow of liquid nitrogen. The electrical measurement was conducted with a source/measurement unit (Agilent, B2902A).

### Device characterization

Current density–voltage (JV) curves of the devices were measured using Keithley 2401 source meter under simulated one sun illumination (AM 1.5G, 100 mW cm−2) in ambient atmosphere. The one sun illumination was generated from Oriel Sol3A with class AAA solar simulator (Newport), in which light intensity was calibrated by NREL-certified Si photodiode equipped with KG-5 filter. Typically, the JV curves were recorded at 0.1 Vs−1 (between 1.2 V and −0.1 V with 65 data points and 0.2 s of delay time per point). During the measurement, the device was covered with metal aperture (0.100 cm2) to define the active area. All the devices were measured without pre-conditioning such as light-soaking and applied bias voltage. Steady-state power conversion efficiency was calculated by measuring stabilized photocurrent density under constant bias voltage. The external quantum efficiency (EQE) was measured using specially designed system (Enli tech) under AC mode (frequency = 133 Hz) without bias light. For electroluminescence measurement, a Keithley 2400 source meter and silicon photodiode (Hamamatsu S1133-14, Japan) were used to measure Current–voltage–luminance characteristics of PVSK solar cells. Electroluminescence spectra were recorded by Horiba Jobin Yvon system, and used to calculate radiance and external quantum efficiency of PVSK solar cells. All the devices were assumed as Lambertian emitter in the calculation.

### Stability test

Moisture stability of the films was tested by exposing the PVSK films under relative humidity of 80 ± 5% and room light. Absorbance of the films was measured every 2 h while XRD of the films were recorded every 12 h. For the devices, ex-situ test was conducted by storing the devices in desiccator (relative humidity, RH <30%) under dark condition. The device was taken out and measured in ambient condition. For operational stability, maximum power point (MPP) tracking and continuous light exposure under open-circuit condition were performed in ambient condition (RH around 50%, T around 40 °C). For the MPP tracking, the photocurrent density was monitored while the devices were biased at MPP under 1 sun illumination. For light exposure under open-circuit condition, the encapsulated devices were exposed to ca. 0.9 sun (90 ± 5 mW cm−2) generated by halogen lamps under open-circuit condition, of which steady-state PCE was periodically measured with different exposure time under 1 sun illumination. The encapsulation of the device was performed inside the glove box filled with nitrogen by using an UV-curable adhesive and a piece of glass. The glass substrate was superimposed on active layer and fixed with the UV-curable adhesive.

### Data availability

The authors declare that the data supporting the findings of this study are available within the paper and its supplementary information files.

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## Change history

• ### 03 September 2018

This Article was originally published without the accompanying Peer Review File. This file is now available in the HTML version of the Article; the PDF was correct from the time of publication.

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## Acknowledgements

This work was supported by the Air Force Office of Scientific Research (AFOSR, Grant No. FA9550-15-1-0333), Office of Naval Research (ONR, Grant No. N00014-17-1-2484), National Science Foundation (NSF, Grant No. ECCS-EPMD-1509955), and Horizon PV.

## Author information

### Affiliations

1. #### Department of Materials Science and Engineering and California NanoSystems Institute, University of California, Los Angeles, CA, 90095, USA

• Jin-Wook Lee
• , Zhenghong Dai
• , Tae-Hee Han
• , Chungseok Choi
• , Sheng-Yung Chang
• , Sung-Joon Lee
• , Nicholas De Marco
• , Hongxiang Zhao
• , Pengyu Sun
• , Yu Huang
•  & Yang Yang

### Contributions

J.-W.L. conceived an idea and led overall project under supervision of Y.Y. J.-W.L. and Z.D. fabricated devices and characterized the materials. T.-H.H. assisted the device fabrication and performed EL measurement. C.C. and Y.H. carried out TEM characterization. S.-Y.C. helped UPS measurement. S.L. performed temperature-dependent conductivity measurement. H.Z. synthesized the PEAI. N.D.M. and P.S. commented on the manuscript. All the authors discussed and commented on the manuscript.

### Competing interests

The authors declare no competing interests.

### Corresponding author

Correspondence to Yang Yang.