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[Takeshi YASUDA](https://orcid.org/0000-0003-4652-9105), [Kenji SAKAMOTO](https://orcid.org/0000-0002-1379-874X)

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This is the Accepted Manuscript version of an article accepted for publication in Japanese Journal of Applied Physics.  IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.  The Version of Record is available online at https://dx.doi.org/10.35848/1347-4065/ad8240

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[Current density-voltage characteristics of exciplex-type organic light-emitting diodes expressed by a simple analytic equation](https://mdr.nims.go.jp/datasets/e0b707ed-5ef8-461b-be30-a791005a320f)

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Japanese Journal of AppliedPhysics     ACCEPTED MANUSCRIPTCurrent density-voltage characteristics of exciplex-type organic light-emitting diodes expressed by a simple analytic equationTo cite this article before publication: Takeshi YASUDA et al 2024 Jpn. J. Appl. Phys. in press https://doi.org/10.35848/1347-4065/ad8240Manuscript version: Accepted ManuscriptAccepted Manuscript is “the version of the article accepted for publication including all changes made as a result of the peer review process,and which may also include the addition to the article by IOP Publishing of a header, an article ID, a cover sheet and/or an ‘AcceptedManuscript’ watermark, but excluding any other editing, typesetting or other changes made by IOP Publishing and/or its licensors”This Accepted Manuscript is © 2024 The Japan Society of Applied Physics. 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Before using any content from thisarticle, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permissions may be required.All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption in the Version of Record.View the article online for updates and enhancements.This content was downloaded from IP address 144.213.253.16 on 03/10/2024 at 02:26https://doi.org/10.35848/1347-4065/ad8240https://creativecommons.org/licences/by-nc-nd/3.0https://doi.org/10.35848/1347-4065/ad8240  1 Current density-voltage characteristics of exciplex-type organic light-emitting diodes expressed by a simple analytic equation Takeshi Yasuda* and Kenji Sakamoto Research Center for Macromolecules and Biomaterials, National Institute for Materials Science (NIMS), 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan *E-mail: YASUDA.Takeshi@nims.go.jp  Exciplex-type bilayer organic light-emitting diodes (OLEDs) with ohmic contacts exhibited current density-voltage (J-V) characteristics that closely matched a simplified analytical model proposed by Nikitenko and Bässler. The analytical model is based on the following key assumptions: (i) complete hole-electron recombination at the interface between a hole transport layer (HTL) and an electron transport layer (ETL), (ii) ohmic contacts at the interfaces between metal electrodes and carrier transport layers, and (iii) electric-field-independent carrier mobilities in both HTL and ETL. The excellent matching shows that the simplified analytical model is sufficient to describe the J-V characteristics of the OLEDs. We also demonstrated that if the carrier mobility of one carrier transport layer is known, that of the other transport layer can be estimated using the equation derived by the simplified analytical model. The simplified analytical model provides a useful method to estimate carrier mobilities within carrier transport layers themselves in OLEDs.                      Page 1 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  2 1. Introduction In organic light-emitting diodes (OLEDs) in practical use, the hole and electron currents flow in a good balance and high luminescence is realized. The high-efficiency OLEDs have a multi-layered thin film structure consist of transparent anode/hole injection layer/hole transport layer (HTL)/light emitting layer/electron transport layer (ETL)/electron injection layer/cathode.1,2) Due to the existence of carrier injection barrier at each interface, whose height is difficult to determine accurately, and the variations in carrier mobilities among the layers for such multi-layer OLEDs, it is challenging to obtain the current density-voltage (J-V) characteristics analytically. Numerical simulations including parameters being experimentally unknown are usually performed to analyze the J-V characteristics.3,4 In 2001, Nikitenko and Bässler reported that the J-V characteristic of bilayer OLEDs whose structure is anode/HTL/ETL/cathode can be expressed analytically under the following three assumptions; (i) all of holes and electrons injected from the anode and cathode, respectively, recombine at the interface between HTL and ETL. In other words, electrons and holes do not recombine in either layer beyond carrier injection barriers between HTL and ETL; (ii) the interfaces between electrodes and carrier transport layers show ohmic contacts (i.e., there is no carrier injection barrier at the interface), and space-charge-limited current (SCLC) flows in each transport layer; (iii) the carrier mobilities in HTL and ETL are independent of electric field. In such a case, the J-V characteristic is simply expressed by:5)                                 𝐽 = 𝐵(𝑉 − 𝑉bi)2       for    𝑉 > 𝑉bi  ,                        (1)  where Vbi is a built-in potential and B is a constant related to mobilities and thicknesses of HTL and ETL. Furthermore, they extended Equation (1) to the case where carrier mobilities are electric field dependent, and by solving the expanded formula numerically, they successfully reproduced the J-V characteristics of OLEDs reported by other research groups. Unfortunately, since there were no results on OLEDs that sufficiently satisfied the above three assumptions at that time, the usefulness of Equation (1) was not confirmed in their paper. To the best of our knowledge, there have been no reports of quantitative analysis using Equation (1) for OLEDs since 2001. The only example of analysis using Equation (1) for organic thin-film devices is a report on the J-V characteristics in the dark of bilayer organic photovoltaic cells (OPVs) with the structure of ITO/PEDOT:PSS/substituted polythiophene (40 nm)/partially crystalline C60 (31, 72, and 87 nm)/Al.6) The J-V characteristics of each OPV could be reproduced fairly well by Page 2 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  3 Equation (1). However, the C60 film thickness dependence of the J-V characteristics could not be explained. This is because the mobility of all C60 films with a thickness of less than 100 nm was assumed to be the same, despite differences in thickness and film quality.  Exciplex-type OLED, which has recently attracted attention due to their potential for improving quantum efficiencies through thermally activated delayed fluorescence (TADF),7-9) lowering operating voltage,10-12) and customizing emission spectra,13,14) is one of the candidates that satisfy the above all assumptions. In such OLEDs, exciplexes are generated at the interface between HTL and ETL, emitting light from the interface. Thus, the assumption (i) is satisfied automatically. In addition, to form exciplexes at the interface between HTL and ETL, HTLs with a small ionization potential and ETLs with a large electron affinity are generally utilized. These HTLs and ETLs could easily form ohmic contacts by selecting the anode and cathode electrode materials. Thus, the assumption (ii) can also be satisfied by suitable material selection. Moreover, exciplex-type OLEDs can be driven at low voltages. For example, there is a report that 1000 cd/m2 can be obtained at 3 V or less, and the range of the driving voltage (i.e., the electric field) is narrow.15) Although a carrier mobility μ in an amorphous thin film used in OLEDs often depends on an electric field E (V/cm) as the following equation: μ = μ0exp(βE1/2), where μ0 is a zero-field mobility and β is a coefficient characterizing charge transfer activation energy, the mobility can be considered constant within a narrow electric field range. Moreover, the dependence of carrier mobilities on the electric field was reported to be very small in some HTLs and ETLs.16-18) Therefore, the assumption (iii) may be well satisfied in exciplex-type OLEDs. In this study, we confirmed that the J-V characteristics in exciplex-type bilayer OLEDs can be reproduced by Equation (1). To show the usefulness of Equation (1), we demonstrated that if the mobility of one carrier transport layer is known, that of the other transport layer can be estimated. Equation (1) derived from simplified analytical model provides a useful method to estimate the carrier mobilities within carrier transport layers themselves in OLEDs. In advanced exciplex-type OLEDs, an exciplex host layer including guest emission molecules is inserted between HTL and ETL to increase the interface area. The exciplex host layer is formed by co-deposition of HTL, ETL, and guest emission molecules. As the exciplex host layer requires a good balance in the effective mobilities between holes and electrons, the mobilities estimated in this method would be useful in determining the volume ratio of HTL and ETL materials in the exciplex host layer.19,20)    2. Experimental methods Page 3 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  4 Exciplex-type bilayer OLEDs were fabricated in the following configuration: ITO/PEDOT:PSS/HTL/ETL/LiF/Al. In this study, m-MTDATA was selected and fixed as the HTL material, and BPhen and SPPO1 were used as the ETL materials. Their chemical structures are shown in Figure 1. These materials were selected because exciplex emission from the m-MTDATA/BPhen interface has been reported and SPPO1 has an excellent hole blocking property.21-23) m-MTDATA, BPhen, and SPPO1 were purchased from Lumtec, Wako, and Tokyo Chemical Industry, respectively, and purified by thermal sublimation before use. PEDOT:PSS (Clevios P VP AI 4083) purchased from Heraeus was used as received. To obtain an ohmic contact between an electrode and a carrier transport layer, the electrode with an appropriate work function was selected against HOMO and LUMO energy levels in HTL and ETL, respectively. (In this paper, HOMO and LUMO energy levels with respect to the vacuum level are expressed as absolute values. Therefore, HOMO energy and ionization potential, as well as LUMO energy and electron affinity, have the same meaning.) In this study, PEDOT:PSS with a work function (5.1~5.2 eV)24,25) close to the HOMO energy of m-MTDATA (5.1 eV)21,22) was used as the hole injection electrodes. Similarly, LiF/Al with a work function of 2.6~2.9 eV26,27) was used as the electron injection electrodes to ETLs of both BPhen and SPPO1 whose LUMO energies are 2.5~2.9 eV21,22,24) and 2.7 eV,23) respectively. ITO glass substrates purchased from GEOMATEC were used as OLED substrates. The substrate was cleaned in acetone and ethanol with an ultrasonic cleaner and then treated with an ultraviolet-ozone cleaner. A thin layer (40 nm) of PEDOT:PSS was spin-coated onto the ITO at 3000 rpm and air-dried on a hot plate at 110 °C for 10 min. The substrate was then transferred to a N2-filled glove box, where it was re-dried on a hot plate at 110 °C for 10 min. The PEDOT:PSS layer functions as not only a hole-injection layer but also a smoothing layer to reduce the surface roughness of the anode electrode. Then, m-MTDATA (40 nm), ETL (40 nm), LiF (1 nm), and Al (100 nm) were deposited in this order with conventional thermal evaporation through metal masks at a chamber pressure lower than 5 × 10−4 Pa. The emitting area of obtained OLEDs was 2 × 2 mm2. The current-voltage characteristics and luminance of OLEDs were simultaneously measured using an ADCMT 6245 DC voltage current source/monitor (ADC Corporation) and an LS-100 luminance meter (Konica Minolta, Inc.), respectively. The electroluminescence (EL) spectra were measured using an array spectrometer (MCPD-9800-311C, Otsuka Electronics Co, Ltd.). The characteristics of OLEDs were measured under a N2 atmosphere. The Page 4 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  5 photoluminescence (PL) spectra were recorded with a JASCO FP-6500.  3. Results and discussion The EL spectra of bilayer OLEDs fabricated in this study are shown in Figure 2, together with the PL spectra of individual HTL and ETLs. The relatively broad EL emission with a single peak at 556 (507) nm was observed for OLEDs with m-MTDATA/BPhen (m-MTDATA/SPPO1). The PL emission peak wavelengths of the m-MTDATA, BPhen, and SPPO1 layers were 428, 387, and 347 nm, respectively. The EL spectra are different from the PL spectrum of the constituent carrier transport layers and red-shifted, which are characteristic features of exciplex emission. Only in the EL spectrum of m-MTDATA/SPPO1, weak emission from m-MTDATA was observed as a shoulder of the exciplex emission peak. This emission is likely attributed to electron transfer from the exciplex to the triplet excited state of m-MTDATA, followed by triplet-triplet annihilation leading to emission from the singlet excited state of m-MTDATA.15) Therefore, the assumption (i) is satisfied for both OLEDs, as the observed EL emission, including the weak emission from m-MTDATA, is generated via the formation of exciplexes at the HTL/ETL interfaces. The J-V characteristics of the two OLEDs are presented in Figure 3, along with the best fit results using Equation (1). As reference data, the characteristics of luminance-voltage and external quantum efficiency (EQE)-current density are provided in Figure S1. To clearly show that the J is proportional to the square of (V-Vbi), the J-V characteristics were re-plotted on a vertical scale of the square root of J in Figure 3(b) and on a log-log scale in Figure S2. From these figures, it is seen that the experimental data can be reproduced fairly well by Equation (1) over the operating voltage range of the OLEDs. In the low voltage region around Vbi, a slight discrepancy between the fitting curves and the experimental data is seen for both OLEDs. This discrepancy is likely due to the diffusion current, which was neglected in the derivation of Equation (1), and/or the leakage current caused by microscopic pinholes in the thin films. Therefore, the good agreement between the fitting curves and the experimental data over the operating voltage range of the OLEDs indicates that all three assumptions used in the derivation of Equation (1) hold true for the two OLEDs. The values of B and Vbi obtained from the fitting are listed in Table 1 along with the EL emission peak energies. Now, we discuss the coefficient B in Equation (1). The coefficient B is related to the film thickness Li, the carrier mobility μi, and the relative permittivity εi of HTL (i = h) and ETL Page 5 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  6 (i = e) by the following equation:28)         𝐵 =9𝜀0 8 {𝐿h32(𝜀h𝜇h)12 +  𝐿e32(𝜀e𝜇e)12}−2,                                (2) where ε0 represents the vacuum permittivity. Since EL intensity is roughly proportional to J in bilayer exciplex-type OLEDs, Equation (2) provides guidelines for increasing EL intensity. Since the relative permittivity εi is about 3 for majority of HTL and ETL materials used in OLEDs,29-30) EL intensity can be increased by lowering Lh3/2/h1/2 and Le3/2/e1/2 in a balanced manner. To prevent pinholes from forming in HTL and ETL and achieve high EL intensity at the same time, the total film thickness Lh + Le is designed in the range of 80 to 100 nm in most cases. The carrier mobilities in carrier transport layers depend on the film thickness in the sub-200 nm range.31-33) The thickness dependence is believed to come from the energetic disorder of carrier hopping sites, which is induced by the disorder in the molecular orientation near the electrode on the device substrate.34) Therefore, knowing the carrier mobilities in carrier transport layers with the same quality and film thickness as in OLEDs is important for device design. Interestingly, it can be seen that if the value of either the μh, or the μe is known, the remaining mobility can be derived from the value of B using Equation (2). In this study, the values of B were already obtained for the two OLEDs (See Table 1). Next, we will estimate the carrier mobilities in the constituent HTL and ETLs of the two OLEDs and discuss the validity of estimated mobilities to confirm the usefulness of Equation (1).  As explained above, both carrier mobilities of HTL and ETL cannot be estimated at the same time from Equation (2). Thus, the carrier mobility in either HTL or ETL with the same quality and film thickness as in the OLEDs must be determined from separate experiments. As the OLEDs were fabricated on ITO/PEDOT:PSS substrates, hole-only devices with HTL having the same disorder in the molecular orientation as in the OLEDs can be fabricated, but electron-only devices cannot. Thus, hole-only devices with the structure of ITO/PEDOT:PSS/m-MTDATA (40 nm)/HAT-CN (5 nm)/Ag were fabricated, and the hole mobility of 40 nm-thick HTL (m-MTDATA) was first determined by fitting the J-V characteristics with the equation of SCLC assuming a constant carrier mobility:                                      𝐽 =98𝜇ℎ𝜀ℎ𝜀0(𝑉 − 𝑉𝑏𝑖)2𝐿ℎ3                                                  (3) Figure 4 shows a typical J-V characteristic of the hole-only devices along with the best fit result. The electric-field-independent μh, determined from the devices was (7 ± 1) × 10-6 Page 6 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  7 cm2V-1s-1. The good agreement between the experimental data and the best fit result was obtained over a relatively wide range of square root of electric field from 350 to 1200 V1/2cm-1/2. Here, the average electric field (E) in the HTL was obtained by dividing (V – Vbi) by Lh. This result indicates that the electric-field-dependence of the μh in the 40 nm-thick m-MTDATA layer is very small, if exists, and supports the validity of assuming an electric-field-independent μh for the 40 nm-thick m-MTDATA layer. Before proceeding to the estimation of μe, we should discuss the validity for the value of μh determined above. This is because its value greatly influences the estimation of μe in ETLs. Zhang et al. reported the electric-field-dependent μh of a 90 nm-thick m-MTDATA layer,35) which is given by μh = μ0exp(βE1/2) with μ0 = 3.1  10-6 cm2V-1s-1 and β = 2.7  10-3 cm1/2 V-1/2 and shown in Figure S3, together with the result in this study. This mobility was determined from the SCLC measurement for a hole-only device formed on an ITO/MoO3 substrate. Since we were interested in the mobility in the electric field range during OLED operation, we decided to compare the μh in the electric field range where the brightness of OLEDs was greater than 100 cd/m2. The electric field in the HTL of an OLED was approximated by the average electric field obtained by dividing (V - Vbi) by 80 nm (= Lh + Le). The ranges of the square root of electric field (E1/2) for brightness > 100 cd/m2 were 230 to 530 V1/2cm-1/2 for the OLED with m-MTDATA/BPhen and 380 to 660 V1/2cm-1/2 for the OLED with m-MTDATA/SPPO1. As shown in Figure S3, the μh of our 40 nm-thick m-MTDATA layer was nearly equal to that of the 90 nm-thick m-MTDATA layer in the range of 230 < E1/2 < 400 V1/2cm-1/2, but was smaller in the range of 400 < E1/2 < 660 V1/2cm-1/2. Averaged over the whole E1/2 range of 230 to 660 V1/2cm-1/2, the μh in our 40 nm-thick layer was slightly smaller than that in the 90 nm-thick m-MTDATA layer. This is probably attributed to the thickness dependence of carrier mobilities. In the sub-200 nm thickness range, carrier mobilities were reported to decrease as the film thickness decreases.31-33) Therefore, the μh of the 40 nm-thick m-MTDATA layer estimated in this study was concluded to be quite reliable. At this stage, the electron mobilities of ETLs in the two OLEDs can be estimated using Equation (2), the values of B listed in Table 1, and the electric-field-independent μh ((7 ± 1) × 10-6 cm2V-1s-1) of the 40 nm-thick HTL (m-MTDATA). The μe obtained for the 40 nm-thick BPhen and SPPO1 layers were (5 ± 3) × 10-5 and (1.9 ± 0.7) × 10-5 cm2V-1s-1, respectively. The relatively large error for the BPhen layer is due to the larger imbalance in carrier mobilities between HTL and ETL. Figure 5 shows the relationship between μe and μh of ETL and HTL, respectively, for each value of B, when Le and Lh are equal to 40 nm. Page 7 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  8 In both OLEDs, the e in ETL was larger than the h in the m-MTDATA HTL. From Figure 5, it is seen that the e changes more steeply with small variations in the value of B and the h, as the mobility imbalance (μe/μh) increases above unity. Xu et al. reported the electric-field-dependent e of BPhen layers with different film thicknesses (50, 100, 150, 200, and 300 nm) that were determined by measuring SCLC of electron-only devices formed on ITO substrates.33) Their results are shown in Figure S4, together with the result in this study. The e at E1/2 = 550 V1/2cm-1/2 increased from 1.9  10-5 to 3.4  10-4 cm2V-1s-1 as the film thickness increased from 50 to 200 nm and then saturated. The value of  also increased from 2.8  10-3 V-1/2cm1/2 to the saturation value of 6  10-3 V-1/2cm1/2 with increasing film thickness from to 50 nm to 200 nm. The thickness dependence of  indicates that the electric-field dependence of e becomes weaker, as the film thickness decreases. This would support the validity of treating e as electric-field-independent for the 40 nm-thick layers. The electric-field-dependent e for the 200 and 300 nm-thick layers was in excellent agreement with the reported values determined from time-of-flight measurements for 9.9 and 5.3 m-thick films, which are considered to be the bulk mobility of BPhen.36,37) Thus, we believe that the e reported by Xu et al. is the most reliable among those reported for BPhen layers with sub-100 nm film thicknesses so far.33)  Compared with these data in the E1/2 range of 230 to 680 V1/2cm-1/2, the e (= (5 ± 3) × 10-5 cm2V-1s-1) of the 40 nm-thick BPhen ETL in the OLED was found to be agree within error with the those reported for the 50 and 100 nm-thick BPhen layers. In more detail, the e of the BPhen ETL in the OLED seems to be close to that of the 100 nm-thick BPhen layers in the electron-only devices. Considering the thickness dependence of e in sub 100 nm range described above, the e of BPhen ETL in the OLED is suggested to be higher than that in electron-only-devices if the thickness is the same. This can be explained by the difference in the disorder of molecular orientation. Xu et al. deposited BPhen layers directly onto ITO substrates, while the BPhen layer in the OLED was deposited on the 40 nm-thick m-MTDATA layer that was formed on the ITO/PEDOT:PSS substrate. As the m-MTDATA and PEDOT:PSS layers are supposed to reduce the surface roughness of ITO substrates, the molecular orientation should be less disturbed in the BPhen layer of the OLED. Therefore, it is understandable that the BPhen ETL in the OLED exhibits slightly higher e than that extrapolated to a thickness of 40 nm from the results reported by Xu et al. To confirm that, we fabricated electron-only devices with ITO/BPhen (40 nm)/LiF/Al Page 8 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  9 and determined the e from the SCLC measurements. A typical J-V characteristic is shown in Figure S5. The electron mobility was (1.1 ± 0.5) × 10-5 cm2V-1s-1, which was in line with the results reported by Xu et al. and lower than that of the BPhen ETL in the OLED. This result suggests the importance of evaluating the e of the ETL itself in OLEDs and also shows the usefulness of mobility evaluation with Equation (1). To our best knowledge, there are no reliable reports on the e in SPPO1 ETLs in the sub-100 nm thickness range. However, for OLEDs with device structures of ITO/HTL/light emitting layer/ETL/LiF/Al, two different research groups38,39) reported that the current density of OLEDs with SPPO1 ETLs was lower than that with BPhen ETLs, even considering the difference in Vbi. This result indicates that the e of SPPO1 ETLs is lower than that of BPhen ETLs in OLEDs, which is consistent with the relationship between the e of SPPO1 and BPhen ETLs estimated in this study. Finally, the values of Vbi obtained by fitting the J-V characteristics with Equation (1) are discussed. The value of Vbi should be correlated with the energy of exciplex emission, because both values are related to the effective energy difference between HOMO of HTL and the LUMO of ETLs. The values of Vbi were 2.40 V for m-MTDATA/BPhen and 2.89 V for m-MTDATA/SPPO1 as listed in Table 1. The energies of the emission peaks from OLEDs were 2.23 eV (556 nm) for m-MTDATA/BPhen and 2.45 eV (507 nm) for m-MTDATA/SPPO1, as shown in Figure 2. As expected, a positive correlation between the emission energy and Vbi was confirmed; that is, as the Vbi increases, the emission energy increases. It is seen that the emission energy is smaller than the energy of Vbi. Part of this difference may be due to stabilization by exciplex formation prior to emission.  4. Conclusions In this study, we have fabricated exciplex-type bilayer OLEDs with ohmic contacts exhibiting J-V characteristics that can be reproduced by Equation (1). To demonstrate the usefulness of the equation, the carrier mobilities of HTL and ETL in the OLEDs were estimated from the J-V characteristics. The e of ETLs (BPhen and SPPO1) could be derived from the value of B in Equation (1) and the h of HTL (m-MTDATA) that was separately determined from the SCLC measurement for the hole-only devices formed on the same substrates as OLEDs. The derived e of BPhen was consistent with literature values, considering the film thickness dependence and the degree of disorder in molecular orientation. We succeeded in estimating the carrier mobilities of the ETL and HTL possessing the same film thickness and quality as those in OLEDs. The estimated Page 9 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  10 mobilities will be valuable for determining the optimal volume ratio of HTL and ETL materials in an exciplex host layer and useful for the future progress of exciplex-type OLEDs.  Acknowledgments T. Yasuda would like to thank Dr. Tetsuo Tsutsui, Professor Emeritus of Kyushu University, for motivating this research. We would like to extend our thanks to Dr. Masayuki Takeuchi of NIMS for his invaluable support of our experimental work. This work was partly supported by JSPS KAKENHI Grant Number JP23K04884.   Page 10 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  11 References 1) H. Jin Jang, J. Y. Lee, G. W. Baek, J. Kwak, and J.-H. Park, J. Inf. Disp. 23, 1 (2022). 2) Y. Yin, M. U. Ali, W. Xie, H. Yang, and H. Meng, Mater. Chem. Front. 3, 970 (2019). 3) P. S. Nasab, M. D. Darareh, M. H. Yousef, and A. Rostamnejadi, Opt. Quantum Electron. 52, 271 (2020).   4) D. Berner, H. Houili, W. Leo, and L. Zuppiroli, phys. stat. sol. (a) 202, 9 (2005). 5) V. Nikitenko and H. Bässler, J. Appl. Phys. 90, 1823 (2001). 6) M. Koehler, L. S. Roman, O. Inganäs, and M. G. E. da Luz, J. Appl. Phys. 92, 5575 (2002). 7) K, Goushi, K. Yoshida, K. Sato, and C. Adachi, Nat. Photonics 6, 253 (2012). 8) H. Nakanotani, Y. Tsuchiya, and C. Adachi, Chem. Lett. 50, 938 (2021). 9) J. Gu, Z. Tang, H. Guo, Y. 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Tang, Y.-T. Chen, S.-H. Liu, P.-T. Chou, Y.-T. Hung, and K.-T. Wong, ACS Appl. Mater. Interfaces 8, 4811 (2016). 20) J.-M. Kim, C.-H. Lee, and J.-J. Kim, Appl. Phys. Lett. 111, 203301 (2017). 21) D. Wang, W. Li, B. Chu, Z. Su, D. Bi, D. Zhang, J. Zhu, F. Yan, Y. Chen, and T. Tsuboi, Appl. Phys. Lett. 92, 053304 (2008). 22) T. Zhang, B. Chu, W. Li, Z. Su, Q. M. Peng, B. Zhao, Y. Luo, F. Jin, X. Yan, Y. Gao, H. Wu, F. Zhang, D. Fan, and J. Wang, ACS Appl. Mater. Interfaces 6, 11907 (2014). 23) S. O. Jeon, K. S. Yook, C. W. Joo, and J. Y. Lee, Appl. Phys. Lett. 94, 013301 (2009). Page 11 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  12 24) M. Cai, T. Xiao, E. Hellerich, Y. Chen, R. Shinar, and J. Shinar, Adv. Mater. 23, 3590 (2011). 25) D.-H. Lee, Y.-P. Liu, K.-H. Lee, H. Chae, and S. M. Cho, Org. Electron. 11, 427 (2010). 26) C.-H. Chen, S.-C. Lin, B.-Y. Lin, C.-Y. Li, Y.-C. Kong, Y.-S. Chen, S.-C. Fang, C.-H. Chiu, J.-H. Lee, K.-T. Wong, C.-F. Lin, W.-Y. Hung, and T.-L. Chiu, Chem. Eng. J. 442, 136292 (2022). 27) S. Sato, M. Takada, D. Kawate, M. Takata, and H. Naito, Jpn. J. Appl. Phys. 58, SFFA01 (2019). 28) Although this expanded equation is different from the notation in Reference 5, it represents the same content. 29) R. L. Martin, J. D. Kress, I. H. Campbell, and D. L. Smith, Phys. Rev. B 61, 15804 (2000). 30) C. Weichsel, L. Burtone, S. Reineke, S. I. Hintschich, M. C. Gather, K. Leo, and B. Lüssem, Phys. Rev. B 86, 075204 (2012). 31) T.-Y. Chu and O.-K. Song, Appl. Phys. Lett. 90, 203512 (2007). 32) O. J. Weiß, R. K. Krause, and A. Hunze, J. Appl. Phys. 103, 043709 (2008). 33) W. Xu, K. Haq, Y. Bai, X. Y. Jiang, and Z. L. Zhang, Solid State Commun. 146, 311 (2008). 34) K. H. Cheon, J. Cho, B. T. Lim, H.-J. Yun, S.-K. Kwon, Y.-H. Kim, and D. S. Chung, RSC Adv. 4, 35344 (2014). 35) T. Zhang, N. M. Concannon, and R. J. Holmes, ACS Appl. Mater. Interfaces 12, 31677 (2020). 36) S. Naka, H. Okada, H. Onnagawa, and T. Tsutsui, Appl. Phys. Lett. 76, 197 (2000). 37) L. Chen, G. Dong, L. Duan, L. Wang, J. Qiao, D. Zhang, and Y. Qiu, J. Phys. Chem. C 113, 16549 (2009). 38) Q. Zhang, T. Komino, S. Huang, S. Matsunami, K. Goushi, and C. Adachi, Adv. Funct. Mater. 22, 2327 (2012). 39) T. Zhang, Y. Zheng, C. Wang, Y. Zhang, S. Liu, J. Ma, L. Zhang, W. Xie, P. Chen, J. Lin, and Y. Liu, Chem. Res. Chin. Univ. 33, 227 (2017).       Page 12 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  13 Figures                  Fig. 1. Chemical structures of m-MTDATA, BPhen, and SPPO1.                Page 13 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  14                       Fig. 2. EL spectra of the bilayer OLEDs fabricated in this study and PL spectra of the individual HTL: m-MTDATA and ETLs: (a) BPhen and (b) SPPO1.           Page 14 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  15                       Fig. 3. J-V characteristics of OLEDs based on m-MTDATA/BPhen and m-MTDATA/SPPO1: (a) on a semi-log scale and (b) on a vertical scale of the square root of J. The solid lines represent the best fit results using Equation (1).           Page 15 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  16              Fig. 4. Typical J-V characteristics of the hole-only devices (ITO/PEDOT:PSS/m-MTDATA (40 nm)/HAT-CN (5 nm)/Ag). Holes were injected from the PEDOT:PSS side. The inset shows the log-log plot. The solid curves are the best fit results using Equation (3).                      Page 16 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  17              Fig. 5. Relationship between electron mobilities of ETL and hole mobilities of HTL at constant B values for Le = Lh = 40 nm.                       Page 17 of 18 AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript  18  Table I.  B and Vbi in Equation (1) for the OLEDs with ITO/PEDOT:PSS/HTL/ETL/LiF/Al along with the EL emission peak energies.  HTL (40nm) / ETL (40 nm) B / mA cm-2V-2 Vbi / V EL emission peak energy / eV m-MTDATA/BPhen 16±2 2.40±0.09 2.23 m-MTDATA/SPPO1 12±1 2.89±0.07 2.45    Page 18 of 18AUTHOR SUBMITTED MANUSCRIPT - JJAP-S1104107.R1123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Accepted Manuscript