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IEEE ELECTRON DEVICE LETTERS, VOL. 29, NO. 2, FEBRUARY 2008 155 The Effects of Drain-Bias on the Threshold Voltage Instability in Organic TFTs Hsiao-Wen Zan, Member, IEEE, and Shin-Chin Kao Abstract—In this letter, the influence of drain bias on the threshold voltage instability in pentacene-based organic thin-film transistors (OTFTs) was studied. By applying different drain biases to adjust the channel carrier concentration in linear mode, the threshold voltage shift was found to be proportional to the carrier concentration. The experimental data can be well quantitatively explained by the drain bias-stress theory developed for a-Si TFTs. The outcome gives the insight of the degradation mechanism of OTFTs and is important for the design of OTFT pixel circuit, OTFT analog amplifiers, or OTFT active loads. Index Terms—Bias-stress effect, organic thin-film transistor (OTFT), pentacene, reliability. I. INTRODUCTION ECENTLY, the development of organic thin-film transistors (OTFTs) has drawn lots of attentions. Field-effect mobility comparable to that of a-Si TFTs can be obtained under a low operation voltage [1], [2]. However, the reliability of OTFTs remains a significant issue. Even when devices are encapsulated or operated in the inert environment, the threshold voltage (VT ) tends to shift under continuous bias. This biasstress effect (BSE) was observed in OTFTs with different organic active materials, different gate insulators, and different structures [3]. It was also found that the BSE was reversible after the removal of bias, and the reverse process was enhanced by applying opposite polarity bias or light irradiation. Several mechanisms have been proposed to explain the BSE, including charge trapping, ion migration, charged-state creation, and the formation of bound hole pairs (bipolaron) [4]. For OTFTs with organic dielectric, charge trapping and ion migration were found to be dominant [5]. For OTFTs with thermally grown SiO2 as the gate dielectric, charged-state creation or bipolaron formation within the organic semiconductor film, near the dielectric interface, is usually believed to be responsible for VT shifts [3]. More specifically, Northrup and Chabinyc had proposed that the state creation was due to the formation of oxygen- or hydrogen-related defects, such as C−H2 , OH , and C−HOH in organic semiconductors [6]. The bipolarons, proposed by Salleo et al., are the less mobile bound hole pairs that deplete the accumulation channel of mobile holes and cause an increase in the VT . R Manuscript received September 3, 2007. This work was supported in part by the AU Optronics Corporation, in part by the National Science Council (NSC96-2221-E-009-127-MY2), and in part by the Ministry of Economic Affairs (MOEA-96-EC-17-A-07-S1-046). The review of this letter was arranged by Editor Y. Taur. The authors are with the Department of Photonics and Display Institute, National Chiao Tung University, 300 Hsinchu, Taiwan, R.O.C. (e-mail: hsiaowen@ mail.nctu.edu.tw; [email protected]). Digital Object Identifier 10.1109/LED.2007.914081 Both the state creation and the bipolaron formation suggest that the reaction rate should be proportional to the carrier concentration. Thus, the gate-BSE can be explained. However, to the best of our limited knowledge, there is no other observation directly validating the proportionate relationship between the reaction rate and the carrier concentration. In linear mode, drain bias can be useful to adjust the carrier concentration. Thus, its influence on the BSE of OTFTs is worth investigating. Although the drain bias effect in OTFTs with organic dielectric had been studied to discuss its influence on ion migration [5], the effect on OTFTs with stable dielectric had not been carefully investigated before. This letter clearly demonstrates that a modified BSE model (including drain-bias effects) in a-Si TFTs can be applied on OTFTs with SiO2 dielectric. The result is useful for the development of OTFTs in organic electronics. II. EXPERIMENTAL In this letter, conventional top-contact pentacene-based OTFTs were used. To serve as the gate dielectric, 100-nm-thick thermal oxide was grown on heavily doped Si wafers. Then, pentacene obtained from Aldrich without any purification was evaporated through shadow mask onto the thermal oxide to form the active layer. The deposition rate was controlled at 0.5 Å/s, while the substrate temperature was kept as 70 ◦ C. After the formation of 100-nm-thick pentacene, 100-nm-thick gold was deposited through the shadow mask to form the source/drain contacts. The device channel width and length were defined as 1000 and 600 µm, respectively. Two series of bias-stress measurements were performed: one with zero drain bias and various gate biases, and the other with a fixed gate bias and different drain biases. III. RESULTS AND DISCUSSION First, we analyze the BSE with zero drain bias. With source and drain connected to ground, various gate biases were used as the stress conditions (VDS = 0 V, VG − VTini = −5, −10, and − 15 V, where VTini is the initial threshold voltage). The linear-region transfer characteristics of the devices before stress and after 2000 s stress are depicted in Fig. 1(a). All the devices exhibit similar original characteristics, so only one curve is shown to represent the characteristics before stress. Obviously, the gate-bias stress causes a shift of the transfer characteristics, while the subthreshold swing keeps almost unchanged. The shift of threshold voltage VT and the shift of field-effect mobility µFE are shown as a function of stress time in Fig. 1(b) and (c), respectively. µFE is not affected by the stress, while VT is drastically changed. Such a phenomenon is often believed to 0741-3106/$25.00 © 2008 IEEE 156 IEEE ELECTRON DEVICE LETTERS, VOL. 29, NO. 2, FEBRUARY 2008 Fig. 1. (a) Transfer characteristics of OTFTs before and after 2000 s gate bias stress. The stress conditions are: V G − V Tin i = −5, −10, and −15 V, V D S = 0 V. (b) Shift of threshold voltage and (c) the shift of mobility as a function of stress time. Fig. 2. (a) Shift of mobility. (b) Shift of threshold voltage as a function of stress time when different drain biases (V D S = 0, 5, 10, and 15 V) were added to the bias-stress measurement while the gate bias was fixed as V G − V Tin i = −15 V. be caused by the generation of deep states with long discharge time that degrade VT . The shallow traps that would affect µFE may not be changed by the gate bias stress [7]. The power-law dependence between the threshold voltage shift and the stress time is also found in Fig. 1(b). This can be explained by the approximation of the OTFT BSE model, in which the stretched exponential function reduces to the simple power-law function when the stress time is much less than the effective trapping time τ [8]. Then, different drain biases (VDS = 0, 5, 10, and 15 V) were added to the bias-stress measurement while the gate bias was fixed as VG − VTini = −15 V. The shift of µFE is plotted as a function of stress time in Fig. 2(a). Unchanged µFE is observed, and consequently, the influence of drain-bias stress on ZAN AND KAO: EFFECTS OF DRAIN-BIAS ON THE THRESHOLD VOLTAGE INSTABILITY IN ORGANIC TFTs Fig. 3. Threshold voltage shift ratio (∆V T D /∆V T 0 ) and the normalized channel charge (Q G /Q G 0 ) as a function of stressed drain bias, while the stressed gate bias was fixed as V G − V Tin i = −15 V. 157 tion of drain bias in Fig. 3. The calculated normalized channel charge defined as QG /QG 0 is also shown in Fig. 3, where QG is the channel charge when VDS is varied and QG 0 is the channel charge when VDS = 0. The equations used to calculate QG and QG 0 are expressed in Ref [9]. Good agreement can be observed between ∆VTD /∆VT 0 and the calculated QG /QG 0 curve. The result verifies the proportionate relationship between the defect creation rate and the carrier concentration. Also, the result suggests that convergent data can be obtained by plotting the restored threshold voltage shift ∆VTD (QG 0 /QG ) as a function of stress time, as shown in Fig. 4. The restored threshold voltage shift excludes the drain bias effect and can be used to extract the parameters associated with the defect creation kinetics. For example, when the stretched exponential function is used, the dispersion parameter β can be obtained by plotting log{− ln[1 − ∆VTD (QG 0 /QG )/(VGS − VTini )]} as a function of log(t) in the inset of Fig. 4. Detailed description of the stretched exponential function can be found in Ref. [8].1 The parameters extracted from our devices are given as follows. IV. CONCLUSION This letter presents the drain bias influence on VT of OTFTs in bias stress measurement. It verifies that, for OTFTs with SiO2 dielectric, the shift of VT is proportional to the channel charge amount as in a-Si TFTs. The results can be used to predict the reliability of OTFTs when OTFTs are applied on analog circuits such as the OLED pixel circuit. REFERENCES Fig. 4. Restored threshold voltage shift as a function of stress time. The theoretical curve given by ∆V T D × (Q G 0 /Q G ) = (V G − V Tin i ){1 − exp[−(t/τ )β]]} is also plotted with the parameters given in footnote 1. The dispersion parameter β can be obtained by plotting log{− ln[1 − ∆V T D (Q G 0 /Q G )/(V G S − V Tin i )]} as a function of log(t) as shown in the inset. the shallow traps can be excluded. The influence of drain-bias stress on the VT , however, is significant. As shown in Fig. 2(b), the shift of VT is suppressed when the drain bias becomes more negative. All the relationships depicted in Fig. 2(b) follow the power-law dependence with identical slope. According to the BSE model, the slope represents the dispersion parameter β that influences the relaxation and the dispersive transport of disorder system. Identical β value implies that the microscopic processes of the state creation such as the impurity diffusion or the defect creation kinetics should be independent of the drain bias. The influence of drain bias on the carrier concentration is believed, as in a-Si TFTs, to be the dominant reason that causes the shift of threshold voltage to be dependent on VDS . To quantitatively discuss this relationship, for a given VGS , we define the threshold voltage shift ratio (∆VTD /∆VT 0 ) as the ratio between the threshold voltage shift with various VDS stress (∆VTD ) and the threshold voltage shift with zero drainbias stress (∆VT 0 ). Then, we plot ∆VTD /∆VT 0 as a func- [1] H. Klauk, M. Halik, U. Zschieschang, G. Schmid, and W. Radlik, “Highmobility polymer gate dielectric pentacene think film transistors,” J. Appl. Phys, vol. 92, no. 9, pp. 5259–5263, Nov. 2002. [2] H.-W. Zan, K.-H. Yen, P.-K. Liu, K.-H. Ku, C.-H. Chen, and J. Hwang, “Low-voltage organic thin film transistors with hydrophobic aluminum nitride film as gate insulator,” Org. Electron., vol. 8, pp. 450–454, 2007. [3] A. Salleo and R. A. Street, “Light-induced bias stress reversal in polyfluorene thin-film transistors,” J. Appl. Phys., vol. 94, no. 1, pp. 471–479, Jul. 2003. [4] R. A. Street, A. Salleo, and M. L. Chabinyc, “Bipolaron mechanism for bias-stress effects in polymer transistors,” Phys. Rev. B, vol. 68, pp. 085316-1–085316-7, 2003. [5] S. J. Zilker, C. Detcheverry, E. Cantatore, and D. M. de Leeuw, “Bias stress in organic thin-film transistors logic gates,” Appl. Phys. Lett., vol. 79, pp. 1124–1126, 2001. [6] J. E. Northrup and M. L. Chabinyc, “Gap states in organic semiconductors: Hydrogen- and oxygen-induced states in pentacene,” Phys. Rev. B, vol. 68, pp. 041202-1–041202-4, 2003. [7] J. B. Changa and V. Subramanian, “Effect of active layer thickness on bias stress effect in pentacene thin-film transistors,” Appl. Phys. Lett., vol. 88, pp. 233513-1–233513-3, 2006. [8] G. Gu, M. G. Kane, and S.-C. Mau, “Reversible memory effects and acceptor states in pentacene-based organic thin-film transistors,” J. Appl. Phys., vol. 101, no. 1, pp. 014504-1–014504-9, 2007. [9] K. S. Karim, A. Nathan, M. Hack, and W. I. Milne, “Drain-bias dependence of threshold voltage stability of amorphous silicon TFTs,” IEEE Electron Device Lett, vol. 25, no. 4, pp. 188–190, Apr. 2004. 1 The dispersion parameter β can be obtained by plotting log{− ln[1 − ∆V T D (Q G 0 /Q G )/(V G S − V Tin i )]} as a function of log(t) in the inset of Fig. 4. After extracting β = 0.283 and defining the attempt to escape frequency, v = 105 Hz, the effective trapping time τ and the mean activation energy for the defect generation E A can be determined by fitting ∆V T D (Q G 0 /Q G ) with the stretched exponential function. The resulting E A is 0.57 eV and τ is 36127 s at room temperature.