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J. Semicond. > 2014, Volume 35 > Issue 10 > 104004

SEMICONDUCTOR DEVICES

ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors

Zhefeng Li and Xianye Luo

+ Author Affiliations

 Corresponding author: Li Zhefeng, Email:zhefeng@cqu.edu.cn

DOI: 10.1088/1674-4926/35/10/104004

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Abstract: This study explores a strategy of using the phosphonic acid derivative (11-((12-(anthracen-2-yl)dodecyl)oxy)-11-oxoundecyl) phosphonic acid (ADO-phosphonic acid) as self-assembled monolayers (SAMs) on a Si/SiO2 surface to induce the crystallization of rubrene in vacuum deposited thin film transistors, which showed a field-effect mobility as high as 0.18 cm2/(V·s). It is found that ADO-phosphonic acid SAMs play a unique role in modulating the morphology of rubrene to form a crystalline film in the thin-film transistors.

Key words: thin film transistorsself-assembled monolayerphosphonic acid derivative

The field of organic thin film transistors (OTFTs) has been vastly developed in the past two decades due to its promise for low cost solution based processing for various electronic applications, mechanical flexibility, versatility of chemical design and synthesis, and ease of processing[1-4]. OTFTs offer great potential for applications in chemical and biological sensing for environmental monitoring, and industry manufacturing. A key challenge for realizing practical applications lies in developing gate dielectrics with low leakage current, low interface trap density, high breakdown strength, and high capacitance for low-voltage OTFTs[5]. Typically, low-voltage devices are achieved through increasing the capacitance density of the gate dielectric (Ci) by either decreasing the thickness (d) or increasing the dielectric constant (k) (Ci = ε0k/d). Common dielectric materials for low-voltage devices include ultra thin polymer films[6], polyelectrolytes[7], inorganic oxides[8], and hybrid organic/inorganic dielectrics[9, 10]. Therefore, control over the interface between the organic semiconductor and inorganic electrode/dielectric is essential. Molecular self-assembled monolayers (SAMs) have been proven to be excellent candidates for gate dielectrics in low-voltage OTFTs[11].

In order to design electronic devices with good electrical properties, SAMs fabricated on Si/SiO2 gate dielectrics were introduced in the process of making devices. SAMs provide a converient, flexible, and simple system with which to tailor the interfacial properties of the dielectric layer and semiconductor layers. SAMs are ordered molecular assemblies formed by the adsorption of active surfactants on a solid surface[12]. The order in these two-dimensional systems is produced by a spontaneous chemical reaction at the interface. This simple fabrication process makes SAMs easy to manufacture and thus technologically attractive for surface and interface engineering[13]. Generally, by tuning the surface terminal group of the SAM, such as inducing the group of electron donator or electron accepter, it is possible to modify the interface between the organic semiconductor and dielectric by exploiting compatible organic/organic interactions resulting in improved device performances[14, 15]. Phosphonic acids (PA) as the SAM material are more desirable for self-assembly on metal oxides and the silicon dioxide surface. Also, the phosphonic acid monolayer shows greater hydrolytic stability than siloxane monolayers[16]. Liakos et al. compared phosphonic acid monolayers to a variety of binding chemistries and found that phosphonic acid readily formed well-packed monolayers compared to the amine, trimethoxysilane, trichlorosilane, and epoxy-binding groups. They also noted an inability to form trichlorosilane monolayers due to self-polymerization[17, 18]. PA-based SAMs were chosen taking into consideration several distinct advantages over their silane-based counterparts including (1) better stability to moisture, (2) less tendency for homo-condensation between PAs, and (3) the reaction between PA and the silicon oxide substrate is not limited by the content of surface hydroxyl groups[19, 20]. PA head-groups form dense and robust SAMs suitable as resists for selective chemical etching and patterning, and functional materials for organic electronics[21].

In this work, we mainly use a phosphonic acid derivative (ADO-phosphonic acid) as the self-assembled monolayers (SAMs) on the Si/SiO2 surface to induce the crystallization of rubrene in vacuum deposited thin film transistors, which showed a better field-effect mobility than rubrene on a bare SiO2 wafer. It is found that ADO-phosphonic acid SAMs play a unique role in modulating the morphology of rubrene to form a crystalline film in the thin-film transistors.

ADO-phosphonic acid was obtained from PCI synthesis.

An oxidized silicon wafer (Si is highly n-doped with a resistivity smaller than 0.005 Gcm and the thermally grown SiO2 is 300 nm thick) was used as the substrate for organic thin film transistors. The following surface treatments of the SiO2 were performed on the dielectric surface before vacuum sublimation of the semiconductor film, a 10 min sonication in acetone, followed by a 70 : 30 H2SO4/H2O2 (piranha) etch for 1 h at 100 ℃, then a 1 : 1 : 5 NH3H2O/H2O2/deionized H2O wash for 20 min at 70 oC, and the silicon wafer was held vertically using a small clamp in a solution of ADO-PA (1 mM in THF) in a 50 mL beaker. The solvent was allowed to evaporate slowly over 3 h, until the level of the solution fell below the silicon wafer. Under these conditions, the concentration of the ADO-PA in the remaining solution increased by about 30%. The treated Si sample was then removed from its holder and was heated at 140 ℃ in a simple glass tube for two days to bond the SAMs to the SiO2/Si as octadecylphosphonate. ADO-PA /SiO2/Si substrate was sonicated in THF for 10 min. The dielectric surface was characterized using contact angle measurements, which were <5 after cleaning and 85-90 after ADO-PA layer formation.

he thin films composed of rubrene were vacuum-deposited by a TECHNOL ZHD-300 high vacuum evaporation machine through a shadow mask from a resistively heated Mo boat with the turbo-molecular pump at a pressure of 1.0 × 106 Torr or lower, with a deposition rate of ca. 0.2 Å/s to the desired thickness. The temperature of the substrate was 90 ℃ for rubrene. During vacuum deposition, the distance between the source and the substrate was 15 cm. Different substrate temperatures for deposition were achieved using a radiant heater and measured with a thermocouple. Top-contact drain and source gold electrodes (50 nm) were vacuum-deposited through a shadow mask onto the films of rubrene in the same vacuum chamber, and the resulting semiconducting channels were 150 μm (L) × 2 mm (W), 100 μm (L) × 2 mm (W). In these transistors, highly n-doped silicon functioned as the gate electrode and 300 nm thick SiO2 (untreated or treated with ADO-PA) functioned as the dielectrics.

The current-voltage measurement for thin-film transistors was carried out on a probe station using a Keithley 4200-SCS semiconductor parameter analyzer. During the measurement, the samples were kept at room temperature in the ambient atmosphere. The topographic images were obtained using a Nanoscope IIIa Multimode Microscope from digital instruments. AFM images were collected using the tapping mode in air under ambient conditions. The topographic images were collected from multiple samples, and for each sample, different regions were scanned to ensure the reproducibility. Polarized optical images of the devices were obtained from a Nikon 50IPOL microscope.

Thin film transistors of rubrene on SiO2 with the ADO-PA as SAMs were fabricated by thermal evaporation under a vacuum. With the formation of the ADO-PA SAM on SiO2, the capacitance decreases due to a larger total dielectric thickness. However, even though ADO-PA possess chains longer than n-Octadecylphosphonic acid (ODPA) by 6-atom units, its p-conjugated anthryl surface groups are more polarizable than the methyl-terminated ODPA, likely leading to the higher capacitive coupling of the corresponding SAMs. Figure 1(a) shows the chemical structures of the rubrene and ADO-PA SAMs used in this work, and Figure 1(b) shows the device structure of the thin-film transistors.

Figure  1.  (a) Chemical structure of the rubrene and ADO-PA SAMs. (b) Device structure of the thin-film transistors

As displayed in Fig. 2, the X-ray diffraction patterns from the rubrene film deposited on ADO-PA-treated SiO2 show a lone diffraction peak at 2θ = 6.55 (d spacing of 13.50 Å). This peak agrees with the (2, 0, 0) diffraction derived from the single crystal structure of rubrene[22]. Shown in Fig. 3(a) are the typical I-V curves for such devices, from which field-effect mobilities of 0.07 to 0.18 cm2/(Vs) are measured in the saturation regime using the equation: IDS = (μWCi/2L)(VG-VT)2 and Ci = 11 nF/cm2 for 300 nm SiO2. The on/off ratio of the drain current obtained between 0 and -50 V gate bias from the transfer I-V curves (shown in Fig. 3(a)) is greater than 2.0 × 104 (Max 2.2 × 105).

Figure  2.  XRD pattern of rubrene thin film on an ADO-PA modified SiO2 surface.
Figure  3.  (a) Drain current (IDS)versus gate voltage (VGS) at VDS D 50 V with channel dimensions of W = 2 mm and L D 150 um. (b) Drain current (IDS) versus drain–source voltage (VDS) with VGS from -10 to -50 V in -10 V steps.

The systematic improvements in the device characteristics include on-off current ratio (Ion/Ioff), and field-effect mobilities (μ) using the ADO-PA SAM compared to bare SiO2, OTS and ODPA modified SiO2 are evident (Table 1). It is notable that the improvement of the Ion/Ioff using ADO-PA SAM compared to bare SiO2 or OTS correlates to the observed decreased leakage current density using the anthryl-terminated SAMs. The improvement in the charge carrier mobility using the SAMs compared to the bare SiO2 can be explained in part from a combination of the surface energy and chemical functionality at the rubrene/dielectric interface[23].

Table  1.  Device characteristics of rubrene on different dielectric surfaces.
DownLoad: CSV  | Show Table

To understand the unique role of ADO-PA in the induced crystallization of rubrene, the ADO-PA -treated SiO2 with rubrene film (80 nm) was investigated using AFM. Shown in Fig. 4(a) is the AFM amplitude image of rubrene film (80 nm) on a SiO2/ADO-PA surface. Rubrene forms flat crystals as long as 10 μm in the film deposited on the ADO-PA-modified SiO2. The height image (Fig. 4(b)) shows that the average thickness of rubrene film is about 40-80 nm by thermal evaporation under a vacuum.

Figure  4.  (a)AFM amplitude and(b) height images of rubrene thin film on ADO-PA modified SiO2 surface. The thickness of rubrene films is 80 nm. The substrate temperature was kept at 90 ℃ during the deposition of rubrene.

Figure 5 shows that the smoothness and uniformity of the dielectric surface does not significantly change after SAM preparation. After deposition of 80 nm rubrene on this SAM surface, we studied the reflection polarized light micrograph of the rubrene surface. In most polarization pictures (Fig. 6), rubrene is displayed as crystal film. The interlayer molecular is packing orderly, in which regions, the corresponding channels show a higher hole mobility. However, the black area is the disorderly rubrene film, the corresponding field-effect mobilities are relatively low, so the coming work will focus on optimizing the SAMs, making rubrene film crystallization and achieve stable devices properties.

Figure  5.  AFM height image of ADO-PA modified SiO2 surface.
Figure  6.  Reflection polarized light micrograph of 80 nm rubrene on ADO-PA modified SiO2 substrate.

In conclusion, we have unequivocally demonstrated a new strategy of using ADO-PA as the SAMs to induce the crystallization of rubrene in vacuum deposited thin film transistors. When the ADO-PA is replaced by a self-assembled monolayer of OTS or ODPA, rubrene films have much poorer crystallinity. As noted above, interface engineering, such as SAMs, is a great strategy to achieve a highly efficient semiconductor device. The molecular structure and morphology of the organic semiconductor at the interface are crucial to the organic thin film transistor performance. So the coming work will focus on finding some new SAMs, and new semiconductor materials to achieve better device performance.

Acknowledgment: We thank the Chongqing Key Laboratory of Chemical Process for Clean Energy and Resource Utilization for their testing apparatus.


[1]
Tang M L, Reichardt A D, Wei P, et al. Correlating carrier type with frontier molecular orbital energy levels in organic thin film transistors of functionalized acene derivatives. J Am Chem Soc, 2009, 131:5264 doi: 10.1021/ja809659b
[2]
Dodabalapur A. Semiconductor technology-negatively successful. Nature, 2005, 434:151 http://adsabs.harvard.edu/abs/2005Natur.434..151D
[3]
Sirringhaus H. Device physics of Solution-processed organic field-effect transistors. Adv Mater, 2005, 17:2411 doi: 10.1002/(ISSN)1521-4095
[4]
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[5]
Li Z F, Du J, Tang Q, et al. Induced crystallization of rubrene in thin-film transistors. Adv Mater, 2010, 22:3242 doi: 10.1002/adma.201000786
[6]
Hwang S K, Bae I, Cho S M, et al. High performance multi-level non-volatile polymer memory with solution-blended ferroelectric polymer/high-k insulators for low voltage operation. Adv Funct Mater, 2013, 23:5484 doi: 10.1002/adfm.v23.44
[7]
Tsai T D, Chang J W, Wen T C, et al. Manipulating the hysteresis in poly(vinyl alcohol)-dielectric organic field-effect transistors toward memory elements. Adv Funct Mater, 2013, 23:4206 doi: 10.1002/adfm.v23.34
[8]
Majewski L A, Schroeder R, Grell M. One volt organic transistor. Adv Mater, 2005, 17:192 doi: 10.1002/(ISSN)1521-4095
[9]
Zirkl M, Haase A, Fian A, et al. Low-voltage organic thin-film transistors with high-k nanocomposite gate dielectrics for flexible electronics and optothermal sensors. Adv Mater, 2007, 19:2241 doi: 10.1002/(ISSN)1521-4095
[10]
Lee B H, Ryu M K, Choi S Y, et al. Rapid vapor-phase fabrication of organic-inorganic hybrid superlattices with monolayer precision. J Am Chem Soc, 2007, 129:16034 doi: 10.1021/ja075664o
[11]
Park B, Cho S E, Kim Y, et al. Simultaneous study of exciton diffusion/dissociation and charge transport in a donor-acceptor bilayer:pentacene on a C60-terminated self-assembled monolayer. Adv Mater, 2013, 25:6453 doi: 10.1002/adma.v25.44
[12]
Ulman A. Formation and structure of self-assembled monolayers. Chem Rev, 1996, 96:1533 doi: 10.1021/cr9502357
[13]
Onclin S, Ravoo B J, Reinhoudt D N. Engineering silicon oxide surfaces using self-assembled monolayers. Angew Chem Int. Ed, 2005, 44:6282 doi: 10.1002/(ISSN)1521-3773
[14]
Walter S R, Youn J, Emery J D, et al. In-situ probe of gate dielectric-semiconductor interfacial order in organic transistors:origin and control of large performance sensitivities. J Am Chem Soc, 2012, 134(28):11726 doi: 10.1021/ja3036493
[15]
Halik M, Hirsch A. The potential of molecular self-assembled monolayers in organic electronic devices. Adv Mater, 2011, 23:2689 doi: 10.1002/adma.v23.22/23
[16]
Silverman B M, Wieghaus K A, Schwartz J. Comparative properties of siloxane vs phosphonate monolayers on a key titanium alloy. Langmuir, 2005, 21:225 doi: 10.1021/la048227l
[17]
Liakos I L, McAlpine E, Chen X Y, et al. Assembly of octadecyl phosphonic acid on the α-Al2O3 (0001) surface of air annealed alumina:evidence for termination dependent adsorption. Appl Surf Sci, 2008, 255(5):3276 doi: 10.1016/j.apsusc.2008.09.037
[18]
Hanson E L, Schwartz J, Nickel B, et al. Bonding self-assembled, compact organophosphonate monolayers to the native oxide surface of silicon. J Am Chem Soc, 2003, 125(51):16074 doi: 10.1021/ja035956z
[19]
Guo X, Qin C J, Cheng Y X, et al. White electroluminescence from a phosphonate-functionalized single-polymer system with electron-trapping effect. Adv Mater, 2009, 21:3682 doi: 10.1002/adma.v21:36
[20]
Kang M S, Ma H, Yip H L, et al. Direct surface functionalization of indium tin oxide via electrochemically induced assembly. J Mater Chem, 2007, 17:3489 doi: 10.1039/b705559e
[21]
Klauk H, Zschieschang U, Pflaum J, et al. Ultralow-power organic complementary circuits. Nature, 2007, 445:745 doi: 10.1038/nature05533
[22]
Jurchescu O D, Meetsma A, Palstra T T M. Low-temperature structure of rubrene single crystals grown by vapor transport. Acta Crystallographica Section B:Structural Science, 2006, 62:330 doi: 10.1107/S0108768106003053
[23]
Yang S Y, Shin K, Park C E. The effect of gate-dielectric surface energy on pentacene morphology and organic field-effect transistor characteristics. Adv Funct Mater, 2005, 15:1806 doi: 10.1002/(ISSN)1616-3028
Fig. 1.  (a) Chemical structure of the rubrene and ADO-PA SAMs. (b) Device structure of the thin-film transistors

Fig. 2.  XRD pattern of rubrene thin film on an ADO-PA modified SiO2 surface.

Fig. 3.  (a) Drain current (IDS)versus gate voltage (VGS) at VDS D 50 V with channel dimensions of W = 2 mm and L D 150 um. (b) Drain current (IDS) versus drain–source voltage (VDS) with VGS from -10 to -50 V in -10 V steps.

Fig. 4.  (a)AFM amplitude and(b) height images of rubrene thin film on ADO-PA modified SiO2 surface. The thickness of rubrene films is 80 nm. The substrate temperature was kept at 90 ℃ during the deposition of rubrene.

Fig. 5.  AFM height image of ADO-PA modified SiO2 surface.

Fig. 6.  Reflection polarized light micrograph of 80 nm rubrene on ADO-PA modified SiO2 substrate.

Table 1.   Device characteristics of rubrene on different dielectric surfaces.

[1]
Tang M L, Reichardt A D, Wei P, et al. Correlating carrier type with frontier molecular orbital energy levels in organic thin film transistors of functionalized acene derivatives. J Am Chem Soc, 2009, 131:5264 doi: 10.1021/ja809659b
[2]
Dodabalapur A. Semiconductor technology-negatively successful. Nature, 2005, 434:151 http://adsabs.harvard.edu/abs/2005Natur.434..151D
[3]
Sirringhaus H. Device physics of Solution-processed organic field-effect transistors. Adv Mater, 2005, 17:2411 doi: 10.1002/(ISSN)1521-4095
[4]
Roberts M E, LeMieux M C, Bao Z N. Sorted and aligned single-walled carbon nanotube networks for transistor-based aqueous chemical sensors. ACS Nano, 2009, 10:3287 doi: 10.1021/nn900808b?src=recsys&journalCode=ancac3
[5]
Li Z F, Du J, Tang Q, et al. Induced crystallization of rubrene in thin-film transistors. Adv Mater, 2010, 22:3242 doi: 10.1002/adma.201000786
[6]
Hwang S K, Bae I, Cho S M, et al. High performance multi-level non-volatile polymer memory with solution-blended ferroelectric polymer/high-k insulators for low voltage operation. Adv Funct Mater, 2013, 23:5484 doi: 10.1002/adfm.v23.44
[7]
Tsai T D, Chang J W, Wen T C, et al. Manipulating the hysteresis in poly(vinyl alcohol)-dielectric organic field-effect transistors toward memory elements. Adv Funct Mater, 2013, 23:4206 doi: 10.1002/adfm.v23.34
[8]
Majewski L A, Schroeder R, Grell M. One volt organic transistor. Adv Mater, 2005, 17:192 doi: 10.1002/(ISSN)1521-4095
[9]
Zirkl M, Haase A, Fian A, et al. Low-voltage organic thin-film transistors with high-k nanocomposite gate dielectrics for flexible electronics and optothermal sensors. Adv Mater, 2007, 19:2241 doi: 10.1002/(ISSN)1521-4095
[10]
Lee B H, Ryu M K, Choi S Y, et al. Rapid vapor-phase fabrication of organic-inorganic hybrid superlattices with monolayer precision. J Am Chem Soc, 2007, 129:16034 doi: 10.1021/ja075664o
[11]
Park B, Cho S E, Kim Y, et al. Simultaneous study of exciton diffusion/dissociation and charge transport in a donor-acceptor bilayer:pentacene on a C60-terminated self-assembled monolayer. Adv Mater, 2013, 25:6453 doi: 10.1002/adma.v25.44
[12]
Ulman A. Formation and structure of self-assembled monolayers. Chem Rev, 1996, 96:1533 doi: 10.1021/cr9502357
[13]
Onclin S, Ravoo B J, Reinhoudt D N. Engineering silicon oxide surfaces using self-assembled monolayers. Angew Chem Int. Ed, 2005, 44:6282 doi: 10.1002/(ISSN)1521-3773
[14]
Walter S R, Youn J, Emery J D, et al. In-situ probe of gate dielectric-semiconductor interfacial order in organic transistors:origin and control of large performance sensitivities. J Am Chem Soc, 2012, 134(28):11726 doi: 10.1021/ja3036493
[15]
Halik M, Hirsch A. The potential of molecular self-assembled monolayers in organic electronic devices. Adv Mater, 2011, 23:2689 doi: 10.1002/adma.v23.22/23
[16]
Silverman B M, Wieghaus K A, Schwartz J. Comparative properties of siloxane vs phosphonate monolayers on a key titanium alloy. Langmuir, 2005, 21:225 doi: 10.1021/la048227l
[17]
Liakos I L, McAlpine E, Chen X Y, et al. Assembly of octadecyl phosphonic acid on the α-Al2O3 (0001) surface of air annealed alumina:evidence for termination dependent adsorption. Appl Surf Sci, 2008, 255(5):3276 doi: 10.1016/j.apsusc.2008.09.037
[18]
Hanson E L, Schwartz J, Nickel B, et al. Bonding self-assembled, compact organophosphonate monolayers to the native oxide surface of silicon. J Am Chem Soc, 2003, 125(51):16074 doi: 10.1021/ja035956z
[19]
Guo X, Qin C J, Cheng Y X, et al. White electroluminescence from a phosphonate-functionalized single-polymer system with electron-trapping effect. Adv Mater, 2009, 21:3682 doi: 10.1002/adma.v21:36
[20]
Kang M S, Ma H, Yip H L, et al. Direct surface functionalization of indium tin oxide via electrochemically induced assembly. J Mater Chem, 2007, 17:3489 doi: 10.1039/b705559e
[21]
Klauk H, Zschieschang U, Pflaum J, et al. Ultralow-power organic complementary circuits. Nature, 2007, 445:745 doi: 10.1038/nature05533
[22]
Jurchescu O D, Meetsma A, Palstra T T M. Low-temperature structure of rubrene single crystals grown by vapor transport. Acta Crystallographica Section B:Structural Science, 2006, 62:330 doi: 10.1107/S0108768106003053
[23]
Yang S Y, Shin K, Park C E. The effect of gate-dielectric surface energy on pentacene morphology and organic field-effect transistor characteristics. Adv Funct Mater, 2005, 15:1806 doi: 10.1002/(ISSN)1616-3028
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    Zhefeng Li, Xianye Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. Journal of Semiconductors, 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004
    Z F Li, X Y Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. J. Semicond., 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004.
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      Zhefeng Li, Xianye Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. Journal of Semiconductors, 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004 ****Z F Li, X Y Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. J. Semicond., 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004.
      Citation:
      Zhefeng Li, Xianye Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. Journal of Semiconductors, 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004 ****
      Z F Li, X Y Luo. ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors[J]. J. Semicond., 2014, 35(10): 104004. doi: 10.1088/1674-4926/35/10/104004.

      ADO-phosphonic acid self-assembled monolayer modified dielectrics for organic thin film transistors

      DOI: 10.1088/1674-4926/35/10/104004
      Funds:

      the Fundamental Research Funds for the Central Universities CQDXWL-2012-030

      Project supported by the National Natural Science Foundation of China (No. 61106002), the Natural Science Foundation Project of CQ CSTC (No. 2011BB4083), and the Fundamental Research Funds for the Central Universities (Nos. CDJZR13225502, CQDXWL-2012-030, CDJRC10220007)

      the Fundamental Research Funds for the Central Universities CDJZR13225502

      the National Natural Science Foundation of China 61106002

      the Natural Science Foundation Project of CQ CSTC 2011BB4083

      the Fundamental Research Funds for the Central Universities CDJRC10220007

      More Information
      • Corresponding author: Li Zhefeng, Email:zhefeng@cqu.edu.cn
      • Received Date: 2014-03-26
      • Revised Date: 2014-05-14
      • Published Date: 2014-10-01

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