Solid-State Electronics 47 (2003) 1917–1920 www.elsevier.com/locate/sse Device simulations of nanocrystalline silicon thin-film transistors D. Dosev a,* , B. I~ nıguez a, L.F. Marsal a, J. Pallares a, T. Ytterdal b a b Department of Electronics, Electrics and Automatics Engineering, ETSE, Universitat Rovira i Virgili, Av. Pa€ısos Catalans 26, Campus Sescelades, 43007 Tarragona, Spain Department of Physical Electronics, Norwegian University of Science and Technology, Trondheim, N-7491, Norway Received 1 September 2002; received in revised form 1 March 2003; accepted 1 April 2003 Abstract In this paper, we present the results of numerical simulations of inverted-staggered thin-film transistors (TFTs) with nanocrystalline silicon channel, using the semiconductor device simulator ATLAS from Silvaco. We study the influence of the density of the acceptor-like defect states concentration on the transistorsÕ transconductance. Analysis of the free and the trapped carriersÕ concentrations at different gate voltages shows that the value of density of defect states determines the behaviour of nanocrystalline silicon TFTs between amorphous and polycrystalline silicon TFTs. 2003 Elsevier Ltd. All rights reserved. Keywords: TFT; Nanocrystalline silicon; Density of states 1. Introduction Thin-film transistors (TFTs) are utilized as switching elements in large-area electronics. Amorphous and polycrystalline hydrogenated silicon (a-Si:H and polySi:H) are commonly used materials for the fabrication of TFTs. The a-Si:H is easily deposited over large areas at low deposition temperatures (below 450 C) but it suffers degradation under bias stress and under illumination [1]. To avoid this problem, a-Si:H is converted to poly-Si:H using high-temperature thermal annealing [2]. Poly-Si:H is more stable but its fabrication requires expensive substrates due to the high-temperature processes. Newly proposed materials are nanocrystalline and microcrystalline hydrogenated silicon (nc-Si:H and lc-Si:H). A variety of low-temperature techniques have been proposed for their deposition at very low temperatures (below 150 C) [3–5]. TFTs made by nc-Si:H have on/off * Corresponding author. Tel.: +34-977-55-8521; fax: +34977-55-9605. E-mail address: [email protected] (D. Dosev). ratio and field-effect mobility similar to the a-Si:H TFTs. On the other hand, nc-Si:H TFTs do not suffer degradation under bias stress or illumination [4,6–8], similarly to poly-Si:H TFTs. Other significant difference between nc-Si:H TFTs and a-Si:H TFTs have been noted in the shape of the transconductance gm ¼ dIDS =dVGS which tends to constant value at high gate voltage for a-Si:H TFTs but increases in the case of nc-Si:H TFTs [7,9]. In our recent paper, we studied how the experimentally measured characteristics of nc-Si:H TFTs fit to the existing TFT models and we proposed a new DC spice model for nc-Si:H and lc-Si:H TFTs based on some physical assumptions [9]. Our aim in this work is to justify the assumptions used in [9] and to obtain deeper understanding of the physical parameters and processes responsible for the behaviour of nc-Si:H TFTs. We performed twodimensional numerical simulations of nc-Si:H TFTs, using the semiconductor device simulator Silvaco Atlas [10], and compared our numerical simulations with experimental data of inverted-staggered nc-Si:H TFT deposited by hot-wire chemical vapour deposition at 120 C which is described in detail in [3,7]. 0038-1101/$ - see front matter 2003 Elsevier Ltd. All rights reserved. doi:10.1016/S0038-1101(03)00167-9 1918 D. Dosev et al. / Solid-State Electronics 47 (2003) 1917–1920 2. Experiment and simulation In Fig. 1, is shown the experimentally measured gm of a nc-Si:H TFT. After initial increasing for small gate voltages (VGS ¼ 0–5 V), there is a short saturation interval of the gm curve for VGS ¼ 10–17 V, followed by linear increase at higher VGS . For a-Si:H TFTs a saturation of gm is expected as the device enters the linear region. This can be observed simulating the examples of a-Si TFTs proposed in ATLAS. On the other hand, a sharp increase at low gate voltages and a higher saturation value of gm are expected for poly-Si:H TFTs. Our purpose in this work is to find out the physical parameters responsible for the increasing of the transconductance gm at positive gate voltage. In our numerical simulations, we used twodimensional inverted-staggered structure shown in Fig. 2. This structure corresponds to the cross section of the experimentally studied sample [7,11]. The total structure Fig. 1. Experimentally measured transfer characteristic [3,7] and transconductance of nc-Si:H TFT with W =L ¼ 2.5. Drain and Source metal contacts n+ nc-Si:H nc-Si:H Gate metal contact Gate SiO 2 Fig. 2. Structure used in the numerical simulations of nc-Si:H TFT in Atlas. length is 90 lm; the drain and source contacts lengths are 20 lm each, and the distance between them (the channel length) is 50 lm. The gate SiO2 thickness is 200 nm, the thickness of the undoped nc-Si:H layer is 200 nm and the thickness of the n+ doped contact nc-Si:H layer is 50 nm. In ATLAS, the material parameter which defines properties of amorphous or polycrystalline silicon is the density of defect states (DOS) in the silicon material [10]. It is assumed that the total density of states is composed of four bands: Two tail bands (a donor-like valence band and an acceptor-like conduction band) and two deep level bands (one acceptor-like and one donor-like), which are modelled using a Gaussian distribution. For an exponential tail distribution, the DOS is described by its conduction and valence band edge intercept densities (NTA and NTD), and by its characteristic decay energy (WTA and WTD). For Gaussian distributions, the DOS is described by its total density of states (NGA and NGD), its characteristic decay energy (WGA and WGD), and its peak energy/peak distribution (EGA and EGD) [10]. We studied the influence of the DOS parameters on the transconductance, in order to understand the physical processes responsible for the behaviour illustrated in Fig. 1. The acceptor-like states determine the properties of n-channel TFTs. In order to study the influence of the acceptor-like states on gm , we performed various simulations with different values of WTA: 0.017, 0.020, 0.025, 0.030, 0.035, 0.040 and 0.045 eV. Higher value of WTA corresponds to wider acceptor-like exponential tail and defines amorphous silicon properties, while lower value of WTA corresponds to narrow acceptorlike tail and defines polycrystalline silicon properties. For the rest of the material parameters, we used continuous defect-states distribution with default values for amorphous silicon as follows: NTA ¼ 1 · 1021 , NTD ¼ 1 · 1021 , NGA ¼ 1.5 · 1015 , NGD ¼ 1.5 · 1015 cm3 eV1 and WTD ¼ 0.049, WGA ¼ 0.15, WGD ¼ 0.15 eV. In Fig. 3 we show the DOS shape for the different simulations that we performed. We kept the same profile of the donor-like states for all simulations. The higher WTA value, the higher is the simulated density of acceptor-like states. In Fig. 4 is presented the simulated transconductance at different values of WTA. Lower transconductance corresponds to higher values of WTA. For WTA ¼ 0.040 and 0.045 eV the transconductance has shape typical a-Si:H TFT, without significant increasing at high gate voltages. For WTA ¼ 0.035, gm begins to increase linearly at VGS ¼ 22–25 V. When WTA ¼ 0.030, the simulated transconductance shows a short saturation interval between 8 and 15 V, then increases at higher VGS . This shape is very similar to the experimentally measured transconductance. For values of WTA higher than 0.030 eV, the saturation of gm at low D. Dosev et al. / Solid-State Electronics 47 (2003) 1917–1920 Fig. 3. Numerically simulated density of states, using different WTA values. Fig. 4. Numerically simulated transconductance, using different WTA values. VGS becomes shorter and disappears completely for WTA ¼ 0.017 eV. At the same time the final saturation of gm occurs at higher values and begins at lower VGS . The simulated transconductance shape for WTA ¼ 0.017 eV is typical for poly-Si TFTs. These results are in agreement with the theory of the a-Si based TFTs. Acceptor-like states with lower density are easily filled by electrons when positive gate voltage is applied. This leads to higher drain current and transconductance at low gate voltages. Materials with higher density of acceptor-like states require higher gate voltage in order the acceptor states to be filled. Therefore, higher gate voltage is needed in order to produce higher drain current and transconductance. We conclude that in nc-Si:H the density of acceptor-like states is higher than in poly-Si:H and at the same time is lower than in a-Si:H. According to Shur [12], the ratio between trapped and free carriers in the channel determines the working regime of the a-Si:H TFT. In a-Si:H TFTs the acceptorlike states are supposed to be filled at gate voltages be- 1919 Fig. 5. Numerically extracted carriers concentrations vs. gate voltage. tween 50 and 100 V. For lower VGS , free carrierÕs concentration is always lower than the trapped carrierÕs concentration [12]. As a consequence the acceptor-like states are never completely filled at conventionally used VGS values (0–40 V). On the contrary, for poly-Si there is much lower defects concentration and the acceptor-like states are filled by electrons at much lower VGS . We performed a detailed study of the trapped and the free induced carriers for WTA ¼ 0.030 at each gate bias point. In Fig. 5 with closed circles is presented the concentration of the trapped electrons (ntrapped ) and with open circles is presented the concentration of the free electrons (nfree ). For VGS below 10 V, ntrapped is much higher than nfree . At gate voltage above 30 V, the induced electrons fill almost all the traps and ntrapped is almost independent by VGS . On the other hand, increasing of VGS induces more electrons and nfree exceeds ntrapped . In these conditions the device behaves as poly-Si TFT and the transconductance achieves values typical for poly-Si TFTs (Fig. 4). In Fig. 5, at gate voltages between 10 and 30 V change in the dominant concentration occurs from ntrapped nfree to ntrapped < nfree and the transconductance increases from values typical for a-SI TFTs to values typical for poly-Si TFTs. Due to lower density of states in nc-Si:H we observe this effect at much lower VGS than is expected for a-Si:H [10]. Improved stability of the nc-Si:H TFTs compared to a-Si:H TFTs could be also attributed to the lower DOS. On the other hand the density of states in nc-Si:H is higher than in poly-Si. That is why nc-Si:H TFTs exhibit many of the properties between a-Si:H and polySi:H TFTs. 3. Conclusions Numerical simulations show that the acceptor-like defect states in nanocrystalline are filled at much lower 1920 D. Dosev et al. / Solid-State Electronics 47 (2003) 1917–1920 gate voltages than in amorphous TFTs having similar threshold voltages. The transconductance of nanocrystalline TFTs has a shape typical for amorphous TFTs before the acceptor-like states are filled. When electrons fill the acceptor-like states, the transconductance of nanocrystalline TFTs becomes typical for poly-silicon TFTs. The reason for this behaviour is the density of acceptor-like states, which situates the nanocrystalline TFTs properties between the amorphous and the polycrystalline transistors. Acknowledgements This work was supported by the CICYT of the Spanish Government under programme TIC99-0842C03. D. Dosev would like to acknowledge the financial support from the Departament d’Universitats, Recerca i Societat de la Informacio de la Generalitat de Catalunya, Spain. The authors would like to thank R. Alcubilla and J. Puigdollers from Universitat Politecnica de Catalunya, J. Andreu and D. 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