1. Introduction
These days, semiconductor devices based on a silicon substrate are being developed for better electrical characteristics and cost-efficiency. However, conventional silicon-based metal-oxide-semiconductor field-effect transistor (MOSFET) technologies are faced with their scaling limit as transistor size continues to decrease [1-4]. Thus, instead of traditional n/p/n or p/n/p MOSFET, many studies for the junctionless (JL) MOSFET have been reported. The JL MOSFET was originally proposed and demonstrated by Colinge et al [5-6]. This transistor, which has no pn junctions, operates in accumulation mode (AM) and a degenerate p-type polysilicon gate is used for adjusting threshold voltage to be positive so that its operations are same as the conventional n-type MOSFET. But unlike the conventional short-channel MOSFET need to make highly precise junctions, the JL MOSFETs do not need to form junctions. Thus, the JL MOSFET can overcome many fabrication issues in view of doping techniques and thermal budget without short-channel effects (SCEs) [7-11].
In this paper, design optimization of the JL MOSFET which have a fin-type structure (JL FinFET) is performed in view of threshold voltage (Vth), higher gate controllability, enhanced current drivability, and better subthreshold swing (SS). The device was designed with a Silvaco three-dimensional (3D) technology computer-aided design (TCAD) simulation program [12] and the optimization reference of this work is the low standby power technology (LSPT) performances of international technology roadmap for semiconductors (ITRS) roadmap [13]. Also, to obtain accurate results for simulations, electron concentration model, electron-field model, gate current assignment model, and 3D-structure mobility model is considered [12]. Finally, the important parameters such as transconductance (gm), cut-off frequency (fT), and maximum oscillation frequency (fmax) are extracted after an optimization process for DC performances.
2. Simulation Results
Fig. 1 shows the structure of JL FinFET with 20 nm channel length (Lch) simulated by the 3D TCAD program. To avoid polysilicon gate depletion, a degenerately doped polysilicon gate was adopted. The gate dielectric material is hafnium oxide (HfO2) with 2 nm thickness (tox).
Fig. 1.The structure of JL FinFET with 20 nm channel length (Lch) simulated by the 3D TCAD program.
The on-state current (Ion) was defined as a drain current (IDS) at VGS = VDS = 1 V and the off-state current (Ioff) was defined as an point of VGS where IDS begins to burst. The Vth was defined as VGS at IDS = 10-7 A/μm.
The current of JL MOSFET is dominated by body current instead of surface current between gate oxide and inversion channel layer. Therefore, the channel doping concentration (Dch), fin height (Hfin), and fin width (Wfin) which are important variables for device optimization process are designated as the simulation variables. Fig. 2 shows the IDS-VGS transfer curves for JL FinFET with various channel doping concentration. Dch was changed ntype 1×1018 cm−3 to 4×1019 cm−3. Both Hfin and Wfin are fixed at 10 nm. When the Dch increases, Vth goes decrease and Ion as well as Ioff is increases. The Vth is changed by depletion layer of channel region. The relationship between Dch and depletion layer for MOS structure is presented by (1) [14].
Fig. 2.IDS-VGS transfer curves for JL FinFET with various channel doping concentration.
where εs is the semiconductor permittivity, Фbi is the built in potential and q is the electric potential.
The width of depletion region (Wd) is reduced by increase of Dch. JL devices are dominated not by surface current but by body current. Therefore, the high Nch makes it difficult to fully deplete under the gate and Vth is decreased. The characteristics of Vth according to Dch are summarized in Fig. 3.
Fig. 3 shows Vth as a function of Dch. It is confirmed that Vth appears to be a negative linear function of Dch. The horizontal slashed area is the section of Vth due to the LSPT operation reference suggested by the ITRS Roadmap, and its vicinity with ±0.1 V. The vertical slashed area represents the range of Dch satisfying Vth reference range. The corresponding Dch range to the Vth is 2.3×1019 cm−3 to 3×1019 cm−3.
Fig. 3.Vth curves as a function of Dch.
Fig. 4 demonstrates the detailed graph for on- and offstate current for the range of the optimized Dch range of Fig. 3. The current level of JL FinFET has lower limit of Ion (500 μA/μm) and upper limit of Ioff (10 pA/μm) for dependable LSPT operations. The Ion and Ioff increased by changes of bulk driving current and leakage current that was caused by decrease of Wd, respectively. It turns out that the permissible Dch satisfied with Vth, Ion, and Ioff level is vicinity of 2.7×1019 cm−3.
Fig. 4.On-state current and off-state current at the optimized Dch range.
Fig. 5 depicts the subthreshold swing (SS) as a function Dch. 69 mV/dec to 71 mV/dec SS characteristics are observed over Dch region and the vicinity of 2.7×1019 cm−3 where the point of SS reflection should be desirable at channel doping concentration. The values of SS has the minimum variation near Dch = 2.7×1019 cm-3. Fig. 6 demonstrates the IDS-VGS transfer curves for JL FinFET according to various Wfin. As Wfin increases, the channel region where electrons flow is distends and Ion increases. However, the large Wfin makes hard to fully deplete channel region at an off-state. Accordingly, the Ioff increases dramatically. The difference of electron concentration under the off-state with Wfin of 5 nm and Wfin of 20 nm is depicts at Fig. 7. The maximum electron concentration of channel region was obtained 1.61 cm−3 and 12.9 cm−3, respectively, at Wfin of 5 nm and Wfin of 20 nm. It indicates that the increase of Wfin makes difficult to control the Ioff.
Fig. 5.Subthreshold swing (SS) as a function of Dch.
Fig. 6.IDS-VGS transfer curves for JL FinFET according to various Wfin.
Fig. 7.Electron concentration under the off-state for JL FinFETs with (a) Wfin of 5 nm and (b) Wfin of 20 nm. (Dch = 2.7×1019 cm−3, VDS = −1 V)
Fig. 8 shows the changes of SS and Vth with different Wfin. When Wfin increases, transistor needs less gate voltages to achieve turn-on condition and consequentially, Vth decreases. On the other hand, SS shows increasing results because a variation of Ioff is much higher than variation of Ion. By the LSPT operation range of Vth, the Wfin of 6 nm to 10 nm is suggested as an optimized parameter.
Fig. 8.SS and Vth curves with different Wfin.
Fig. 9 is the IDS-VGS transfer curves for JL FinFet according to various Hfin. The increase of Hfin also increases the channel region that current flows. However, the changes of Hfin are less vulnerable to Ioff than that of Wfin. Although the increase of Hfin increases Ioff, the Finside depletion area is fastened by fixed Wfin. It can be observed at Fig. 10 which shows electron concentration of high Wfin and high Hfin under the off-state. In this figure, it is confirmed that low Hfin of JL FinFET is easier to deplete all channel area and Ioff should be much lower. Fig. 11 depicts the changes of SS and Vth with different Hfin. The Vth and SS are in inverse proportion to the Hfin. And by the LSPT operation range of Vth, the Hfin of under 10 nm are an optimized regions. In this region, the Hfin of 10 nm where has an minimum value of SS is the optimized result of Hfin.
Fig. 9.IDS-VGS transfer curves for JL FinFET according to various Hfin.
Fig. 10.Electron concentration at (a) high Wfin=20 nm and (b) high Hfin=20 nm under the off-state. (Dch = 2.7×1019 cm-3,VDS = -1 V)
Fig. 11.SS and Vth curves with different Hfin.
Fig. 12 show the main conductance characteristics of optimized JL FinFET with Dch of 2.7×1019 cm−3, Wfin of 10 nm, and Hfin of 10 nm. The transconductance (gm) and source-drain conductance (gds) determine the cut-off frequency (fT) and maximum oscillation frequency (fmax) by following equations (2) and (3) [15].
Fig. 12.The transconductance (gm) and source-drain conductance (gds) characteristics of an optimized JL FinFET with Dch of 2.7×1019 cm−3, Wfin of 10 nm, and Hfin of 10 nm.
where gm is the transconductance, Cgg is the gate input capacitance, Rg,eff is the effective gate resistance comprising gate electrode resistance and distributed channel resistance, and Cgd is the gate-to-drain capacitance. quation 2, it is known that to achieve high fT, the large value of gm should be needed. In Fig. 12, both gm and gds increases and saturations near VGS = 0.5 V. Thus, a desirable operation conditions to guarantee high fT should be VGS > 0.5 V.
Figs. 13 (a) and (b) shows the capacitance and resistance of optimized JL FinFET. These characteristics are related with fT and fmax which expressed by equations (2) and (b). Fig. 13 (c) depicts the fT and fmax as a function of VGS. In both fT and fmax are monotonically increases with voltages. The fT and fmax was obtained 213.3 GHz and 366.6 GHz respectively at VGS = VDS = 1 V where an operation point.
Fig. 13.(a) Capacitance and (b) resistance of optimized JL FinFET. (c) fT and fmax as a function of VGS. In both fT and fmax are monotonically increases with voltages.
Fig. 14 demonstrates the drain-induced barrier lowering (DIBL) characteristics of optimized JL FinFET. In terms of suppress SCEs (SS ≤ 100 mV/dec, DIBL ≤ 100 mV/V) [16], the optimized JL FinFET is efficiently satisfying these conditions.
Fig. 14.IDS-VGS transfer curves for optimized JL FinFET and characteristics of DIBL.
Table 1.Optimized device performances and conditions summary
5. Conclusion
this paper, we have been performed 3D TCAD simulation of JL FinFET and confirmed the device performances. The JL FinFET is suitable semiconductor devices with LSPT applications and the optimum design of transistor was satisfying the requirement of ITRS roadmap. To optimize the JL FinFET, various DC parameters including Vth, Ion, Ioff, SS, and gm was considered. Through the simulation result, the optimum design conditions of JL FinFET with Lch of 20 nm and tox of 2nm were as follows: Dch of 2.7×1019 cm−3, Wfin of 6 ∼ 10 nm, and Hfin of under 10 nm. Finally, under the condition which Dch of 2.7×1019 cm−3, Wfin of 10 nm, and Hfin of 10 nm, the fT and fmax were obtained as 213.3 GHz and 366.6 GHz respectively. Consequently, the optimized JL FinFET can be a promising structure of next-generation silicon-based LSPT transistors.
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피인용 문헌
- Impact of Fin Width Scaling on RF/Analog Performance of Junctionless Accumulation-Mode Bulk FinFET vol.12, pp.4, 2016, https://doi.org/10.1145/2903143