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Analysis and performance exploration of high performance (HfO<sub>2</sub>) SOI FinFETs o

本站小编 Free考研考试/2022-01-01




1.
Introduction




Today, human life in all practical aspects is affected by electronic industries, and low power and high-performance portable devices have become the major requirement in commercial applications. Increasing demand for such products encourages the researchers to design a semiconductor device at sub 20 nm technology nodes. At each technology node researchers are trying to reduce the transistor size to obtain the better performance and portability of consumer products[1]. But, in CMOS technology, the continued scaling of the physical size of the transistor may couple the source-drain region, which reduces the gate electrode control over the potential distribution and flow of current in the channel, and generates undesirable side effects, called SCEs (short channel effects)[2, 3]. So, as technology is scaling down and moving into the nanometer regime, the performance of devices degrades in terms of SCEs. Now, classical bulk MOSFET structure has reached its scaling limits and it seems impossible to further shrink the dimension of the MOS transistor below 20 nm. So, there have been revolutionary changes occurring in the semiconductor device structures to get fast, reliable, and low power performance[4, 5]. FinFET has emerged as a desirable candidate to fulfill this requirement due to its 3-D geometry[68]. FinFET has both DG (double gate) and TG (triple gate) architecture and is fabricated on SOI (silicon on insulator) substrates. FinFET is a more suitable structure for CMOS (complementary metal oxide semiconductor) technology because of its easy fabrication steps, quasi-planar structure[9, 10], excellent scalability, improved SCEs, and is very close to MOSFET in respect to layout. Therefore, major semiconductor leading companies like TSMC and Intel designed the FinFET at 22 nm technology node for mobile and high-performance computing platforms and others are further trying to enhance the SCEs of SOI FinFET structure by gate-source/drain high-k spacer region optimization and source/drain extension engineering techniques near 16/14 nm future technology nodes[11, 12]. However, the tradeoff always occurs among SCEs, analog and RF performance parameters of SOI FinFET structure.



A lot of advanced semiconductor device structures are proposed by many researchers like pi-gate[13], ohm-gate[5], tri-gate, planar double gate SOI MOSFETs, Bulk FinFETs, SOI FinFETs and all around gate[14, 1518] etc. ITRS (International Technology Road Map for Semiconductors)[19] considered the FinFET a suitable structure in CMOS circuits due to low power consumption and a higher level of integration with an optimized level of SCEs. The FinFET device does not exist in discrete form. So, it requires the simulation study to evaluate the analog/RF performance characteristics at the circuit perspective view.



In this paper, 3-D simulation of SOI FinFETs of different flavors is carried out to explore the analog/ RF figures of merit at 20 nm technology node. The effect of spacers (HfO2 and Si3N4) and source/drain extension regions of SOI FinFET has been investigated with the help of 3-D simulation results. This paper starts with Section 1 which is the introduction part, and Section 2 explores the device structures of D1, D2, and D3 along with its dimensions, doping concentration, models, and spacers materials considered for the simulation process. Section 3 describes the two subsections that include the electrostatic performance characteristics matrices along with SCEs like SS, DIBL (drain induced barrier lowering), and various analog/RF matrices like AV, gd, gm, TGF = gm/Id, VEA, GFP, TFP, GTFP, and fT for device-D1, device-D2, and device-D3. Finally, Section 4 describes the conclusion part of the paper.




2.
SOI FinFET device structures and models used for simulation




Schematic diagrams of device-D1, device-D2, and device-D3 are shown in Figs. 1(a), 1(b), and 1(c) respectively. In all three symmetrical SOI FinFET structures, the 20 nm channel length is considered for 3-D simulations. Source/drain of all structures is heavily doped as n-type 1 × 1020 cm?3 and channels of all structures are lightly doped as p-type 1 × 1015 cm?3. Source/drain is heavily doped to overcome the effect of mobility degradation, which is generated due to Coulomb scattering effects. Here the total effective width of the transistor is considered because of the total current of all FinFET structures is the effect of all current components flowing through sidewalls and the top surface of Fin[20]. The structural parameters of all SOI FinFET devices used for 3D simulation in this paper are given in Table 1.






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Figure1.
(Color?online) (a) Device-D1 (conventional Si3N4 spacer SOI FinFET). (b) Device-D2 (conventional HfO2 SOI FinFET). (c) Device-D3 (source/drain extended HfO2 spacer SOI FinFET).






Parameter Description Device-D1 Device-D2 Device-D3
WFin Fin width 10 10 10
HFin Fin height 26 26 26
Lg Gate channel length 20 20 20
tox Oxide thickness 0.9 0.9 0.9
BOX Thickness of the buried oxide 40 40 40
W Effective width of transistor 62 62 62
L The total length of the device 110 110 110
Llk Spacer length (Si3N4, k = 7.5) 5
Lhk Spacer length (HfO2, k = 22) 5 5
Ws/d Source/drain width 10 10 40





Table1.
Dimensional values used for simulation in this paper (unit: nm).



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Parameter Description Device-D1 Device-D2 Device-D3
WFin Fin width 10 10 10
HFin Fin height 26 26 26
Lg Gate channel length 20 20 20
tox Oxide thickness 0.9 0.9 0.9
BOX Thickness of the buried oxide 40 40 40
W Effective width of transistor 62 62 62
L The total length of the device 110 110 110
Llk Spacer length (Si3N4, k = 7.5) 5
Lhk Spacer length (HfO2, k = 22) 5 5
Ws/d Source/drain width 10 10 40





The 3-D simulation is carried out using Sentaurus TCAD simulator[21] for the same effective width of all SOI FinFET structures and Vth (threshold voltage) of all devices is set to 0.2 V at the fixed value 0.7 V of VDS (drain-source voltage) by optimizing the Φm (gate metal work function). All electrical and physical parameters are calibrated to meet the ITRS requirements below 22 nm channel length[7, 2226]. The equivalent oxide thickness is taken as a value of 0.9 nm with the supply voltage VDD of 0.7 V.



The model considered in this paper is the velocity saturation model, concentration-dependent and field dependent models of mobility[27]. The inversion mobility Lombardi CVT[28] and model of Auger recombination with Shockley–Read–Hall (SRH)[29, 30] is also effectively used in the simulation process. For numerical simulations, the drift-diffusion method is used. A set of differential equations: Poisson, continuity, energy, and thermal equations, are also used for simulations[21]. Junctions with smooth meshing and biasing are done at room temperature. The analog/ RF performance is evaluated for high (VDS = 0.7 V) and low (VDS = 0.05 V) values of drain-source voltages.




3.
Results and discussion




SCEs performance evaluation of all SOI FinFET devices D1, D2, and D3 is done with the help of SS and DIBL parameters in the nanometer regime. DIBL is the measure of the controlling of the semiconductor device against threshold voltage reduction, and SS is responsible for a measure of ‘OFF’ characteristics of the semiconductor device. These two parameters are calculated for D1, D2, and D3 devices according to Ref. [31] and mentioned in Table 2. Electrostatic parameters summaries in Table 2 are evaluated for the values of VDS = 0.7 V and VDS = 0.05 V for all SOI FinFET structures. From evaluated results, we conclude that as moving from Si3N4 spacer device-D1 to HfO2 spacer devices D2 and D3, SS and Ion values improve with compromising in Ioff current. Device-D1 has better immunity to SCEs due to the low value of DIBL as compared to devices D2 and D3 while devices D3 and D2 have a higher value of Ion current as compared to device D1 which plays the key role in analog circuit design.






Device SS (mV/decade) Ion (μA) Ioff (nA) DIBL (mV/V)
VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.05 V
D1 71.56 67.69 61.0 33.0 12.5 5.65 30.37
D2 68.93 66.17 89.0 46.6 25.3 13.9 70.76
D3 68.89 66.41 100 57.7 58.6 30.5 81.53





Table2.
Electrostatic SCEs parameters.



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Device SS (mV/decade) Ion (μA) Ioff (nA) DIBL (mV/V)
VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.05 V
D1 71.56 67.69 61.0 33.0 12.5 5.65 30.37
D2 68.93 66.17 89.0 46.6 25.3 13.9 70.76
D3 68.89 66.41 100 57.7 58.6 30.5 81.53





ID (drain current) versus VGS (gate-source voltage) characteristics for D1, D2, and D3 devices both in the log and linear scales are plotted in Figs. 2(a) and 2(b) and gives the effective drain current for the values of VDS = 0.05 V and VDS = 0.7 V respectively. It is observed from the IDVGS characteristics in Fig. 2 that due to the HfO2 (k = 22) spacer region, ID increases significantly and device D3 has a large value of ID as compared to devices D1 and D2 due to its extended value of source/drain regions, which significantly reduces the effective value of source/drain resistance. Extended source/drain structure of SOI FinFET is beneficial for multi-fin structure designing for enhancing the further driving capability and reliability of FinFET for analog circuit applications.






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Figure2.
(Color?online) IDVGS characteristics for devices D1, D2, and D3 in log and linear scales for (a) VDS = 0.05 V, (b) VDS = 0.7 V.





3.1
Analog performance evaluation




The main figures of merit like gd, gm, VEA, TGF, and AV are explored for all SOI FinFET devices D1, D2, and D3 for evaluating the analog performance. A plot of TGF and gm versus VGS voltage for devices D1, D2, and D3 are shown in Fig. 3. The gm parameter of the semiconductor device is an important parameter which affects the gain of the amplifier and is calculated according to Eq. (1). TGF signifies the effective uses of device current to get the desired value of gm. The high TGF means the effective realization of analog circuits and operated with a low value of supply voltage. TGF is calculated according to Eq. (2).






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Figure3.
(Color?online) Trans-conductance (gm) and trans-conductance generation factor (TGF) against VGS characteristics for (a) VDS = 0.05 V, (b) VDS = 0.7 V.










$ {g_ {
m{m}}} = frac{{partial {I_ {
m{D}}}}}{{partial {V_ {
m{GS}}}}} ,$


(1)









$ {
m TGF} = frac{{{g_ {
m{m}}}}}{{{I_ {
m{D}}}}} .$


(2)



The analog performance parameters for considering the same Vth voltage evaluated at a fixed value of VDS = 0.05 V and VDS = 0.7 V for SOI FinFET devices D1, D2, and D3 are shown in Table 3. The high value of trans-conductance (gm) and improved value of early voltage (VEA) are generated for SOI FinFET devices D2 and D3 as compared to device D1 at low and high values of VDS = 0.05 V and VDS = 0.7 V respectively. The SOI FinFET devices D2 and D3 have an improved value of gain 33.06 and 32.60 dB as compared to device D1 in the saturation region respectively. The slightly low gain (30.01 dB) of SOI FinFET device-D1 is due to the low gm, which is due to the Si3N4 material used in the device. For all SOI FinFET devices, the gain is calculated according to Eq. (3).






Device gm (S) gd (S) AV (dB) TGF (V?1) VEA (V)
VDS = 0.05 V VDS = 0.7 V VDS = 0.7 V VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.7 V
D1 9.04 × 10?5 1.9 × 10?4 4.39 × 10?6 30.01 36.90 35.08 5.30
D2 1.06 × 10?4 1.80 × 10?4 4.0 × 10?6 33.06 37.92 35.97 6.35
D3 1.24 × 10?4 2.01 × 10?4 4.71 × 10?6 32.60 37.21 34.60 6.45





Table3.
Analog performance of device D1, D2, and D3 for VDS = 0.7 V and VDS = 0.05 V.



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Device gm (S) gd (S) AV (dB) TGF (V?1) VEA (V)
VDS = 0.05 V VDS = 0.7 V VDS = 0.7 V VDS = 0.7 V VDS = 0.05 V VDS = 0.7 V VDS = 0.7 V
D1 9.04 × 10?5 1.9 × 10?4 4.39 × 10?6 30.01 36.90 35.08 5.30
D2 1.06 × 10?4 1.80 × 10?4 4.0 × 10?6 33.06 37.92 35.97 6.35
D3 1.24 × 10?4 2.01 × 10?4 4.71 × 10?6 32.60 37.21 34.60 6.45











$ {A_ {
m{V}}} = frac{{{g_ {
m{m}}}}}{{{g_ {
m{d}}}}} .$


(3)



Combined performance characteristics of gd (output conductance) and ID (drain current) for SOI FinFET devices D1, D2, and D3 with the function of VDS (drain to source voltage) for the value of VGS = 0.35 V and VGS = 0.7 V are plotted in Fig. 4. It is an essential requirement of the low value of output conductance (gd) in order to have a large value of gain for analog circuit design. The high value of gd means low output resistance, which increases the drain current with VDS in saturation and this effect is known as channel length modulation. At a high gate bias point (VGS = 0.7 V) as compared to a low gate bias point (VGS = 0.35 V), there is much fluctuation of gd of all devices D1, D2, and D3 with VDS, which is shown in Fig. 4. The improved value of drain current, gain, and early voltage are obtained for HfO2 SOI FinFET devices, which are the essential requirements of analog circuit design. Output conductance and early voltages for all SOI FinFET structures are obtained according to Eqs. (4) and (5) respectively.






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Figure4.
(Color?online) Output conductance (gd) and drain current (ID) against VDS characteristics for (a) VGS = 0.35 V, (b) VGS = 0.7 V.










$ {g_ {
m{d}}} = frac{{partial {I_ {
m{D}}}}}{{{V_ {
m{DS}}}}} ,$


(4)









$ {V_ {
m{EA}}} = frac{{{I_ {
m{D}}}}}{{{g_ {
m{d}}}}} .$


(5)




3.2
RF Performance evaluation




The RF or high frequency performance of SOI FinFET devices D1, D2, and D3 is evaluated by RF circuits parameters like transconductance frequency product (TFP), gain frequency product (GFP), cut-off frequency (fT), and gain trans-conductance frequency product (GTFP) for the value of drain to source VDS = 0.7 V and VDS = 0.05 V. A combined plot of Cgd (gate to drain capacitance) and Cgs (gate to source capacitance) against of VGS (gate to source voltage) for D1, D2, and D3 devices for values of VDS = 0.7 V and VDS = 0.05 V are shown in Fig. 5. The SOI FinFETs D2 and D3 have more value of capacitances Cgs and Cgd as compared to device D1 due to more fringing field effects, which are generated by an increased value of ‘k’ in HfO2 dielectric spacer material. Device D3 has a significantly large value of Cgs and Cgd in the strong inversion region due to the source/drain extension region, which results in optimization of source/drain resistance.






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class="figure_img" id="Figure5"/>



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Figure5.
(Color?online) Cgd (gate drain capacitance) and Cgs (gate source capacitance) against VGS characteristics for (a) VDS = 0.05 V and (b) VDS = 0.7 V.




Cut-off frequency (fT) is also the key parameter to observe and analyze the performance of SOI FinFET based RF circuits. At the cut-off frequency, the unity value of current gain is generated and it is defined according to Eq. (6)[32].









$ {f_ {
m{T}}} approx frac{{{g_ {
m{m}}}}}{{2pi ({C_ {
m{gs}}} + {C_ {
m{gd}}})}} .$


(6)



The fT observation against VGS can be observed in Fig. 6 and it is noticed that due to more value of ‘k’ in HfO2 spacer material, cut-off frequency of devices D2 and D3 decreases. The low value of fT for devices D2 and D3 as compared to device D1 occurs due to the relatively higher value of intrinsic capacitances Cgs and Cgd as compared to the trans-conductance (gm). The peak value of fT of all SOI FinFETs corresponds to the peak value of gm and a minimum value of gate to source/drain capacitances.



The other RF parameters of devices D1, D2, and D3 are GFP, GTFP, and TFP, which are obtained by Eqs. (7), (8), and (9) respectively. The Cgs, Cgd, GTFP, GFP, TFP, and fT parameters are evaluated for devices D1, D2, and D3 for the values of VDS = 0.05 V and VDS = 0.7 V and are shown in Table 4 and Table 5 respectively. For the effective analysis of RF circuit performance, values are obtained at VGS = VDD/2 = 0.35 V.






Device Cgd (aF) Cgs (aF) GTFP (GHz) TFP (GHz/V) GFP (GHz) fT (GHz)
D1 33.4 35.6 6.44 × 104 1.11 × 103 1.13 × 104 195.83
D2 54.9 57.6 8.70 × 104 1.40 × 103 1.83 × 104 132.45
D3 78.8 84.6 3.63 × 104 5.66 × 102 7.49 × 103 116.86





Table4.
RF Performance of Device D1, D2, and D3 at VDS = 0.05 V.



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Device Cgd (aF) Cgs (aF) GTFP (GHz) TFP (GHz/V) GFP (GHz) fT (GHz)
D1 33.4 35.6 6.44 × 104 1.11 × 103 1.13 × 104 195.83
D2 54.9 57.6 8.70 × 104 1.40 × 103 1.83 × 104 132.45
D3 78.8 84.6 3.63 × 104 5.66 × 102 7.49 × 103 116.86








Device Cgd (aF) Cgs (aF) GTFP (GHz) TFP (GHz/V) GFP (GHz) fT (GHz)
D1 8.35 44.4 1.22 × 105 2.79 × 103 1.82 × 104 413.15
D2 14.6 73.1 7.48 × 104 1.82 × 103 1.22 × 104 296.29
D3 41.6 99.4 3.18 × 104 1.14 × 103 5.67 × 103 202.09





Table5.
RF Performance of Device D1, D2, and D3 at VDS = 0.7 V.



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Device Cgd (aF) Cgs (aF) GTFP (GHz) TFP (GHz/V) GFP (GHz) fT (GHz)
D1 8.35 44.4 1.22 × 105 2.79 × 103 1.82 × 104 413.15
D2 14.6 73.1 7.48 × 104 1.82 × 103 1.22 × 104 296.29
D3 41.6 99.4 3.18 × 104 1.14 × 103 5.67 × 103 202.09











${
m GFP} = {frac{{{g_ {
m{m}}}}}{{{g_ {
m{d}}}}}} {f_ {
m{T}}} ,$


(7)









$ {
m GTFP} = {frac{{{g_ {
m{m}}}}}{{{g_ {
m{d}}}}}} {frac{{{g_ {
m{m}}}}}{{{I_ {
m{D}}}}}} {f_ {
m{T}}} = {A_ {
m{V}}} cdot {
m TFP} ,$


(8)









${
m TFP} = {frac{{{g_ {
m{m}}}}}{{{I_ {
m{D}}}}}} {f_ {
m{T}}} .$


(9)



From Figs. 6(a) and 6(b) the peak values of GTFP for D1, D2, and D3 at VDS = 0.05 V are achieved at VGS = 0.2275 V, VGS = 0.1925 V, and VGS = 0.1925 V and low levels of corresponding currents are 4.41, 7.23, and 9.8 μA respectively. In saturation region (VDS = 0.7 V), the high value of GTFP achieved at VGS = 0.2625 V, VGS = 0.3675 V, and VGS = 0.385 V for devices D1, D2, and D3 respectively. All these biasing points are the best regions of operation for a circuit designer with tradeoff among speed, trans-conductance, and gain of the device. At these bias points, the high value of GTFP is obtained for devices D1, D2, and D3 due to higher gm, fT, and low gd values.






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Figure6.
(Color?online) GTFP (gain transconductance frequency product) and fT (cut-off frequency) against VGS for (a) VDS = 0.05 V and (b) VDS = 0.7 V.




Eq. (9) describes the occurrence of the tradeoff between effective used power and bandwidth of SOI FinFET device; the equation is most used in moderate and high-performance RF circuit design applications. GFP is described by Eq. (8) and is also an important metrics in amplifiers design in high-speed applications. Both TFP and GFP against VGS for the values of VDS = 0.05 V and VDS = 0.7 V for SOI FinFET devices D1, D2, and D3 are shown in Figs. 7(a) and 7(b) respectively. It is observed from Figs. 7(a) and 7(b) that the values of TFP and GFP increase with increasing VGS in the sub-threshold region, and moving towards the saturation region it decreases. All devices D1, D2, and D3 are compared in terms of GTFP, fT, GFP, and TFP values, device D1 gives better performance, and D2 and D3 give optimum performance with respect to RF circuit applications.






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Figure7.
(Color?online) GFP (gain frequency product) and fT (cut-off frequency) against VGS for (a) VDS = 0.05 V and (b) VDS = 0.7 V.




Further optimum analog/RF performance of device D3 is obtained by optimization of high-k space length from 2 nm to 16 nm at VDS = 0.7 V with the help of the 3-D simulation process, which is shown in Table 6. It is noticed from the simulated results in Table 6 that at VDS = 0.7 V, on increasing the spacer lengths, there is an improvement in the digital performance parameters like SS, Ioff, Ion/Ioff, and TGF with compromising in analog performance parameters like Ion and gm. At VDS = 0.7 V, 12 nm spacer length gives improved gain value with optimum cut-off frequency and slightly compromises in the digital performances.






Device spacer region, Lsp, hk SS (mV/decade) Ion (μA) Ioff (nA) Ion/Ioff TGF (V?1) gm (S) gd (S) Cgg (fF) fT (GHz) Gain, AV(gm/gd) (dB)
2 nm 83.53 106.80 185.85 574.7 25 2.15 × 10?4 1.14 × 10?5 0.210 163 25.5
5 nm 69.89 100.23 58.56 1711.6 32.5 2.02 × 10?4 5.54 × 10?6 0.150 215 31.24
8 nm 66.62 96.80 39.83 2430.3 34.9 1.96 × 10?4 4.14 × 10?6 0.133 235 33.50
12 nm 65.11 92.56 31.36 2951.5 36.1 1.89 × 10?4 2.25 × 10?6 0.137 219 38.48
16 nm 65.12 31.23 2.19 14 260.3 39.3 4.35 × 10?5 7.30 × 10?7 0.681 102 35.50





Table6.
Simulated results at different spacer length for SOI FinFET at VDS = 0.7 V.



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Device spacer region, Lsp, hk SS (mV/decade) Ion (μA) Ioff (nA) Ion/Ioff TGF (V?1) gm (S) gd (S) Cgg (fF) fT (GHz) Gain, AV(gm/gd) (dB)
2 nm 83.53 106.80 185.85 574.7 25 2.15 × 10?4 1.14 × 10?5 0.210 163 25.5
5 nm 69.89 100.23 58.56 1711.6 32.5 2.02 × 10?4 5.54 × 10?6 0.150 215 31.24
8 nm 66.62 96.80 39.83 2430.3 34.9 1.96 × 10?4 4.14 × 10?6 0.133 235 33.50
12 nm 65.11 92.56 31.36 2951.5 36.1 1.89 × 10?4 2.25 × 10?6 0.137 219 38.48
16 nm 65.12 31.23 2.19 14 260.3 39.3 4.35 × 10?5 7.30 × 10?7 0.681 102 35.50






4.
Conclusion




The analog/RF performance has been explored through 3-D device simulation for SOI FinFET devices D1, D2, and D3. An analysis is done for static and dynamic performance with Si3N4 and HfO2 spacers SOI FinFET devices. SCEs performance parameters SS, DIBL, and analog/RF parameters like VEA, fT, AV, GTFP, GFP, and TFP explored to find out the effective operating point for analog/RF circuit designs. It is observed that at VDS = 0.7 V, device D3 has 63.93 % and 12.35 % in ‘ON’ current improvement as compared to devices D1 and D2 respectively. Device D2 has 3.61 % and 2.29 % improvement in SS values as compared to devices D3 and D1 and device D1 has a much-improved value of DIBL as compared to devices D2 and D3. So, there is always tradeoff among Ion, SS, and DIBL parameters. For analog performance devices, D2 and D3 have a slightly improved value of early voltage and gain with respect to device D1 in the saturation region. Both devices D2 and D3 have better analog performance as compared to device D1 but device D2 has poor performance in current driving capability as compared to device D3. Device D3 has a good current driving capability with optimum analog performance characteristics. For RF performance, device D1 gives better results in terms of GTFP, fT, GFP, and TFP parameters due to Si3N4 material used for the spacer region. At an optimized value of spacer length 12 nm, device D3 gives better analog/RF performance at VDS = 0.7 V. So, we conclude that there is always tradeoff among SCEs, analog, and RF performance parameters of SOI FinFET at the 20 nm node.



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