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International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
DOI : 10.5121/vlsic.2011.2316 185
LINEARITY AND ANALOG PERFORMANCE
ANALYSIS OF DOUBLE GATE TUNNEL
FET: EFFECT OF TEMPERATURE AND
GATE STACK
RAKHI NARANG
1
, MANOJ SAXENA
2
, R. S. GUPTA
3
AND MRIDULA GUPTA
1
1
Semiconductor Device Research Laboratory, Department of Electronic Science,
University of Delhi, South Campus, New Delhi, India
rakhinarang@gmail.com, mridula@south.du.ac.in
2
Department of Electronics, Deen Dayal Upadhyaya College,
University of Delhi, New Delhi, India
saxena_manoj77@yahoo.co.in
3
Department of Electronics and Communication Engineering,
Maharaja Agrasen Institute Of Technology,
Sector-22, Rohini, Delhi, India
rsgu@bol.net.in
ABSTRACT
The linearity and analog performance of a Silicon Double Gate Tunnel Field Effect Transistor (DG-TFET)
is investigated and the impact of elevated temperature on the device performance degradation has been
studied. The impact on the device performance due to the rise in temperature and a gate stack (GS)
architecture has also been investigated for the case of Silicon DG-MOSFET and a comparison with DG-
TFET is made. The parameters governing the analog performance and linearity have been studied, and
high frequency simulations are carried out to determine the cut-off frequency of the device and its
temperature dependence.
KEYWORDS
Analog, DG-TFET, Gate Stack, Linearity
1. INTRODUCTION
With the advancements in the wireless and mobile communication demand of high levels of
integration and cost effective technologies are needed. The continuous scaling of CMOS
technology has resulted in high speed MOS devices suitable for analog RF applications [1]. The
modern day communication requires low distortion and linear systems as a building block for
their design. But today the challenges CMOS technology is facing in terms of severe Short
channel effects (SCEs), punch through arising from the extremely scaled dimensions has resulted
in the need to explore new device architectures and design [2]. There are several experimental
and simulation based studies showing TFETs as a potential candidate for the deep sub micron
regime. The immunity against the SCEs, low leakage current and CMOS compatible technology
makes it an attractive alternative for conventional MOSFETs. The earlier studies on TFETs are
focused on achieving high Ion/Ioff [3], sub 60mV/dec subthreshold slope [4], low power supply
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
186
operation [5], device performance mainly targeted for the digital applications. The analog and
linearity performance is still an unexplored area and needs to be investigated too. So the focus of
this study is on studying the linearity and analog performance of TFETs to determine their
suitability for analog/ RF applications. Tunnel FETs has been demonstrated experimentally as a
device with immunity against temperature variations over a wide range [6-9]. The earlier studies
have reported weak temperature dependent TFET characteristics and the temperature independent
behavior of Subthreshold swing. To address the issue of low ON currents in TFETs several
device designs and optimizations are reported, use of a high-k dielectric being one of the possible
solutions [10-11]. In the present work, the effect of two parameters namely the impact of
temperature variations and the impact of a Gate Stack architecture has been studied on the
linearity, distortion and analog performance metrics like VIP2, VIP3, IMD3, device efficiency
gm/Ids, drain output resistance Rout, early voltage (Vea) intrinsic device gain gm/gd. The effect of
temperature has also been studied for DG-MOSFET through the above mentioned parameters in
order to make a comparison with DG-TFET in terms of its capability to sustain the temperature
variations.
The paper has been divided into two sections. In first part, the impact of temperature has been
analyzed and in the second part the effect of Gate Stack architecture is considered and finally the
results are concluded
Figure 1. Schematic of the simulated devices (a) DG-TFET and (b) DG-MOSFET
2. DEVICE DESIGN AND SIMULATION TOOLS
The schematic for the simulated devices DG-TFET and DG-MOSFET are shown in fig. 1. All the
simulations have been carried out using the numerical device simulation software ATLAS 3D
[12]. Kaneā€™s Band to Band tunneling model is employed for DG-TFET. Physical models
activated for simulation comprises of concentration and field dependent and surface mobility
models, Shockley Read Hall recombination models, and Fermi Dirac statistics. Source and drain
junctions are considered to be abrupt. Quantum corrections are neglected. A uniform and
asymmetric source and drain doping are chosen for DG-TFET (p+ source NA=1020
cm-3
, n+ drain
ND=5х1018
cm-3
and a lightly doped p type channel Ni=1015
cm-3
) in order to suppress the
ambipolar behavior. Silicon channel thickness (tsi) is considered as 10nm with a gate oxide
thickness tox of 3nm SiO2 and channel length L=70nm. The gate stack architecture consists of a
p+
t si
n+
Gate
Gate
Īµox2, tox2
p
Tunneling
junction
Low-k (SiO2)
Highā€“k
dielectric
L
Īµox1, to x1
(a)
Gate Stack
Architecture
n+
t si
n+
Gate
Gate
Īµox2, tox2
p
Low-k (SiO2)
Highā€“k
dielectric
Gate Stack
Architecture
L
Īµox1, to x1
(b)
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
187
2nm high-k (tox2) and 1nm of SiO2 (tox1). For DG-MOSFET a symmetric doping profile is chosen
with source and drain doping (n+) of ND=1020
cm-3
and channel doping similar to DG-TFET. Both
the devices (DG-MOSFET and DG-TFET) are optimized for same threshold voltage i.e
Vth=0.33V @ Vds=1V (evaluated using the constant current method Vth @ Vds=1V @ Ids=10-
7
A/um). For Gate Stack architecture, 1nm of SiO2 (Īµox1 =3.9) and a 2nm of high-k gate with
dielectric constant Īµox2 =10 is considered. The simulations has been carried out with default
simulator parameters, the magnitude of the results obtained may have 5-10% variations with
respect to experimental results, but the basic trends and findings would remain same.
3. LINEARITY AND ANALOG PERFORMANCE METRICS
The important device parameters for linearity and analog applications are transconductance (gm)
and drain output conductance (gd). Transconductance (gm) determine the various Figure of Merits
(FoM) namely VIP2, VIP3, IMD3 used to assess linearity and distortion as well as gain and cut-off
frequencies. For analog design the crucial parameters are device efficiency gm/Ids, intrinsic dc gain
gm/gd and drain output resistance Rout [13-15].
4 * / .
2 1 2 an
VIP g g
m m const t V
ds
= (1)
2 4 * / .
3 1 3 tan
V IP g g
m m co ns t V
d s
= (2)
( ) .
23* 4.5*( ) *
3 3 3
IMD R VIP g
L m
=
(3)
/
1
g I V
m ds gs
= āˆ‚ āˆ‚ , 2 2/
2
g I V
m ds gs
= āˆ‚ āˆ‚ , 3 3/
3
g I V
m ds gs
= āˆ‚ āˆ‚
(4)
4. IMPACT OF TEMPERATURE
The transfer characteristics of DG-MOSFET and DG-TFET and the impact of temperature on
drain current is shown in fig. 2. It is observed that the effect of temperature in case of DG-TFET
is weak and it results in the increase of drain current both in ON and OFF state, although very
small. This increase in value of drain current can be understood by the Kaneā€™s band to band
tunnelling equation given by
3 / 22
exp .
1/ 2
B EE g
I G A
ds btbt EE
g
ļ£« ļ£¶āˆ’
ļ£¬ ļ£·
āˆ = ļ£¬ ļ£·
ļ£¬ ļ£·
ļ£­ ļ£ø
(5)
where E is the electric field which is Vgs dependent, Eg is the band gap, A and B are the
material dependent parameters having default values defined in the simulator.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
188
1.E-09
1.E-08
1.E-07
1.E-06
1.E-05
1.E-04
0 0.3 0.6 0.9 1.2 1.5
Ids(A/Āµm)
Vgs (V)
Vds=1V,
L=70nm
(a)
1.E-13
1.E-11
1.E-09
1.E-07
1.E-05
1.E-03
0 0.3 0.6 0.9 1.2 1.5
Ids(A/Āµm)
Vgs (V)
Vds=1V,
L=70nm
(b)
Figure 2 Transfer characteristics (Ids-Vgs) of (a) DG-TFET and (b) DG-MOSFET at two different
temperatures. Symbols: (ā–”ā–”ā–”) for DGTFET, ( ) for DG-MOSFET where Open symbols for
300K, Solid symbols for 400K.
Since the current depends on the band gap which is a function of temperature [16] as modeled in
ATLAS and given by eq. 6, where the default values of alpha and beta are material dependent.
With rise in temperature the band gap value reduces which leads to the increase in the band to
band tunneling current of the DG-TFET.
The reduction in the threshold voltage (Vth) is also minimum in case of DG-TFETs. The threshold
voltage reduces to 0.296 @Vds=1V and T= 400K from its value 0.33V @ Vds=1V and T=300K.
While in case of DG-MOSFET, due to increase in temperature the carriers generated in the
channel increases thus leading to significant reduction of threshold voltage (Vth @ Vds=1V and
T= 400K is 0.22V and Vth @ Vds=1V and T=300K is 0.33V) but the current degrades due to
channel mobility degradation at high temperature arising due to the increased phonon scattering.
Fig 3 (a) & (b) shows the impact of temperature on the transconductance characteristics of DG-
TFET and DG-MOSFET. As clearly observed there is a very insignificant change in the
magnitude for the case of DG-TFET in contrast with that of DG-MOSFET in which the
transconductance has significantly enhanced only in the subthreshold region due to degraded
subthreshold characteristics of DG-MOSFET at elevated temperatures.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
189
1.E-05
1.E-03
1.E-01
0 0.3 0.6 0.9 1.2 1.5
gm(mS)
Vgs (V)
Vds=1V,
L=70nm
(a)
1.E-08
1.E-05
1.E-02
1.E+01
0 0.3 0.6 0.9 1.2 1.5
gm(mS)
Vgs (V)
Vds=1V,
L=70nm
(b)
Figure 3. Variation of Transconductance (gm) with Vgs at two different temperatures 300 and
400K a) DG-TFET b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, ( ) for DG-MOSFET
where Open symbols for 300K, Solid symbols for 400K.
(6)
For better linearity performance and effective suppression of nonlinear behavior introduced by
gm3, the optimum bias point is determined by the zero crossover point of gm3 (third order
derivative of Transconductance gm1) where its value is minimum and thereby suppressing the
distortion created by gm3. The maxima in the VIP3 curve (corresponding to gm3 = 0) determines
the selection of optimum bias point for device operation for MOSFETs. But for DG-TFET the
peak in the VIP3 curve is obtained at higher gate bias values as shown in fig. 4 (a). The peak has
shifted to a lower gate bias with elevated temperature in case of DG-TFET. In case of DG-
MOSFET there are two peaks appearing one at a higher gate bias and a local maxima at lower Vgs
value. However for circuit applications the device operation in the moderate inversion regime is
preferred so the maxima appearing at Vgs=0.5V can be considered as an optimum bias point for
DG-MOSFETs. But as the temperature rises to 400 K the peak of the VIP3 curve shifts further to
lower Vgs (0.45V) as shown in fig. 4(b). This indicates the shifting of optimum bias point with
temperature variation. Since in case of DG-TFET there is no peak appearing for the VIP3 curve at
the lower gate bias values we need to choose the optimum bias point on the basis of some other
parameter, which is in this study is considered to be the intrinsic dc gain as will be discussed in
the later part.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
190
0
1
2
3
4
5
0 0.3 0.6 0.9 1.2 1.5
VIP3
Vgs (V)
Vds=1V,
L=70nm
(a)
0
2
4
6
8
10
0 0.3 0.6 0.9 1.2 1.5
VIP3
Vgs (V)
Vds=1V,
L=70nm
(b)
Figure 4. VIP3 variation with Vgs for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for
DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K.
-80
-60
-40
-20
0
20
0 0.3 0.6 0.9 1.2 1.5
IMD3(dBm)
Vgs (V)
Vds=1V,
L=70nm
(a)
-150
-120
-90
-60
-30
0
30
60
0 0.3 0.6 0.9 1.2 1.5
IMD3(dBm)
Vgs (V)
Vds=1V,
L=70nm
(b)
Figure. 5. IMD3 variation with Vgs for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for
DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K.
Fig. 5 shows the variation of IMD3 with Vgs which determines the distortion performance of a
device. For minimization of distortion this parameter should be low. As depicted, there is a very
insignificant change in IMD3 with rise in temperature in case of DG-TFET while it has degraded
in the subthreshold to moderate inversion regime in case of DG-MOSFET. Moreover the value of
IMD3 is lower in comparison to DG-MOSFET near the bias point determined by VIP3 in case of
DG-MOSFET thus indicating better distortion suppression. Since in case DG-TFET, current
increases with rise in temperature, thus a rise in the device efficiency (gm/Ids) can also be seen as
shown in fig 6(a). In case of DG-MOSFET the device efficiency has degraded severely at
elevated temperature as can be observed by fig. 6 (b), this is due to the degradation of Ids-Vgs
characteristics for high temperatures.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
191
0
5
10
15
20
25
1.E-09 1.E-07 1.E-05 1.E-03
gm/Ids(V-1)
Ids (A/Āµm)
Vds=1V,
L=70nm
(a)
0
25
50
75
1.E-09 1.E-06 1.E-03
gm/Ids(V-1)
Ids (A/Āµm)
Vds=1V, L=70nm
(b)
Figure 6. Device efficiency (gm/Ids) Vs Ids for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”)
for DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K.
Since the drain current has finite conductance (drain conductance gd), and it is the result of CLM
(channel length modulation) and Drain induced barrier lowering (DIBL) due to increase in drain
voltage (Vds) in case of a MOSFET, so the drain current is not constant in the saturation region.
The drain conductance is also an important analog performance parameter. A low value of drain
conductance results in a high intrinsic gain (gm/gd) parameter. As depicted from fig. 7 (a) drain
conductance for a DGTFET is very low as compared to a DGMOSFET (fig. 7 (b)) because the
drain current saturation is better in case of a DGTFET, while for a DGMOSFET the CLM effect
is visible in fig. 7(b). Figure 7 (a) also shows the effect of increasing gate bias on the drain
conductance and it is seen that the drain saturation voltage shifts to higher values for high gate
voltage. The low value of drain conductance results in high value of early voltage (Vea) and Rout
which are also important parameter for analog performance as shown in fig. 8 and 10. With
increase in temperature drain conductance increases, the effect is more prominent at lower gate
voltage for a DGMOSFET.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
192
1.E-07
1.E-05
1.E-03
1.E-01
0 0.3 0.6 0.9 1.2 1.5
gd(mS)
Vds (V)
Vgs=1V
Vgs=0.5V
Vds=1V, L=70nm
(a)
0.001
0.01
0.1
1
10
0 0.3 0.6 0.9 1.2 1.5
gd(mS)
Vds(V)
Vgs=1V
Vgs=0.5V
Vds=1V, L=70nm
(b)
Figure 7 Drain conductance (gd) at different gate bias for (a) DG-TFET (b) DGMOSFET.
Symbols: Open symbols for 300K, Solid symbols for 400K.
Another important device parameter for analog circuit design is intrinsic dc gain gm/gd. The effect
of temperature on gm/gd is shown in fig. 9. It is observed that the device gain does not degrade
much in case of DG-TFET but the range of Vgs values over which the gain remains fairly constant
and appreciable is reduced for higher temperature. But we can still choose the Vgs value where
gain is appreciably higher and hence we can consider the gm/gd to be the parameter to determine
the bias point at which a fairly high gain value is achieved with a decent linearity and distortion
performance. In case of DG-MOSFET the gain reduces at elevated temperature.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
193
Figure 8. Early voltage (Vea) variation with drain bias (Vds) for DGTFET and
DGMOSFET. Symbols: Open symbols for 300K, Solid symbols for 400K.
1.E+00
1.E+02
1.E+04
0.1 0.3 0.5 0.7 0.9
gm/gd
Vgs (V)
Vds=1V
L=70nm
(a)
1
10
100
1000
0.1 0.3 0.5 0.7 0.9
gm/gd
Vgs (V)
Vds=1V
L=70nm
(b)
Figure 9. Intrinsic dc gain (gm/gd) Vs Vgs a) DG-TFET b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for
DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K.
0.001
0.01
0.1
1
10
100
1000
10000
0 0.3 0.6 0.9 1.2 1.5
EarlyVoltage,Vea(V)
Vds (V)
DG-MOSFET
DG-TFET
Vgs=0.5,
Vds=1V,
L=70nm
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
194
1.E+03
1.E+05
1.E+07
0 0.3 0.6 0.9 1.2 1.5
Rout(Kā„¦)
Vds (V)
Vgs=0.5V
L=70nm
(a)
0
100
200
300
400
500
600
0 0.3 0.6 0.9 1.2 1.5
Rout(Kā„¦)
Vds (V)
Vgs=0.5V
L=70nm
(b)
Figure 10. Output resistance (Rout) vs Vds for a) DGTFET b) DGMOSFET. Symbols: (ā–”ā–”ā–”) for
DGTFET, ( ) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K
The drain output resistance degrades rapidly for a DG-MOSFET at higher temperature while the
reduction is nominal in case of DG-TFET as shown in fig. 8. Thus DGTFET offers better analog
performance as also predicted in an experimental demonstration of multiple gate TFET [17].
To study the dynamic performance, high frequency ac simulations are carried out in the range of
100MHz to 100 GHz. The parameter Current gain (H21) is extracted and its variation with
frequency is shown in fig. 11. Current gain ( 21
2 ( )
m
gs gd
g
H
f C CĻ€
=
+
) depends on trans
conductance (gm) and source, drain parasitic capacitances Cgs and Cgd. With increasing
temperature, drain current increases in case of a TFET and so does transconductance, thus current
gain also increases (fig. 11) and similarly the maximum available power gain also increases
(fig.12). Cut off frequency which is evaluated as that frequency at which the current gain
becomes unity. It also increases, because it directly depends on transconductance. The cut-off
frequencies obtained at gate bias (Vgs=0.5V, Vds=1V) are 1.84GHz, 2GHz and 2.54 GHz at
temperatures 250K, 300K and 400K respectively. At high gate bias (saturation condition,
Vgs=0.7V, Vds=1V), cut off frequencies evaluated for a DGTFET are 4.9GHz, 5.4 and 6.4GHz at
temperatures 250K, 300K and 400K respectively.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
195
-5
0
5
10
15
20
25
30
0.1 1 10 100
CurrentGain(dB)
frequency (GHz)
T=250
T=300
T=400
Figure 11. Current gain variation over frequency range at different temperatures for a
DGTFET L=45nm, Vgs=0.5V, Vds=1V
0
2
4
6
8
10
12
14
16
18
20
0.1 1 10 100
Gma(dB)
f requency (GHz)
T=250
T=300
T=400
Figure 12. Variation of maximum available power gain with frequency for a DGTFET at
different temperatures. L=45nm, Vgs=0.5V, Vds=1V
5. IMPACT OF GATE STACK
In this section, the impact of Gate Stack architecture on various linearity and analog performance
parameters are studied. Since use of high-k is considered to be an alternative to overcome the
impediments of low ON currents in case of TFETs. So in view of that the performance of DG-
TFET has been studied with Gate Stack architecture and the possible enhancements brought about
are investigated.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
196
As can be seen from fig. 13 (a) the trans conductance has improved with the usage of a high-k
dielectric Gate Stack architecture due to the enhanced gate control and current driving capability.
The linearity FoM, VIP2 has also enhanced for a Gate Stack DG-TFET. Similarly the impact can
also be depicted by the shifting of the peak of VIP3 to lower gate bias and improvement in the
magnitude at the lower Vgs values (fig. 14(a)). The IMD3 parameter degrades for Gate Stack DG-
TFET as shown by fig. 14(b).
1.E-05
1.E-03
1.E-01
0 0.3 0.6 0.9 1.2 1.5
gm(mS)
Vgs (V)
(a)
Vds=1V
L=70nm
0
1
2
3
4
5
0 0.3 0.6 0.9 1.2 1.5
VIP2
Vgs (V)
(b) Vds=1V
L=70nm
:Īµox2 =10
āˆ†:Īµox2 =3.9
Figure 13. a) Transconductance (gm) variation with Vgs (b) VIP2 variation with Vgs for DG-TFET
with SiO2 and Gate Stack architecture. Open symbols ( ) for DG-TFET with Īµ ox2 =3.9 Solid
symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµ ox2 =10.
0
1
2
3
4
5
6
7
0 0.3 0.6 0.9 1.2 1.5
VIP3
Vgs (V)
(a) Vds=1V
L=70nm
-70
-50
-30
-10
10
30
0 0.3 0.6 0.9 1.2 1.5
IMD3(dBm)
Vgs (V)
(b)
Vds=1V
L=70nm
Figure 14. VIP3 variation with Vgs (b) IMD3 variation with Vgs for DGTFET with SiO2 and Gate
Stack architecture. Open symbols ( ) for DG-TFET with Īµox2 =3.9 Solid symbols (ā–²ā–²ā–²)
for GS-DG-TFET with Īµ ox2 =10.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
197
0
4
8
12
16
1.E-09 1.E-07 1.E-05 1.E-03
gm/Ids(V-1)
Ids (A/Āµm)
(a) Vds=1V,
L=70nm
1.E+02
1.E+04
1.E+06
0 0.3 0.6 0.9 1.2 1.5
Rout(kā„¦)
Vds (V)
Vgs=0.5V
L=70nm
(b)
Figure. 15. (a) Device efficiency (gm/Ids) variation with Ids (b) Output resistance Rout variation
with Vds for DGTFET with SiO2 and Gate Stack architecture. Open symbols ( ) for DG-TFET
with Īµ ox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµox2 =10.
1.E+00
1.E+02
1.E+04
1.E+06
0.1 0.3 0.5 0.7 0.9
gm/gd
Vgs (V)
Vds=1V
L=70nm
Figure 16. Intrinsic dc gain (gm/gd) comparison for a DG-TFET and Gate Stack-DG-TFET. Open
symbols ( ) for DG-TFET with Īµ ox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµ ox2
=10.
The drain output resistance (fig. 15(b)) degrades at lower Vds values for a GS- DGTFET as
compared to without gate stack DG-TFET implying an increased effect of drain voltage at the
source side due to the improved gate control over the channel.
As fig. 15 (a) shows that the device efficiency has improved for higher drain current value
(inversion regime) for Gate Stack architecture as compared to a low k dielectric (SiO2) based DG-
TFET. This improvement is also reflected in the intrinsic dc gain value (fig. 16) which has
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
198
significantly improved for GS-DGTFET. This improvement is due to the enhanced current and
Transconductance (gm) due to the improvement of gate control introduced by gate stack.
6. CONCLUSIONS
The impact of temperature variation and introduction of Gate Stack architecture on the linearity
and analog performance of a DG-TFET has been studied. It has been shown that TFETs are more
immune to temperature variations in terms of its stable bias point selection based on achieving
high dc gain value, which is an advantage as compared to DG-MOSFET in which the bias point
chosen varies with temperature variations. The suppression of distortion is better in case of DG-
TFET as compared to DG-MOSFET and they also offer a high drain output resistance (due to a
lower DIBL effect), early voltage and intrinsic dc gain which does not significantly degrade even
at high temperature range. Further improvement in terms of linearity and higher gain can also be
obtained by using Gate Stack architecture.
ACKNOWLEDGEMENTS
Author (Rakhi Narang) would like to thank University Grants Commission (UGC), Government
of India, for financially supporting this research work.
REFERENCES
[1] B. Nauta, and A-J. Annema, (2005) ā€œAnalog/RF Circuit Design Techniques for Nanometerscale IC
Technologiesā€, Proceedings of 31st European Solid-State Circuits Conference, ESSCIRC, pp. 45-53.
[2] Q. Zhang, and A. Seabaugh, (2008) ā€œCan the Interband Tunnel FET Outperform Si CMOS?ā€,
Proceedings of Device Research Conference, pp. 73-74.
[3] S. H. Kim, H. Kam, C. Hu, and T- J. K. Liu, (2009) ā€œGermanium-source tunnel field effect transistors
with record high ION/IOFFā€, Symposium on VLSI Technology, pp. 178 ā€“ 179.
[4] W. Y. Choi, B. G. Park, J. D. Lee and T. K. Liu, (2007) ā€œTunneling field effect transistors (TFETs)
with subthreshold swing (SS) less than 60 mV/decā€, IEEE Electron Device Lett., vol. 28, pp. 743ā€“
745.
[5] S. Mookerjea, and S.Datta, (2008) ā€œComparative study of Si, Ge and InAs based steep subthreshold
slope tunnel transistors for 0.25V supply voltage logic applicationsā€, Proceedings of 63rd Device
Research Conference, pp. 47ā€“48.
[6] M. Born, K.K. Bhuwalka, M. Schindler, U. Abilene, M. Schmidt, T. Sulima, and I. Eisele,
(2006) ā€œTunnel FET: A CMOS Device for high Temperature Applicationsā€, 25th International
Conference on Microelectronics, pp. 124-127.
[7] P-F. Guo, L-T. Yang, Y. Yang, L. Fan, G-Q. Han, G.S. Samudra, and Y-C. Yeo, (2009) ā€œTunneling
Field-Effect Transistor: Effect of Strain and Temperature on Tunneling Currentā€, IEEE Electron
Device Letters, Vol. 30, pp. 981 ā€“ 983.
[8] J. Wan, C. L.Royer, A. Zaslavsky, and S. Cristoloveanu, (2010) ā€œSOI TFETs: Suppression of
ambipolar leakage and low-frequency noise behaviorā€, Proceedings of the European Solid-State
Device Research Conference (ESSDERC), pp: 341 ā€“ 344.
[9] T. Nirschl, P-F. Wang, W. Hansch, and D. Schmitt-Landsiedel, (2004) ā€œThe tunneling field effect
transistors (TFET): the temperature dependence, the simulation model, and its applicationā€,
Proceedings of the 2004 International Symposium on Circuits and Systems, pp. 713-16.
[10] C. Anghel, P.Chilagani, A. Amara, and A. Vladimirescu, (2010) ā€œTunnel field effect transistor with
increased ON current, low-k spacer and high-k dielectricā€, Applied Physics Letters, 96, pp. 122104.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
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[11] K. Boucart, A. M. Ionescu, (2007) ā€œDouble-gate tunnel FET with high- k gate dielectricā€, IEEE
Trans. Electron Devices, Vol. 54, no. 7, pp. 1725ā€“1733.
[12] ATLAS Device Simulation Software, Silvaco Int., Version 5.14.0.R
[13] P.H. Woerlee, M.J. Knitel, R. van Langevelde, D.B.M. Klaassen, L.F. Tiemeijer, A.J. Scholten, and
A.T.A. Zegers-van Duijnhoven, (2001) ā€œRF-CMOS performance trendsā€, IEEE Transactions on
Electron Devices, Vol 48, 8, pp. 1776 ā€“ 1782.
[14] W. Ma, and S.Kaya, (2003) ā€œStudy of RF Linearity in sub-50nm MOSFETs using Simulationsā€,
Journal of Computational Electronics 2, pp. 347-352.
[15] S. Kaya, W. Ma, and A. Asenov, (2003) ā€œDesign of DG-MOSFETs for High Linearity Performanceā€
IEEE International SOI Conference, pp. 68-69.
[16] S. M. Sze: Physics of Semiconductor Devices (Wiley, New York, 1981).
[17] M. Fulde, A. Heigl, M. Weis, M. Wimshofer, K. V. Arnim, T. Nirschl, M. Sterkel, G.
Knoblinger, W. Hansch, G. Wachutka, and D.Schmitt-Landsiedel, (2008)
ā€Fabrication, Optimization and Application of Complementary Multiple-Gate Tunneling FETsā€,
Proceeddings of IEEE International Nanoelectronics Conference (INEC), pp. 579 ā€“ 84.
Authors
Rakhi Narang received B.Sc. degree in electronics from University of Delhi in Year 2005
and received the Masterā€™s degree from Department of Electronic Science, University of
Delhi, South Campus New Delhi, in year 2007. She is currentl y a research fellow and
working towards the Ph. D. Degree at Department of Electronic Science, University of
Delhi, South Campus. Her research interests include Modelling and Simulation of novel
device architectures like Tunnel Field Effect Transistor.
Manoj Saxena is Assistant Professor in Department of Electronics, Deen dayal
Upadhyaya College, University of Delhi, New Delhi, India. He received B.Sc. (with
honors), M. Sc., and Ph.D. degrees from the University of Delhi, New Delhi, in 1998,
2000, and 2006, respectively, all in electronics. He joined Department of Electronics,
Deen Dayal Upadhyaya College, University of Delhi in 2000. He is the Co-principal
Investigator in research project sponsored by DRDO, Govt. of India and University
Grants Commission (UGC), Govt. of India. He has authored or coauthored 119 technical
papers in inte rnational journals and various international and national conferences. He
has contributed one chapter entitled MOSFET Modeling in the Encyclopedia on RF and
Microwave Engineering (New York: Wiley, 2005). His current research interests are in
the areas of analytical modeling, design, and simulation of Optically controlled MESFET/MOSFET, silicon-on-
nothing, insulated-shallow-extension, grooved/concave-gate MOSFETs, cylindrical gate MOSFET and Tunnel
FET. Dr. Saxena has reviewed extensively for IEEE TRANSACTIONS ON ELECTRON DEVICES,
Semiconductor Science Technology, Solid State Electronics, Journal of Physics: D Applied Physics,
Superlattices and Microstructures, Elsevier Science, UK, International Journal of Numerical Modeling:
Electronic Networks, Devices and Fields, Wiley, Journal of Electrical and Electronics Engineering Research
(JEEER), MAPAN-Journal of Metrology Society of India and International Journal of Science and Technology
Education Research. His name appeared in the Golden List of IEEE TRANSACTIONS ON ELECTRON
DEVICES Reviewers since 2005. He is also listed in the 25th Anniversary edition of Whoā€™s Who in the World.
He is Member of Institute of Physics (IOP), UK and Senior Member-IEEE (USA). He is Member of National
Academy of Sciences India (NASI), Allahabad, India, Institution of Engineering and Technology (IET), UK,
and International Association of Engineers, Hong Kong, Life Member of Semiconductor Society of India, New
Delhi, India, Life Member of Indian Science Congress Association (ISCA), Young Associate of Indian Academy
of Sciences (IAS), Bangalore, India and Joint Secretary of Society for VLSI and Microelectronics, New Delhi,
India and Secretary of IEEE EDS Delhi Chapter, New Delhi
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011
200
Mridula Gupta (SMā€™09) received the B.Sc. degree in physics, the M.Sc. degree in
electronics, the M.Tech. degree in microwave electronics, and the Ph.D. degree in
optoelectronics from the University of Delhi, Delhi, India, in 1984, 1986, 1988, and
1998, respectively.
Since 1989, she has been with the Department of Electronic Science, University of
Delhi South Campus, New Delhi, India, where she was previously a Lecturer and is
currently an Associate Professor and with the Semiconductor Devices Research
Laboratory. She has authored or coauthored approximately 235 publications in
international and national journals and conference proceedings. She has supervised 14 Ph.D. students. She
contributed the chapter entitled ā€œMOSFET Modelingā€ in the Encyclopedia on RF and Microwave Engineering
(Wiley, 2005). Her current research interests include modeling and simulation of MOSFETs, MESFETs, and
HEMTs for microwave-frequency applications.
Dr. Gupta is a Fellow of the Institution of Electronics and Telecommunication Engineers (India) and a Life
Member of the Semiconductor Society of India. She is the Chairperson of IEEE EDS Delhi Chapter. She was the
Secretary of the 2004 Asiaā€“Pacific Microwave Conference, New Delhi, held in December 2004. Dr. Gupta was
General Secretary of 12th ISMOT 2009 held in Dec 2009 in India.
R. S. Gupta (SMā€™81) received the B.Sc. and M.Sc. degrees from Agra University, Agra,
India, in 1963 and 1966, respectively, and the Ph.D. degree in electronic engineering
from the Institute of Technology, Banaras Hindu University, Varanasi, India, in 1970.
In 1971, he was with Ramjas College, University of Delhi, Delhi, India. In 1987, he
was with the Department of Electronic Science, University of Delhi South Campus,
New Delhi, India, as a Reader and later as a Professor from 1997 to 2008. He was CSIR
Emeritus Scientist with the Semiconductor Devices Research Laboratory, Department
of Electronic Science, University of Delhi till March 2009. Currently he is Professor
and Head, Department of Electronics & Communication Engineering, Maharaja Agresen Institute of Technology
(GGIP University, Delhi). He heads several major research projects sponsored by the Ministry of Defence, the
Department of Science and Technology, the Council of Science, and the Industrial Research and University
Grants Commission. In 1988, he was a Visitor with the University of Sheffield, Sheffield, U.K., under the ALIS
Link exchange program and also visited several U.S. and Spanish universities in 1995 and 1999, respectively. He
also visited the Czech Republic in August 2003; Korea in Noveber 2003; Rensselaer Polytechnic Institute, Troy,
NY, in August 2004; and China in December 2005. In Dec 19, 2007 he visited Rome, Italy and in 2009 he visited
North Texas University and Southeast Missouri State University USA. He has authored or coauthored over 520
papers in various international and national journals and conference proceedings. He contributed the chapter
entitled ā€œMOSFET Modelingā€ in the Encyclopedia on RF and Microwave Engineering (Wiley, 2005). He has
supervised 38 Ph.D. students. In addition to that he has also supervised/supervising 12 PhD students. His current
interests and activities include modeling of SOI sub-micrometer MOSFETs and LDD MOSFETs, modeling and
design of HEMTs, hot-carrier effects in MOSFETs, and modeling of GaAs MESFETs for high-performance
microwave and millimeter-wave circuits and quantum-effect devices.
Prof. Gupta was an Executive Member of the IEEE Electron Devices Society/Microwave Theory and Techniques
Society Chapter of the IEEE India Council. Prof Gupta is Life Senior Member IEEE and was Chairman of IEEE
EDS Delhi Chapter. His name also appeared in the Golden List of the IEEE TRANSACTIONS ON ELECTRON
DEVICES in December 1998, 2002, and 2004. He is a Fellow of the Institution of Electronics and
Telecommunication Engineers (India), a Life Member of the Indian Chapter of the International Centre for
Theoretical Physics, and a Life Member of the Semiconductor Society of India and chairman of society for
microelectronics and VLSI. He was the Secretary of ISRAMTā€™93 and the 1996 Asiaā€“Pacific Microwave
Conference (APMCā€™96), and the Chairman of the Technical Programme Committee of APMCā€™96. He edited the
proceedings of both of these international conferences. He was the Chairman of APMCā€™2004 held in New Delhi
in December 2004. He has been listed in Whoā€™s Who in the World. Prof Gupta was chairman of 12TH ISMOT
2009 held in Dec 2009 in India.

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LINEARITY AND ANALOG PERFORMANCE ANALYSIS OF DOUBLE GATE TUNNEL FET: EFFECT OF TEMPERATURE AND GATE STACK

  • 1. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 DOI : 10.5121/vlsic.2011.2316 185 LINEARITY AND ANALOG PERFORMANCE ANALYSIS OF DOUBLE GATE TUNNEL FET: EFFECT OF TEMPERATURE AND GATE STACK RAKHI NARANG 1 , MANOJ SAXENA 2 , R. S. GUPTA 3 AND MRIDULA GUPTA 1 1 Semiconductor Device Research Laboratory, Department of Electronic Science, University of Delhi, South Campus, New Delhi, India rakhinarang@gmail.com, mridula@south.du.ac.in 2 Department of Electronics, Deen Dayal Upadhyaya College, University of Delhi, New Delhi, India saxena_manoj77@yahoo.co.in 3 Department of Electronics and Communication Engineering, Maharaja Agrasen Institute Of Technology, Sector-22, Rohini, Delhi, India rsgu@bol.net.in ABSTRACT The linearity and analog performance of a Silicon Double Gate Tunnel Field Effect Transistor (DG-TFET) is investigated and the impact of elevated temperature on the device performance degradation has been studied. The impact on the device performance due to the rise in temperature and a gate stack (GS) architecture has also been investigated for the case of Silicon DG-MOSFET and a comparison with DG- TFET is made. The parameters governing the analog performance and linearity have been studied, and high frequency simulations are carried out to determine the cut-off frequency of the device and its temperature dependence. KEYWORDS Analog, DG-TFET, Gate Stack, Linearity 1. INTRODUCTION With the advancements in the wireless and mobile communication demand of high levels of integration and cost effective technologies are needed. The continuous scaling of CMOS technology has resulted in high speed MOS devices suitable for analog RF applications [1]. The modern day communication requires low distortion and linear systems as a building block for their design. But today the challenges CMOS technology is facing in terms of severe Short channel effects (SCEs), punch through arising from the extremely scaled dimensions has resulted in the need to explore new device architectures and design [2]. There are several experimental and simulation based studies showing TFETs as a potential candidate for the deep sub micron regime. The immunity against the SCEs, low leakage current and CMOS compatible technology makes it an attractive alternative for conventional MOSFETs. The earlier studies on TFETs are focused on achieving high Ion/Ioff [3], sub 60mV/dec subthreshold slope [4], low power supply
  • 2. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 186 operation [5], device performance mainly targeted for the digital applications. The analog and linearity performance is still an unexplored area and needs to be investigated too. So the focus of this study is on studying the linearity and analog performance of TFETs to determine their suitability for analog/ RF applications. Tunnel FETs has been demonstrated experimentally as a device with immunity against temperature variations over a wide range [6-9]. The earlier studies have reported weak temperature dependent TFET characteristics and the temperature independent behavior of Subthreshold swing. To address the issue of low ON currents in TFETs several device designs and optimizations are reported, use of a high-k dielectric being one of the possible solutions [10-11]. In the present work, the effect of two parameters namely the impact of temperature variations and the impact of a Gate Stack architecture has been studied on the linearity, distortion and analog performance metrics like VIP2, VIP3, IMD3, device efficiency gm/Ids, drain output resistance Rout, early voltage (Vea) intrinsic device gain gm/gd. The effect of temperature has also been studied for DG-MOSFET through the above mentioned parameters in order to make a comparison with DG-TFET in terms of its capability to sustain the temperature variations. The paper has been divided into two sections. In first part, the impact of temperature has been analyzed and in the second part the effect of Gate Stack architecture is considered and finally the results are concluded Figure 1. Schematic of the simulated devices (a) DG-TFET and (b) DG-MOSFET 2. DEVICE DESIGN AND SIMULATION TOOLS The schematic for the simulated devices DG-TFET and DG-MOSFET are shown in fig. 1. All the simulations have been carried out using the numerical device simulation software ATLAS 3D [12]. Kaneā€™s Band to Band tunneling model is employed for DG-TFET. Physical models activated for simulation comprises of concentration and field dependent and surface mobility models, Shockley Read Hall recombination models, and Fermi Dirac statistics. Source and drain junctions are considered to be abrupt. Quantum corrections are neglected. A uniform and asymmetric source and drain doping are chosen for DG-TFET (p+ source NA=1020 cm-3 , n+ drain ND=5х1018 cm-3 and a lightly doped p type channel Ni=1015 cm-3 ) in order to suppress the ambipolar behavior. Silicon channel thickness (tsi) is considered as 10nm with a gate oxide thickness tox of 3nm SiO2 and channel length L=70nm. The gate stack architecture consists of a p+ t si n+ Gate Gate Īµox2, tox2 p Tunneling junction Low-k (SiO2) Highā€“k dielectric L Īµox1, to x1 (a) Gate Stack Architecture n+ t si n+ Gate Gate Īµox2, tox2 p Low-k (SiO2) Highā€“k dielectric Gate Stack Architecture L Īµox1, to x1 (b)
  • 3. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 187 2nm high-k (tox2) and 1nm of SiO2 (tox1). For DG-MOSFET a symmetric doping profile is chosen with source and drain doping (n+) of ND=1020 cm-3 and channel doping similar to DG-TFET. Both the devices (DG-MOSFET and DG-TFET) are optimized for same threshold voltage i.e Vth=0.33V @ Vds=1V (evaluated using the constant current method Vth @ Vds=1V @ Ids=10- 7 A/um). For Gate Stack architecture, 1nm of SiO2 (Īµox1 =3.9) and a 2nm of high-k gate with dielectric constant Īµox2 =10 is considered. The simulations has been carried out with default simulator parameters, the magnitude of the results obtained may have 5-10% variations with respect to experimental results, but the basic trends and findings would remain same. 3. LINEARITY AND ANALOG PERFORMANCE METRICS The important device parameters for linearity and analog applications are transconductance (gm) and drain output conductance (gd). Transconductance (gm) determine the various Figure of Merits (FoM) namely VIP2, VIP3, IMD3 used to assess linearity and distortion as well as gain and cut-off frequencies. For analog design the crucial parameters are device efficiency gm/Ids, intrinsic dc gain gm/gd and drain output resistance Rout [13-15]. 4 * / . 2 1 2 an VIP g g m m const t V ds = (1) 2 4 * / . 3 1 3 tan V IP g g m m co ns t V d s = (2) ( ) . 23* 4.5*( ) * 3 3 3 IMD R VIP g L m = (3) / 1 g I V m ds gs = āˆ‚ āˆ‚ , 2 2/ 2 g I V m ds gs = āˆ‚ āˆ‚ , 3 3/ 3 g I V m ds gs = āˆ‚ āˆ‚ (4) 4. IMPACT OF TEMPERATURE The transfer characteristics of DG-MOSFET and DG-TFET and the impact of temperature on drain current is shown in fig. 2. It is observed that the effect of temperature in case of DG-TFET is weak and it results in the increase of drain current both in ON and OFF state, although very small. This increase in value of drain current can be understood by the Kaneā€™s band to band tunnelling equation given by 3 / 22 exp . 1/ 2 B EE g I G A ds btbt EE g ļ£« ļ£¶āˆ’ ļ£¬ ļ£· āˆ = ļ£¬ ļ£· ļ£¬ ļ£· ļ£­ ļ£ø (5) where E is the electric field which is Vgs dependent, Eg is the band gap, A and B are the material dependent parameters having default values defined in the simulator.
  • 4. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 188 1.E-09 1.E-08 1.E-07 1.E-06 1.E-05 1.E-04 0 0.3 0.6 0.9 1.2 1.5 Ids(A/Āµm) Vgs (V) Vds=1V, L=70nm (a) 1.E-13 1.E-11 1.E-09 1.E-07 1.E-05 1.E-03 0 0.3 0.6 0.9 1.2 1.5 Ids(A/Āµm) Vgs (V) Vds=1V, L=70nm (b) Figure 2 Transfer characteristics (Ids-Vgs) of (a) DG-TFET and (b) DG-MOSFET at two different temperatures. Symbols: (ā–”ā–”ā–”) for DGTFET, ( ) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. Since the current depends on the band gap which is a function of temperature [16] as modeled in ATLAS and given by eq. 6, where the default values of alpha and beta are material dependent. With rise in temperature the band gap value reduces which leads to the increase in the band to band tunneling current of the DG-TFET. The reduction in the threshold voltage (Vth) is also minimum in case of DG-TFETs. The threshold voltage reduces to 0.296 @Vds=1V and T= 400K from its value 0.33V @ Vds=1V and T=300K. While in case of DG-MOSFET, due to increase in temperature the carriers generated in the channel increases thus leading to significant reduction of threshold voltage (Vth @ Vds=1V and T= 400K is 0.22V and Vth @ Vds=1V and T=300K is 0.33V) but the current degrades due to channel mobility degradation at high temperature arising due to the increased phonon scattering. Fig 3 (a) & (b) shows the impact of temperature on the transconductance characteristics of DG- TFET and DG-MOSFET. As clearly observed there is a very insignificant change in the magnitude for the case of DG-TFET in contrast with that of DG-MOSFET in which the transconductance has significantly enhanced only in the subthreshold region due to degraded subthreshold characteristics of DG-MOSFET at elevated temperatures.
  • 5. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 189 1.E-05 1.E-03 1.E-01 0 0.3 0.6 0.9 1.2 1.5 gm(mS) Vgs (V) Vds=1V, L=70nm (a) 1.E-08 1.E-05 1.E-02 1.E+01 0 0.3 0.6 0.9 1.2 1.5 gm(mS) Vgs (V) Vds=1V, L=70nm (b) Figure 3. Variation of Transconductance (gm) with Vgs at two different temperatures 300 and 400K a) DG-TFET b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, ( ) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. (6) For better linearity performance and effective suppression of nonlinear behavior introduced by gm3, the optimum bias point is determined by the zero crossover point of gm3 (third order derivative of Transconductance gm1) where its value is minimum and thereby suppressing the distortion created by gm3. The maxima in the VIP3 curve (corresponding to gm3 = 0) determines the selection of optimum bias point for device operation for MOSFETs. But for DG-TFET the peak in the VIP3 curve is obtained at higher gate bias values as shown in fig. 4 (a). The peak has shifted to a lower gate bias with elevated temperature in case of DG-TFET. In case of DG- MOSFET there are two peaks appearing one at a higher gate bias and a local maxima at lower Vgs value. However for circuit applications the device operation in the moderate inversion regime is preferred so the maxima appearing at Vgs=0.5V can be considered as an optimum bias point for DG-MOSFETs. But as the temperature rises to 400 K the peak of the VIP3 curve shifts further to lower Vgs (0.45V) as shown in fig. 4(b). This indicates the shifting of optimum bias point with temperature variation. Since in case of DG-TFET there is no peak appearing for the VIP3 curve at the lower gate bias values we need to choose the optimum bias point on the basis of some other parameter, which is in this study is considered to be the intrinsic dc gain as will be discussed in the later part.
  • 6. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 190 0 1 2 3 4 5 0 0.3 0.6 0.9 1.2 1.5 VIP3 Vgs (V) Vds=1V, L=70nm (a) 0 2 4 6 8 10 0 0.3 0.6 0.9 1.2 1.5 VIP3 Vgs (V) Vds=1V, L=70nm (b) Figure 4. VIP3 variation with Vgs for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. -80 -60 -40 -20 0 20 0 0.3 0.6 0.9 1.2 1.5 IMD3(dBm) Vgs (V) Vds=1V, L=70nm (a) -150 -120 -90 -60 -30 0 30 60 0 0.3 0.6 0.9 1.2 1.5 IMD3(dBm) Vgs (V) Vds=1V, L=70nm (b) Figure. 5. IMD3 variation with Vgs for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. Fig. 5 shows the variation of IMD3 with Vgs which determines the distortion performance of a device. For minimization of distortion this parameter should be low. As depicted, there is a very insignificant change in IMD3 with rise in temperature in case of DG-TFET while it has degraded in the subthreshold to moderate inversion regime in case of DG-MOSFET. Moreover the value of IMD3 is lower in comparison to DG-MOSFET near the bias point determined by VIP3 in case of DG-MOSFET thus indicating better distortion suppression. Since in case DG-TFET, current increases with rise in temperature, thus a rise in the device efficiency (gm/Ids) can also be seen as shown in fig 6(a). In case of DG-MOSFET the device efficiency has degraded severely at elevated temperature as can be observed by fig. 6 (b), this is due to the degradation of Ids-Vgs characteristics for high temperatures.
  • 7. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 191 0 5 10 15 20 25 1.E-09 1.E-07 1.E-05 1.E-03 gm/Ids(V-1) Ids (A/Āµm) Vds=1V, L=70nm (a) 0 25 50 75 1.E-09 1.E-06 1.E-03 gm/Ids(V-1) Ids (A/Āµm) Vds=1V, L=70nm (b) Figure 6. Device efficiency (gm/Ids) Vs Ids for a) DG-TFET and b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. Since the drain current has finite conductance (drain conductance gd), and it is the result of CLM (channel length modulation) and Drain induced barrier lowering (DIBL) due to increase in drain voltage (Vds) in case of a MOSFET, so the drain current is not constant in the saturation region. The drain conductance is also an important analog performance parameter. A low value of drain conductance results in a high intrinsic gain (gm/gd) parameter. As depicted from fig. 7 (a) drain conductance for a DGTFET is very low as compared to a DGMOSFET (fig. 7 (b)) because the drain current saturation is better in case of a DGTFET, while for a DGMOSFET the CLM effect is visible in fig. 7(b). Figure 7 (a) also shows the effect of increasing gate bias on the drain conductance and it is seen that the drain saturation voltage shifts to higher values for high gate voltage. The low value of drain conductance results in high value of early voltage (Vea) and Rout which are also important parameter for analog performance as shown in fig. 8 and 10. With increase in temperature drain conductance increases, the effect is more prominent at lower gate voltage for a DGMOSFET.
  • 8. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 192 1.E-07 1.E-05 1.E-03 1.E-01 0 0.3 0.6 0.9 1.2 1.5 gd(mS) Vds (V) Vgs=1V Vgs=0.5V Vds=1V, L=70nm (a) 0.001 0.01 0.1 1 10 0 0.3 0.6 0.9 1.2 1.5 gd(mS) Vds(V) Vgs=1V Vgs=0.5V Vds=1V, L=70nm (b) Figure 7 Drain conductance (gd) at different gate bias for (a) DG-TFET (b) DGMOSFET. Symbols: Open symbols for 300K, Solid symbols for 400K. Another important device parameter for analog circuit design is intrinsic dc gain gm/gd. The effect of temperature on gm/gd is shown in fig. 9. It is observed that the device gain does not degrade much in case of DG-TFET but the range of Vgs values over which the gain remains fairly constant and appreciable is reduced for higher temperature. But we can still choose the Vgs value where gain is appreciably higher and hence we can consider the gm/gd to be the parameter to determine the bias point at which a fairly high gain value is achieved with a decent linearity and distortion performance. In case of DG-MOSFET the gain reduces at elevated temperature.
  • 9. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 193 Figure 8. Early voltage (Vea) variation with drain bias (Vds) for DGTFET and DGMOSFET. Symbols: Open symbols for 300K, Solid symbols for 400K. 1.E+00 1.E+02 1.E+04 0.1 0.3 0.5 0.7 0.9 gm/gd Vgs (V) Vds=1V L=70nm (a) 1 10 100 1000 0.1 0.3 0.5 0.7 0.9 gm/gd Vgs (V) Vds=1V L=70nm (b) Figure 9. Intrinsic dc gain (gm/gd) Vs Vgs a) DG-TFET b) DG-MOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, (āˆ†āˆ†āˆ†) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K. 0.001 0.01 0.1 1 10 100 1000 10000 0 0.3 0.6 0.9 1.2 1.5 EarlyVoltage,Vea(V) Vds (V) DG-MOSFET DG-TFET Vgs=0.5, Vds=1V, L=70nm
  • 10. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 194 1.E+03 1.E+05 1.E+07 0 0.3 0.6 0.9 1.2 1.5 Rout(Kā„¦) Vds (V) Vgs=0.5V L=70nm (a) 0 100 200 300 400 500 600 0 0.3 0.6 0.9 1.2 1.5 Rout(Kā„¦) Vds (V) Vgs=0.5V L=70nm (b) Figure 10. Output resistance (Rout) vs Vds for a) DGTFET b) DGMOSFET. Symbols: (ā–”ā–”ā–”) for DGTFET, ( ) for DG-MOSFET where Open symbols for 300K, Solid symbols for 400K The drain output resistance degrades rapidly for a DG-MOSFET at higher temperature while the reduction is nominal in case of DG-TFET as shown in fig. 8. Thus DGTFET offers better analog performance as also predicted in an experimental demonstration of multiple gate TFET [17]. To study the dynamic performance, high frequency ac simulations are carried out in the range of 100MHz to 100 GHz. The parameter Current gain (H21) is extracted and its variation with frequency is shown in fig. 11. Current gain ( 21 2 ( ) m gs gd g H f C CĻ€ = + ) depends on trans conductance (gm) and source, drain parasitic capacitances Cgs and Cgd. With increasing temperature, drain current increases in case of a TFET and so does transconductance, thus current gain also increases (fig. 11) and similarly the maximum available power gain also increases (fig.12). Cut off frequency which is evaluated as that frequency at which the current gain becomes unity. It also increases, because it directly depends on transconductance. The cut-off frequencies obtained at gate bias (Vgs=0.5V, Vds=1V) are 1.84GHz, 2GHz and 2.54 GHz at temperatures 250K, 300K and 400K respectively. At high gate bias (saturation condition, Vgs=0.7V, Vds=1V), cut off frequencies evaluated for a DGTFET are 4.9GHz, 5.4 and 6.4GHz at temperatures 250K, 300K and 400K respectively.
  • 11. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 195 -5 0 5 10 15 20 25 30 0.1 1 10 100 CurrentGain(dB) frequency (GHz) T=250 T=300 T=400 Figure 11. Current gain variation over frequency range at different temperatures for a DGTFET L=45nm, Vgs=0.5V, Vds=1V 0 2 4 6 8 10 12 14 16 18 20 0.1 1 10 100 Gma(dB) f requency (GHz) T=250 T=300 T=400 Figure 12. Variation of maximum available power gain with frequency for a DGTFET at different temperatures. L=45nm, Vgs=0.5V, Vds=1V 5. IMPACT OF GATE STACK In this section, the impact of Gate Stack architecture on various linearity and analog performance parameters are studied. Since use of high-k is considered to be an alternative to overcome the impediments of low ON currents in case of TFETs. So in view of that the performance of DG- TFET has been studied with Gate Stack architecture and the possible enhancements brought about are investigated.
  • 12. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 196 As can be seen from fig. 13 (a) the trans conductance has improved with the usage of a high-k dielectric Gate Stack architecture due to the enhanced gate control and current driving capability. The linearity FoM, VIP2 has also enhanced for a Gate Stack DG-TFET. Similarly the impact can also be depicted by the shifting of the peak of VIP3 to lower gate bias and improvement in the magnitude at the lower Vgs values (fig. 14(a)). The IMD3 parameter degrades for Gate Stack DG- TFET as shown by fig. 14(b). 1.E-05 1.E-03 1.E-01 0 0.3 0.6 0.9 1.2 1.5 gm(mS) Vgs (V) (a) Vds=1V L=70nm 0 1 2 3 4 5 0 0.3 0.6 0.9 1.2 1.5 VIP2 Vgs (V) (b) Vds=1V L=70nm :Īµox2 =10 āˆ†:Īµox2 =3.9 Figure 13. a) Transconductance (gm) variation with Vgs (b) VIP2 variation with Vgs for DG-TFET with SiO2 and Gate Stack architecture. Open symbols ( ) for DG-TFET with Īµ ox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµ ox2 =10. 0 1 2 3 4 5 6 7 0 0.3 0.6 0.9 1.2 1.5 VIP3 Vgs (V) (a) Vds=1V L=70nm -70 -50 -30 -10 10 30 0 0.3 0.6 0.9 1.2 1.5 IMD3(dBm) Vgs (V) (b) Vds=1V L=70nm Figure 14. VIP3 variation with Vgs (b) IMD3 variation with Vgs for DGTFET with SiO2 and Gate Stack architecture. Open symbols ( ) for DG-TFET with Īµox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµ ox2 =10.
  • 13. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 197 0 4 8 12 16 1.E-09 1.E-07 1.E-05 1.E-03 gm/Ids(V-1) Ids (A/Āµm) (a) Vds=1V, L=70nm 1.E+02 1.E+04 1.E+06 0 0.3 0.6 0.9 1.2 1.5 Rout(kā„¦) Vds (V) Vgs=0.5V L=70nm (b) Figure. 15. (a) Device efficiency (gm/Ids) variation with Ids (b) Output resistance Rout variation with Vds for DGTFET with SiO2 and Gate Stack architecture. Open symbols ( ) for DG-TFET with Īµ ox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµox2 =10. 1.E+00 1.E+02 1.E+04 1.E+06 0.1 0.3 0.5 0.7 0.9 gm/gd Vgs (V) Vds=1V L=70nm Figure 16. Intrinsic dc gain (gm/gd) comparison for a DG-TFET and Gate Stack-DG-TFET. Open symbols ( ) for DG-TFET with Īµ ox2 =3.9 Solid symbols (ā–²ā–²ā–²) for GS-DG-TFET with Īµ ox2 =10. The drain output resistance (fig. 15(b)) degrades at lower Vds values for a GS- DGTFET as compared to without gate stack DG-TFET implying an increased effect of drain voltage at the source side due to the improved gate control over the channel. As fig. 15 (a) shows that the device efficiency has improved for higher drain current value (inversion regime) for Gate Stack architecture as compared to a low k dielectric (SiO2) based DG- TFET. This improvement is also reflected in the intrinsic dc gain value (fig. 16) which has
  • 14. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 198 significantly improved for GS-DGTFET. This improvement is due to the enhanced current and Transconductance (gm) due to the improvement of gate control introduced by gate stack. 6. CONCLUSIONS The impact of temperature variation and introduction of Gate Stack architecture on the linearity and analog performance of a DG-TFET has been studied. It has been shown that TFETs are more immune to temperature variations in terms of its stable bias point selection based on achieving high dc gain value, which is an advantage as compared to DG-MOSFET in which the bias point chosen varies with temperature variations. The suppression of distortion is better in case of DG- TFET as compared to DG-MOSFET and they also offer a high drain output resistance (due to a lower DIBL effect), early voltage and intrinsic dc gain which does not significantly degrade even at high temperature range. Further improvement in terms of linearity and higher gain can also be obtained by using Gate Stack architecture. ACKNOWLEDGEMENTS Author (Rakhi Narang) would like to thank University Grants Commission (UGC), Government of India, for financially supporting this research work. REFERENCES [1] B. Nauta, and A-J. Annema, (2005) ā€œAnalog/RF Circuit Design Techniques for Nanometerscale IC Technologiesā€, Proceedings of 31st European Solid-State Circuits Conference, ESSCIRC, pp. 45-53. [2] Q. Zhang, and A. Seabaugh, (2008) ā€œCan the Interband Tunnel FET Outperform Si CMOS?ā€, Proceedings of Device Research Conference, pp. 73-74. [3] S. H. Kim, H. Kam, C. Hu, and T- J. K. Liu, (2009) ā€œGermanium-source tunnel field effect transistors with record high ION/IOFFā€, Symposium on VLSI Technology, pp. 178 ā€“ 179. [4] W. Y. Choi, B. G. Park, J. D. Lee and T. K. Liu, (2007) ā€œTunneling field effect transistors (TFETs) with subthreshold swing (SS) less than 60 mV/decā€, IEEE Electron Device Lett., vol. 28, pp. 743ā€“ 745. [5] S. Mookerjea, and S.Datta, (2008) ā€œComparative study of Si, Ge and InAs based steep subthreshold slope tunnel transistors for 0.25V supply voltage logic applicationsā€, Proceedings of 63rd Device Research Conference, pp. 47ā€“48. [6] M. Born, K.K. Bhuwalka, M. Schindler, U. Abilene, M. Schmidt, T. Sulima, and I. Eisele, (2006) ā€œTunnel FET: A CMOS Device for high Temperature Applicationsā€, 25th International Conference on Microelectronics, pp. 124-127. [7] P-F. Guo, L-T. Yang, Y. Yang, L. Fan, G-Q. Han, G.S. Samudra, and Y-C. Yeo, (2009) ā€œTunneling Field-Effect Transistor: Effect of Strain and Temperature on Tunneling Currentā€, IEEE Electron Device Letters, Vol. 30, pp. 981 ā€“ 983. [8] J. Wan, C. L.Royer, A. Zaslavsky, and S. Cristoloveanu, (2010) ā€œSOI TFETs: Suppression of ambipolar leakage and low-frequency noise behaviorā€, Proceedings of the European Solid-State Device Research Conference (ESSDERC), pp: 341 ā€“ 344. [9] T. Nirschl, P-F. Wang, W. Hansch, and D. Schmitt-Landsiedel, (2004) ā€œThe tunneling field effect transistors (TFET): the temperature dependence, the simulation model, and its applicationā€, Proceedings of the 2004 International Symposium on Circuits and Systems, pp. 713-16. [10] C. Anghel, P.Chilagani, A. Amara, and A. Vladimirescu, (2010) ā€œTunnel field effect transistor with increased ON current, low-k spacer and high-k dielectricā€, Applied Physics Letters, 96, pp. 122104.
  • 15. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 199 [11] K. Boucart, A. M. Ionescu, (2007) ā€œDouble-gate tunnel FET with high- k gate dielectricā€, IEEE Trans. Electron Devices, Vol. 54, no. 7, pp. 1725ā€“1733. [12] ATLAS Device Simulation Software, Silvaco Int., Version 5.14.0.R [13] P.H. Woerlee, M.J. Knitel, R. van Langevelde, D.B.M. Klaassen, L.F. Tiemeijer, A.J. Scholten, and A.T.A. Zegers-van Duijnhoven, (2001) ā€œRF-CMOS performance trendsā€, IEEE Transactions on Electron Devices, Vol 48, 8, pp. 1776 ā€“ 1782. [14] W. Ma, and S.Kaya, (2003) ā€œStudy of RF Linearity in sub-50nm MOSFETs using Simulationsā€, Journal of Computational Electronics 2, pp. 347-352. [15] S. Kaya, W. Ma, and A. Asenov, (2003) ā€œDesign of DG-MOSFETs for High Linearity Performanceā€ IEEE International SOI Conference, pp. 68-69. [16] S. M. Sze: Physics of Semiconductor Devices (Wiley, New York, 1981). [17] M. Fulde, A. Heigl, M. Weis, M. Wimshofer, K. V. Arnim, T. Nirschl, M. Sterkel, G. Knoblinger, W. Hansch, G. Wachutka, and D.Schmitt-Landsiedel, (2008) ā€Fabrication, Optimization and Application of Complementary Multiple-Gate Tunneling FETsā€, Proceeddings of IEEE International Nanoelectronics Conference (INEC), pp. 579 ā€“ 84. Authors Rakhi Narang received B.Sc. degree in electronics from University of Delhi in Year 2005 and received the Masterā€™s degree from Department of Electronic Science, University of Delhi, South Campus New Delhi, in year 2007. She is currentl y a research fellow and working towards the Ph. D. Degree at Department of Electronic Science, University of Delhi, South Campus. Her research interests include Modelling and Simulation of novel device architectures like Tunnel Field Effect Transistor. Manoj Saxena is Assistant Professor in Department of Electronics, Deen dayal Upadhyaya College, University of Delhi, New Delhi, India. He received B.Sc. (with honors), M. Sc., and Ph.D. degrees from the University of Delhi, New Delhi, in 1998, 2000, and 2006, respectively, all in electronics. He joined Department of Electronics, Deen Dayal Upadhyaya College, University of Delhi in 2000. He is the Co-principal Investigator in research project sponsored by DRDO, Govt. of India and University Grants Commission (UGC), Govt. of India. He has authored or coauthored 119 technical papers in inte rnational journals and various international and national conferences. He has contributed one chapter entitled MOSFET Modeling in the Encyclopedia on RF and Microwave Engineering (New York: Wiley, 2005). His current research interests are in the areas of analytical modeling, design, and simulation of Optically controlled MESFET/MOSFET, silicon-on- nothing, insulated-shallow-extension, grooved/concave-gate MOSFETs, cylindrical gate MOSFET and Tunnel FET. Dr. Saxena has reviewed extensively for IEEE TRANSACTIONS ON ELECTRON DEVICES, Semiconductor Science Technology, Solid State Electronics, Journal of Physics: D Applied Physics, Superlattices and Microstructures, Elsevier Science, UK, International Journal of Numerical Modeling: Electronic Networks, Devices and Fields, Wiley, Journal of Electrical and Electronics Engineering Research (JEEER), MAPAN-Journal of Metrology Society of India and International Journal of Science and Technology Education Research. His name appeared in the Golden List of IEEE TRANSACTIONS ON ELECTRON DEVICES Reviewers since 2005. He is also listed in the 25th Anniversary edition of Whoā€™s Who in the World. He is Member of Institute of Physics (IOP), UK and Senior Member-IEEE (USA). He is Member of National Academy of Sciences India (NASI), Allahabad, India, Institution of Engineering and Technology (IET), UK, and International Association of Engineers, Hong Kong, Life Member of Semiconductor Society of India, New Delhi, India, Life Member of Indian Science Congress Association (ISCA), Young Associate of Indian Academy of Sciences (IAS), Bangalore, India and Joint Secretary of Society for VLSI and Microelectronics, New Delhi, India and Secretary of IEEE EDS Delhi Chapter, New Delhi
  • 16. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.3, September 2011 200 Mridula Gupta (SMā€™09) received the B.Sc. degree in physics, the M.Sc. degree in electronics, the M.Tech. degree in microwave electronics, and the Ph.D. degree in optoelectronics from the University of Delhi, Delhi, India, in 1984, 1986, 1988, and 1998, respectively. Since 1989, she has been with the Department of Electronic Science, University of Delhi South Campus, New Delhi, India, where she was previously a Lecturer and is currently an Associate Professor and with the Semiconductor Devices Research Laboratory. She has authored or coauthored approximately 235 publications in international and national journals and conference proceedings. She has supervised 14 Ph.D. students. She contributed the chapter entitled ā€œMOSFET Modelingā€ in the Encyclopedia on RF and Microwave Engineering (Wiley, 2005). Her current research interests include modeling and simulation of MOSFETs, MESFETs, and HEMTs for microwave-frequency applications. Dr. Gupta is a Fellow of the Institution of Electronics and Telecommunication Engineers (India) and a Life Member of the Semiconductor Society of India. She is the Chairperson of IEEE EDS Delhi Chapter. She was the Secretary of the 2004 Asiaā€“Pacific Microwave Conference, New Delhi, held in December 2004. Dr. Gupta was General Secretary of 12th ISMOT 2009 held in Dec 2009 in India. R. S. Gupta (SMā€™81) received the B.Sc. and M.Sc. degrees from Agra University, Agra, India, in 1963 and 1966, respectively, and the Ph.D. degree in electronic engineering from the Institute of Technology, Banaras Hindu University, Varanasi, India, in 1970. In 1971, he was with Ramjas College, University of Delhi, Delhi, India. In 1987, he was with the Department of Electronic Science, University of Delhi South Campus, New Delhi, India, as a Reader and later as a Professor from 1997 to 2008. He was CSIR Emeritus Scientist with the Semiconductor Devices Research Laboratory, Department of Electronic Science, University of Delhi till March 2009. Currently he is Professor and Head, Department of Electronics & Communication Engineering, Maharaja Agresen Institute of Technology (GGIP University, Delhi). He heads several major research projects sponsored by the Ministry of Defence, the Department of Science and Technology, the Council of Science, and the Industrial Research and University Grants Commission. In 1988, he was a Visitor with the University of Sheffield, Sheffield, U.K., under the ALIS Link exchange program and also visited several U.S. and Spanish universities in 1995 and 1999, respectively. He also visited the Czech Republic in August 2003; Korea in Noveber 2003; Rensselaer Polytechnic Institute, Troy, NY, in August 2004; and China in December 2005. In Dec 19, 2007 he visited Rome, Italy and in 2009 he visited North Texas University and Southeast Missouri State University USA. He has authored or coauthored over 520 papers in various international and national journals and conference proceedings. He contributed the chapter entitled ā€œMOSFET Modelingā€ in the Encyclopedia on RF and Microwave Engineering (Wiley, 2005). He has supervised 38 Ph.D. students. In addition to that he has also supervised/supervising 12 PhD students. His current interests and activities include modeling of SOI sub-micrometer MOSFETs and LDD MOSFETs, modeling and design of HEMTs, hot-carrier effects in MOSFETs, and modeling of GaAs MESFETs for high-performance microwave and millimeter-wave circuits and quantum-effect devices. Prof. Gupta was an Executive Member of the IEEE Electron Devices Society/Microwave Theory and Techniques Society Chapter of the IEEE India Council. Prof Gupta is Life Senior Member IEEE and was Chairman of IEEE EDS Delhi Chapter. His name also appeared in the Golden List of the IEEE TRANSACTIONS ON ELECTRON DEVICES in December 1998, 2002, and 2004. He is a Fellow of the Institution of Electronics and Telecommunication Engineers (India), a Life Member of the Indian Chapter of the International Centre for Theoretical Physics, and a Life Member of the Semiconductor Society of India and chairman of society for microelectronics and VLSI. He was the Secretary of ISRAMTā€™93 and the 1996 Asiaā€“Pacific Microwave Conference (APMCā€™96), and the Chairman of the Technical Programme Committee of APMCā€™96. He edited the proceedings of both of these international conferences. He was the Chairman of APMCā€™2004 held in New Delhi in December 2004. He has been listed in Whoā€™s Who in the World. Prof Gupta was chairman of 12TH ISMOT 2009 held in Dec 2009 in India.