Materials Focus
Vol. 7, pp. 1–7, 2018
(www.aspbs.com/mat)
Copyright © 2018 by American Scientific Publishers
All rights reserved.
Printed in the United States of America
Rigorous Study of Double Gate Tunneling Field
Effect Transistor Structure Based on Silicon
N. Guenifi1, ∗ , S. B. Rahi2 , and T. Ghodbane1
1
2
LEA Electronics Department, University Mostefa Benboulaid of Batna 2, Batna (05000) Algeria
Department of Electrical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India
ABSTRACT
KEYWORDS: Tunnel FET, High- Dielectric, Subthreshold Slope (SS), Band-to-Band Tunneling (BTBT),
Quantum Mechanical Transport QMT.
1. INTRODUCTION
The inability, to reduce power density with each progressive technology node has been a dominant constraint for
modern semiconductor players. Various techniques have
been proposed to reduce computational power spanning
from the architecture level to the fundamental semiconductor device level are being actively explored. Tunnel
Field-effect transistors (TFETs), based on band-to-band
tunneling (BTBT), a quantum mechanical transport (QMT)
phenomenon has gained a lot of attention in the modern research community due to its potential for reducing
power dissipation for advanced integrated circuits (ICs).
This ever increasing interest owes to their feasibility to
overcome the 60 mV/dec subthreshold slope limitation of
the standard MOSFETs,1–4 as well as compatibility.5 TFET
is basically a p–i–n structured device. The device operation requires reverse bias to realize tunneling phenomenon
between sources and drain regions with a sufficient level
of gate voltage.6–12
∗
Author to whom correspondence should be addressed.
Email: guenifi_2000@yahoo.fr
Received: xx Xxxx xxxx
Accepted: xx Xxxx xxxx
Mater. Focus 2018, Vol. 7, No. xx
2169-429X/2018/7/001/007
Recently, many research groups across the world have
reported many proposed devices designed to overcome the
on-state current limitation in TFET. The double gate TFET
(DG-TFET) with high- dielectric is an effective way to
improve the on-current (ION , while taking advantage of
steeper subthreshold slope and lower OFF-current.12–23
2. ANALYTIC ANALYSIS OF SENSITIVITY
For MOSFETs, the analytic expression for current in a
subthreshold regime, where most of current modulation as
a function of gate voltage occurs, is given approximately
by:12
VG
IDS = IOFF exp
(1)
Vth 1 + CS /COX
where Vth equals kT /q and IOFF is the OFF current at
VG = 0. CS represents the semiconductor capacitance and
it is a function of ch and tch for short-channel devices.
In case of TFETs, the approximate equation for the I –V
characteristics leads as follows:12
√
∗
(2)
Eg + qVG − Eg
IDS = IOFF exp A m
doi:10.1166/mat.2018.1600
1
ARTICLE
Increased static and dynamic power dissipation in the integrated circuits (ICs) are the main obstacle for growing
demands of smart phones and laptops, which require semiconductor devices having low power operation. As
the conventional MOSFET has a thermodynamic limit of 60 mV/decade at 300 K on subthreshold slope (SS),
so the device based on the mechanism other than diffusion over a thermal barrier came into existence. In
this regard, Tunnel-FET (TFET) has emerged as a promising replacement. Due to its lower subthreshold slope
(<60 mV/decade at 300 K), reduced OFF-current (IOFF ), reduced power consumption, and negligible short
channel effects, TFETs have achieved a lot of attention in the recent years. In the present research work,
double-gate TFET (DG-TFET) device has been investigated. The simulation result shows a very good ION /IOFF
ratio (1012 ) and low SS (∼41.54 mV/dec). The DG-TFET has very low off current, IOFF (∼10−17 A/m) and
ON-current of (ION ) ∼10−5 (A/m) using gate bias in the vicinity of 0.5. In addition, we have optimized the
device parameters, thus improving the ION current and the ION /IOFF ratio yield for two kinds of technologies
(using HfO2 or SiO2 as gate dielectric). A comparison between the two technologies was made. Gate to drain
(Cgd ) capacitance as function of gate to source voltage VGS as well as drain to source voltage VDS at frequency
f = 1 MHz, Cgd is weaker using SiO2 as gate dielectric compared to HfO2 .
Rigorous Study of Double Gate Tunneling Field Effect Transistor Structure Based on Silicon
Guenifi et al.
where A is the total tunneling distance which is the sum
of natural scaling length and source depletion width
WD (A = + WD , q is the unit charge and Eg and m∗
are bandgap and effective mass of the channel material,
respectively.
The subthreshold swing of a device is defined as: the
change in gate voltage which must be applied in order to
create a one decade increase in the output current6 12
S=
dVGS
mV/dec
dlog IDS
ARTICLE
That the tunneling probability, T E is given by:12
√
4 2m∗ Eg3/2
si
T E ∝ −
tox tsi
3eh̄Eg +
ox
(3)
(4)
In Eq. (4), m∗ is the electron effective mass, Eg is band
gap,
is the energy range over which tunneling can take
place, and tox , tsi , ox , si are the oxide and silicon films
thickness and dielectric constants respectively, and h̄ is the
reduced Planck’s constant. The tunneling window (
) in
the tunneling probability is written as follows:12
= EVch − ECS
3. STRUCTURE AND SIMULATION
METHODOLOGY
The electrical performance of DG-TFET was investigated
using Silvaco TCAD Atlas 2D software V5.15.32 R.10
The double gate provides electrostatic control over the
channel in which the drain field line cannot affect or
disturb the source-to-channel barrier and it promisingly
reduces the short channel effects. The DG-TFET, adopted
in the present research work is shown in Figure 1, having
three regions: n-type semiconductor bar forming source
and channel region, and p-type semiconductor by forming
drain region. In between two regions an intrinsic semiconductor layer is sandwich. The quantum mechanical transistor (QMT) has reached such small dimensions for doping
concentration gradients are: 7 5 × 1020 cm−3 , 1010 cm−3
and 5 × 1018 cm−3 for the source, intrinsic, and drain
regions respectively. Doping has been optimized to create the maximum ON-current (ION , while keeping OFFcurrent (IOFF low. In order to have a minimal IOFF , the
Fig. 1. Structure of double gate TFET (DG-TFET).
2
Fig. 2. Atlas resolution algorithm of double gate TFET.
doping of the source is slightly lower compared to that of
the drain.
The flow chart for present research work is shown in
Figure 2.
Fig. 3. Tony plot display using 2D mesh of double gate TFET.
Mater. Focus, 7, 1–7, 2018
Guenifi et al.
Rigorous Study of Double Gate Tunneling Field Effect Transistor Structure Based on Silicon
Table I. Design parameters considered for simulation.
Parameters
Values
Gate length (Lg )
Drain and source lengths (LD , LS
Oxide thicknees (tox )
Channel thicknees (tsi )
Source concentration (Na )
Intrinsic concentration (Nd )
Drain concentration (Nd
Gate voltage (Vg )
Supply voltage (Vdd
50 nm
100 nm
2 nm
10 nm
7 5 × 1020 cm−3
1010 cm−3
5 × 1018 cm−3
1.0 V
0.5 V
Table II. Parameters oxide gate used in simulation.
Oxide gate
Parameters
Bandgap (eV)
Relative dielectrics constant
SiO2
Si3 N4
ZrO2
HfO2
9
3.9
5.3
7.9
5.7–5.8
22
4.5–6
25
Fig. 4. Energy band-diagram (a) at VGS = 0.0 V (OFF-state) for
DG-TFET.
Mater. Focus, 7, 1–7, 2018
4. RESULTS AND DISCUSSION
Using 2-D numerical device simulator, the electrostatic
performance of DG-TFET is analyzed. Figures 4 and 5
show the simulated energy band diagram of DG-TFET,
shown in Figure 1. With the help of the energy band diagram the ON–OFF state conduction phenomenon of the
DG-TFET is explained. As shown in Figures 4 and 5,
when VGS = 0.0 V and VDS = 0.0 V. The device is in OFFstate with very large tunnel barrier width, and therefore
the electrons do not have enough energy to move from the
valance band of the source to the conduction band of the
channel. On application of sufficiently high gate voltage
ARTICLE
The DG-TFET, as shown in Figure 1, consists of p+
source, intrinsic channel and n+ drain. The local tunneling
models were used to calculate tunneling current from the
source to drain with varying gate voltage (VGS .
The I –V characteristics of DG-TFET have been plotted
and investigated by using Newton method to solve numerical system. The choice of the mesh under atlas is a vital
step to have a convergence. Figure 3 shows the tony plot
display using 2D mesh of DG-TFET.
The gate dielectric layer must be sufficiently thin and
therefore, we have taken the oxide thickness tox of 2 nm.
The work function of the metal work function, M used
is 5.2 eV. The drain, source and intrinsic region lengths,
LD , LS and LG are taken as: 100 nm, 100 nm and 50 nm
respectively. The silicon thickness tSi is 10 nm for DGTFET. All the physical parameters use in work is tabulated
in Table I. The electrical parameters of used dielectric
materials is shown in Table II.19–21
Fig. 5.
Energy band-diagram at VGS > 0.0 V (ON-state) for DG-TFET.
Fig. 6.
The electric field behavior analysis of DG-TFET.
3
Rigorous Study of Double Gate Tunneling Field Effect Transistor Structure Based on Silicon
Guenifi et al.
been observed that, the tunnel width decreases and there
is a shift of the conduction band downwards. Thus, the
gradual enhancement of the gate bias degrades the barrier width and causes an increased tunneling of carriers,
indicated in Figure 5. Figures 6 and 7 shows the internal electric filed and surface potential inside the device. In
both (Figs. 6 and 7), there is relative comparison between
ON and OFF-state.
Since, HfO2 is the core material in the gate stack in
high- metal gate devices for technology nodes less than
45 nm,22 23 therefore we have used it in our device simulations. Figure 8 shows the transfer characteristic of DGTFET. As shown in Figures 9((a) linear (b)) semilog plot),
the variation of leakage current (IOFF is almost constant
for all values of VDS .
ARTICLE
Fig. 7. Potential surface for DG-TFET structure for VGS = 0.0 V and
VGS = 1.0 V.
(i.e., VGS = 0.5 V and VDS = 1.0 V), the width of tunneling
barrier is reduced and the device switches to ON-state.
When the device switched from the OFF-state to the
ON-state, an increase in the electric field is observed. It has
Fig. 8. Plot of the transfer characteristic (IDS –VGS , regarding different
gate oxide in Atlas of a DG-TFET device with LG = 50 nm (a) linear
(b) plot Semilog plot.
4
Fig. 9. Device transfer characteristics for double gate N-TFET with a
variation of VDS (a) plot linear (b) plot Semilog.
Mater. Focus, 7, 1–7, 2018
Guenifi et al.
Rigorous Study of Double Gate Tunneling Field Effect Transistor Structure Based on Silicon
Table III. Lists of the computed electrical parameters of the DG-TFET.
Oxide gate
Parameters
ZrO2
HfO2
Si3 N4
SiO2
Vth (V)
0.2
0.2
0.45
0.5
SS
41.59
41.54
43.99
46.89
(mV/decade)
5 26 × 10−5 4 38 × 10−5 5 84 × 10−6 1 118 × 10−6
ION (A/m)
IOFF (A/m)
5 02 × 10−17 4 03 × 10−17 2 52 × 10−17 2 43 × 10−17
ION /IOFF
105 × 10+12 109 × 10+12 2318 × 10+11 461 × 10+10
Fig. 10. Capacitance voltage characteristics showing the gate (Cgg ), gate
to source (Cgs ), and gate to drain (Cgd ) capacitance as function of gate to
source VGS for for DG-TFET extracted at f = 1 MHz.
Mater. Focus, 7, 1–7, 2018
Fig. 11. Gate-to-drain capacitance Cgd as a function of gate to source
voltage VGS for different drain to source voltage VDS for DGTFET
extracted at f = 1 MHz.
Figure 10 shows comparison between available capacitance such as: (Cgd , gate-to-source (Cgs and drain-tosource (Cds . The capacitance voltage (CV) characteristics
showing the gate (Cgg ), gate to source (Cgs ), and gate to
drain (Cgd ) capacitance as function of gate to source VGS
for for DG-TFET. Due to the presence of a source side
tunnel barrier, the gate-to source capacitance (Cgs ) is very
small. It explains that BTBT has negligible influence in
the charge distribution of a DGTFET. While, Cgd (gateto-drain capacitance) reflects the entire gate capacitance
(Cgg ). The Cgd decreases and shifts to the right when, the
drain voltage (VDS increases. This is due to the reduction of the tunnel distance as was observed on the energy
bands, this observation was ensured by the simulation.
Fig. 12. Gate-to-drain capacitance Cgd as a function of drain to source
voltage VDS for different gate to source voltage VGS for DG-TFET
extracted at f = 1 MHz (SiO2 and HfO2 .
5
ARTICLE
It is evident from the results that, the drain current performance is improving with replacement of high- gate
materials instead of using conventional SiO2 . Threshold
voltage (Vth of DG-TFET reduces with high- gate, as
shown in Table III due to improved electrostatic filed
inside tunneling region. This is also a scientific indication
for lower power supply.
The output characteristic is improved with increasing
drain voltage and achieves its optimum value for drain
voltage VDS equal to 1.0 V. The use of high–high-
improves the output characteristics for a low gate voltage
of the order of 0.5 V. An increase in the drain voltage
VDS greatly increased ION current but had no effect on the
threshold voltage.
The various capacitance parameters such as gate-todrain (Cgd , gate-to-source (Cgs and drain-to-source (Cds
have been extracted from AC analysis of the designed
structure. Figures 10 and 11 show the CV analysis results
for DG-TFET. CV analysis of DG-TFET is done at 1 MHz
frequency. It is observed that Cgd increases with increasing
gate voltage, this is due to the reduction of the potential
barrier (as we saw in the energy band diagram, shown in
Fig. 7).
Rigorous Study of Double Gate Tunneling Field Effect Transistor Structure Based on Silicon
Guenifi et al.
improved. The CV characteristics of DG-TFET are also
investigated.
References and Notes
ARTICLE
Fig. 13. Comparison between gate-to-drain capacitance Cgd as a function of drain to source voltage VGS (SiO2 and high- for DG-TFET
extracted at f = 1 MHz.
Figures 12 and 13 show CV characteristics of DG-TFET
for SiO2 and HfO2 (as oxide gate).
In ON-state, changing Oxide Gate gives a smaller Cgd ,
inv when we use SIO2 as oxide gate than high- ‘(HfO2 .
Cgd is significantly reduced in the inversion region (a difference of 3 decades) despite there is not a big difference
in the current (Fig. 8). In order to improve switching speed
of DGTFET, we have to use the both oxide gate (HfO2
and SiO2 . The results are compared with those plotted
in literature A good agreement is observed between both
work.23
5. CONCLUSION
In this paper, we designed and analyzed the n type double
gate tunnel Field Effect Transistor (DG-TFET), to address
the requirements for ULP (Ultra-Low-Power) applications.
The performance of the DG-TFET design in terms of
power, the DG-TFET supports voltage scaling and works
for supply voltage from 0.1 to 1.0 V. In this paper a double
gate TFET (DG-TFET) electrical characteristics is investigated using the 2-D simulation with of standard scientific
computing tool, Silvaco. The device electrical parameters
such as drain current, and threshold voltage, subthreshold
slope (SS), leakage current (IOFF , ION /IOFF ratio have been
obtained Threshold voltage of DG-TFET reduces due to
improved electrostatic filed inside tunneling region. This
is also a scientific indication for lower power supply.
It is evident from, the results that drain current is
improving. Current, ION it value very low close to 10−5
and IOFF close to 10−17 for the SiO2 gate oxide and high-
(HfO2 . The ratio Ion /IOFF is very large, whatever the
nature of the gate oxide, so SS is weak. Whatever the
nature of the chosen oxide, this device gives excellent
ION /IOFF ratio of 1012 for a very.
They have been consistent with other studies having
noble information. The results for SiO2 oxide have been
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