Performance Augmentation, Parameter Modeling and Analysis of
Nano-DG-TFET
YASHU SWAMI
Department of ECE,
Aditya Engineering College (A),
Surampalem 533437,
INDIA
Abstract: - In this manuscript, we propose and analyze the properties of an efficient Nano strained-silicon dual-
halo high-K dielectric stacked multi-material dual-gate TFET device (Nano-DG-TFET). Compact precise
models for this projected Nano TFET are mathematically proposed for the electric field, surface potential, drain
current and threshold voltage. Using gate and channel (G&C) engineering, the models are derived by solving
the 2-D Poisson equation in silicon-graded channel region by applying suitable boundary conditions. The real-
time values of the devices diverge due to various SCEs, second-order effects, and non-idealities present in the
device. Hence, the proposed models incorporate the effects of various device parameters such as channel
potential, electric field, DIBL, threshold voltage roll-off, and drain current. Also, the fringing capacitance
characteristics of the proposed Nano-DG-TFET demonstrate superior performance over Triple Material Double
Gate (TMDG) and Single Material Double Gate (SMDG) TFET structures. The proposed Nano-DG-TFET
incorporates many other efficient device properties like strained silicon (s-Si) channel, halo implantation, high-
K dielectric gate stack, triple material gate terminal, and many more. Therefore, it is evident that the proposed
nanodevice structure provides poor outflow current IOFF (10−16A/μm), and remarkable betterment in ON current
ION (10−6A/μm). The results are demonstrated by extensive 2-D TCAD simulation and confirmed analytically at
various technology nodes to validate the robustness of the model.
Key-Words: - Dual-Gate TFET, Threshold Voltage, Dual-Halo, high-K Dielectric, Fringing capacitance,
Strained Silicon, Short Channel Effects.
Received: May 3, 2024. Revised: November 13, 2024. Accepted: December 3, 2024. Published: December 31, 2024.
1 Introduction
To augment the device performance and suppress
Short Channel Effects (SCE), we need to upgrade
the device structure and properties. An efficient
Nano strained-silicon dual-halo high-K dielectric
stacked multi-material dual-gate TFET device
(Nano-DG-TFET) is proposed with enhanced
properties. To improve the device carrier properties
we use Strained-Silicon (s-Si) material in designing
the device, [1], [2]. This improves the lattice
crystalline quality and conducting properties of the
layer.
Along the Si/SiO2 interface, the lateral electric
field in Nano-DG-TFET generates fixed charges.
Because of the Hot Carrier effects (HCEs), these
fixed charges lead to the degradation of the current
drive capability of the nanodevice, [3], [4].
Furthermore, because of this HCEs, the damaged
interface region extends from drain to source with
fixed charge density. A number of researchers have
investigated the fixed charge degradation in DG
TFETs, further stating that these localized charge
carriers are trapped in the Si/SiO2 interface, [5]. For
enhancement in output characteristics like low
DIBL, higher drive currents, and flatter saturation
level, we can use halo implantation in our device.
This also improves the breakdown voltages of
TFET. The proposed Nano-DG-TFET shows a
significant reduction in SCE. We observe the
decline in threshold voltage (VTH) value with falling
channel length (L) and increasing drain voltage
(VDS). This contrary SCE VTH roll-off effect is the
barricade to the upcoming TFET technologies.
In this manuscript, we also demonstrate the
influence of using multiple gate materials in the
enhancement of proposed DG TFET electrical
parameters like surface potential, the electric field
drain current (ID). The work function of the drain-
side gate material (M3) is lower than the source-side
gate material (M1). Using this multi-gate material
technology, the VTH performance is also enhanced
by the Nano-DG-TFET structure, [6], [7].
Therefore, in the source-side gate region (tunneling
gate), we obtain step-equivalent profile potential.
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The tunneling gate region (auxiliary gate) is
partitioned from VDS beyond saturation because the
auxiliary gate ingests additional VDS, limiting the
SCEs. In the tunneling area, we used germanium as
the source material and intrinsic silicon as the
channel material, making a hetero-junction.
Furthermore, G&C engineering is also used in our
proposed Nano-DG-TFET to lower both SCEs and
HCEs, [8].
Fig. 1: 2-D sketch of the proposed nanodevice
structure (Nano-DG-TFET)
Many researchers have already described
numerous analytical approaches for obtaining VTH
features of SOI and DG-TFETs, [9], [10]. The
analytical model of s-Si on Silicon-Germanium-on-
Insulator TFET, VTH and roll-off approach is
developed in [10]. Furthermore, the parameters of
effective gate oxide and channel were carefully
chosen to improve VTH and roll-off. Few research
works have developed a 2-D analytical modeling of
ambipolar characteristics for asymmetric TFETs,
how different front-gate and back-gate biases affect
the position of the charge centroid and anticipated
the range and straggle parameter to optimize VTH
and roll-off characteristics. However, no work has
shown the analytic modeling of VTH and effective
oxide thickness (tOX) of dual-halo high-K dielectric
stacked Triple-Material DG-TFET with SCEs. With
the development of substrate bias, a significant
quantity of body impact coefficient causes large
variation in VTH, adding complexity to the circuit
design. Double halo doping has been used as a sort
of G&C engineering to manage these outcomes. A
compact model is proposed for fully depleted nano-
scale dual-halo high-K dielectric stacked Triple-
Material DG-TFET. The model formulation has
been mathematically proposed for the electric field,
surface potential, ID and VTH. The proposed
mathematical models incorporate the device
properties like fixed charge density at HfO2/SiO2
stacked oxide interface, tOX and numerous device
parameters applied to 2-D Poisson equation. Hence,
the projected models are in accord with the obtained
TCAD simulation results.
2 Device Structure and Modeling
Figure 1 shows a 2-D sketch of the proposed
nanodevice structure. The acronyms L, tsi, ΦM, NAh,
and tOX denote channel length, silicon channel
thickness, work functions of triple metal gate
materials, halo doping concentration, and silicon tOX,
respectively. The Source and Drain are uniformly
halo doped with NS and ND concentrations
individually. The gate work function parameters for
M1, M2, and M3 are shown in Table 1. M2 work
function is kept higher than others to attain a high
ION to IOFF ratio.
The gate bias voltage (VGS) controls the operation
of the proposed Nano-DG-TFET. The ON state of
an n-type DG-TFET is determined by increasing the
positive VGS, which lowers the energy barrier
between the germanium source and the intrinsic
region. That is, the intrinsic energy bands are
pushed down, and electrons tunnel from the valence
band of the p+ doped germanium source to the
conduction band in the intrinsic silicon body, a
process known as Band-To-Band Tunneling
(BTBT). Drift-Diffusion then transports the
electrons to the n+ doped drain region.
Table 1. TCAD Device Simulation Parameters
Channel Length, (L)
50nm
Source Doping, NS(p-type)
1 × 1020 cm−3
Drain Doping, ND(n-type)
5 × 1018 cm−3
Halo Doping concentration (NAh)
1.2 × 1018 cm−3
Channel thickness (tsi)
10 nm
Metal M1 Work function (ϕM1)
4.2 eV
Metal M2 Work function (ϕM2)
4.6 eV
Metal M3 Work function (ϕM3)
4.0 eV
Effective oxide thickness (tox)
1 nm
Exterior Fringing Field Capacitance,C11
0.63 fF
Direct overlap Capacitance,C22
3.23 fF
Internal Fringing Field Capacitance,C33
1.06 fF
Channel Width capacitance, WC
18.07 fF
Body effect Coefficient, γ
0.58 V1/2
The suggested device will have improved
control over the vertical field because of the
gate work function engineering and high-K
dielectric Hafnium Oxide (HfO2) used as the
gate dielectric in the stack. This reduces the
infiltration of hot careers through the interface
and increases the TFET performance.
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Fig. 2: Energy Band Diagram of proposed
Nano-DG-TFET
The ON-OFF state career concentration profiles
of the proposed Nano-DG-TFET are shown in
Figure 2. It clearly illustrates that because the S-C
has a narrow bandgap, the tunneling width (λ) of the
careers traveling from S-C is small. As a result, the
tunneling rate of the careers moving through S-C is
boosted, improving the device ON current (ION). The
use of HfO2/SiO2 as gate oxide for TFET devices
has been reported to enhance ION. Although high-K
gate dielectrics provide improved device properties,
they also cause faults in the dielectric/silicon
interface when fabricated on top of the silicon
surface.
3 Formulation of the Model
Compact precise analytical models of the device
properties for the projected Nano-DG-TFET are
mathematically derived and proposed in this section.
The logical equations for surface potential, electric
field, ID and VTH, all have been discussed. Applying
G&C engineering, the models have been formulated
using 2-D Poisson equation. Short-channel effects
are also reinforced. As a result, an authentic model
of the proposed Nano-DG-TFET is developed.
3.1 Nano-DG-TFET Surface Potential and
Electric Field Model
In the channel region, the surface potential, using
the 2-D Poisson equation, can be expressed as:
󰇛󰇜
󰇛󰇜


 (1)
We neglected the influence of mobile charge
carriers on the electrostatics of the channel. In eq
(1), electrostatic potential difference (Φi (x,y)),
electron charge (q), electrical permittivity of silicon
(
si) are used. Navgeff is the average doping
concentration for a uniform doping concentration
profile.
The Poisson equation can be solved using the
parabolic approximation technique, and the result is
as follows:
󰇛󰇜󰇛󰇜󰇛󰇜󰇛󰇜
 (2)
Ci0(x), Ci1(x), and Ci2(x) are arbitrary x functions
that can be resolved using the frontier conditions.
The border conditions are required to solve this
equation. The frontier conditions for frontal and
backward semiconductor oxide interfaces are as
follows:
󰇛󰇜
 󰇣󰇛󰇜󰇤
 (3)
󰇛󰇜
  󰇣󰇛󰇜󰇤
 (4)
Where tSi denotes channel thickness and Vfbi
denotes the flat-band potential drops of 1,2,3,4 and
5 regions. It can be represented as:



 (5)
ΨF, χsi, Q0 and Egsi are the Fermi potential drop,
electron affinity, effective surface charge, and
silicon energy band gap.
Surface potential interface for different regions can
be calculated as follows:
For region 1 - region 2 interface:
󰇛󰇜󰇛󰇜 (6)
 
  (7)
For region 2 - region 3 interface:
󰇛󰇜󰇛󰇜 (8)
 
  (9)
For region 3 - region 4 interface:
󰇛󰇜󰇛󰇜 (10)
 
  (11)
For region 4 - region 5 interface:
󰇛󰇜󰇛
󰇜 (12)
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 
  (13)
Surface potential interfaces at the S-C and D-C can
be calculated as:
󰇛󰇜  (14)
󰇛󰇜
󰆒
󰆒
󰆒
(15)
The built-in potential (Vbi) is represented as:
 
(16)
Halo doping concentration around the S-C and D-C
regions is symbolized by NDS and NAh respectively.
Using y = 0 in (2), we get:
󰇛󰇜󰇛󰇜󰇛󰇜 (17)
Using the derivative of (2) in (3) and (4), we get:
󰇛󰇜󰇣󰇛󰇜󰇤
 (18)
󰇛󰇜󰇣󰇛󰇜󰇤
 (19)
Substituting (17), (18) and (19) in surface potential
base equation (2), we get
󰇛󰇜󰇛󰇜󰇣󰇛󰇜󰇤

󰇣󰇛󰇜󰇤
 (20)
The characteristic length (λ) of the device is also
considered in modeling surface potential as it helps
in extracting the amount of electric field inflowing
through the drain region. It also assists in modeling
the SCE influence on the proposed nanodevice
characteristics. As a result, we will be able to
develop a robust model.
Using the Poisson equation, a better
characteristic length value appears at the
intermediate channel region.

󰇧
󰇨
 (21)
Hence, the channel potential in the intermediate
region can be expressed as:
󰇛󰇜󰇛󰇜
(22)
Using (18) – (20), we simplify (22) as:
󰇛󰇜󰇛󰇜

 (23)
The roc represents the gate oxide to channel
capacitance ratio represented as 

Solving (1) for the intermediate channel, we get:
󰇛󰇜
󰇛󰇜

 󰇧󰇡󰇢
󰇨 (24)
Simplifying (24), we can frame it as:
󰇛󰇜
(25)

 󰇧󰇡󰇢
󰇨 (26)
and
(27)
Using (3) (15) along with the frontier
equation, the Mi and Ni can be mathematically
extracted. Appendix 1 lists the expression of Mi and
Ni for i =1,2,3,4,5.
Now the surface potential can be precisely
modeled using (20), (23), (25) along with Appendix
1. It may be formulated as:
󰇛󰇜󰇯

󰇡󰇢
󰇧
󰇨󰇰󰇧


 󰇨

 
 (28)
Simplifying (28), the compact model for surface
potential can be expressed as:
󰇛󰇜󰇯

󰇡󰇢
󰇧
󰇨󰇰 (29)
The electric field pattern along the channel
determines the electron transit speed. It's calculated
by differentiating the channel potential. The lateral
and vertical electric fields can be calculated as
follows:
󰇛󰇜󰇛󰇜
 
󰇣
󰇤 (30)
󰇛󰇜󰇛󰇜
 󰇟󰇛󰇜󰇛󰇜󰇠 (31)
3.2 Nano-DG-TFET VTH Model
VTH is the voltage applied to the gate in region-1
where the energy barrier begins to saturate. For area
2, the derivative of (29) is equal to zero. As a result,
xmin defined as the minimum surface potential is
shown as:
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
(32)
Using (32) in (29), the xmin can be simplified as:

 (33)
The VTH condition is described as follows:
 (34)
and
 (35)
The VTH condition has been determined using (33–
35):

 (36)
For VGS = VTH, the M2th = M2 and N2th = N2; The VTH
can be derived using (36).


(37)
The coefficients used in (37) are described as below.
(38)
󰇛󰇜 (39)

󰇛
󰇜 (40)
In Appendix 2, the formulas for VTHL and K1
K8 are simplified.
The analytical solution for VTH can be expressed
as: 
 (41)
The difference between the VTH short channel -
long channel TFET is numerically characterized as
the VTH roll-off.
It can be formulated as follows:
 (42)
The long channel VTH is VTHL, and it is assumed
to be independent of L. In Appendix 2, has been
used to express it.
The rate of transition from VTH to VDS has also
been defined as the DIBL. It can be formulated as:

 (43)
Fig. 3: Doping Concentration along the channel
from Source to Drain region
3.3 Nano-DG-TFET ID Model
The components of the lateral and vertical electric
fields are used to compute the tunneling generation
rate analytically. [10], was used to determine the
tunneling generation rate.
 

(44)
We can represent the electric field intensity (E)
as:

 (45)
using average electric field (E), energy bandgap
(Eg). The two parameters for tunneling: AKane =
4x1014 V-5/2 S-1 cm-1/2, BKane= 1.9x107 V/cm are
dependent on career effective mass in different
energy bands.
 (46)
Figure 3 shows the doping Concentration along
the channel from source to drain region. It is
presented as:
󰇛󰇜󰇱
󰇛󰇜
󰇛󰇜 (47)
The average effective doping concentration can be
stated as:
 󰇛󰇜
(48)
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Fig. 4: Representation of the Fringing Capacitance
Components C11, C22 and C33
The fringing potential has been investigated due
to the internal fringing capacitance in order to
improve channel potential efficiency. Figure 4
depicts the Fringing Capacitance Components C11,
C22 and C33. C11 is the external fringing field
capacitance between the S-C and the D-C electrode
on all sides of the frontal and backward gates. The
face-to-face overlap capacitance between the S-C
junction and the D-C junction is represented by C22.
The internal fringing capacitance between the S-C
junction and the D-C junction is represented by C33.
In Ref., the bias expressions based on C11, C22, and
C33 are modelled. θS and Cif are the gate electrode
slanting angle in radians, and maximum internal
fringing capacitance value respectively. The
following referred capacitances has been modeled as
below:

󰇡
 󰇢 (49)

 󰇣
󰇡

󰇢󰇤 (50)
 
󰇡
 󰇢 (51)
In (49)-(51), we use the following: gate
electrode thickness (tgate), channel width (Wc), and
source/drain junction depth (Xi), and δ = 0.5П (ƐSiO2/
ƐSi).
Due to internal fringing capacitance, at S-C and
D-C the net total charge generated on each gate side
is calculated as:
  
󰇭
󰇮 (52)
 
󰇭
󰇮


and 
 (53)
where Vfb , ΨF , ni, γ, VT are the flat-band
voltage , Fermi potential, the intrinsic carrier
concentration, Body effect Coefficient, and thermal
voltage respectively.
The COX, VDS,eff , VFS and VFD are oxide
capacitance, the effective drain-to-source voltage,
and fringing potentials at S-C and D-C ends
respectively.
4 Results and Discussions
The TCAD simulation outcomes produced are
analyzed along with the theoretical results of the VTH
and ID in this section. The drift-diffusion model
predicts V-I characteristics, while the high-field
saturation model considers velocity saturation, the
SRH recombination model accounts for
recombination effects, the mobility model predicts
mobility effects and the Slotboom model accounts
for energy bandgap narrowing effects. Table 1 lists
the TCAD device simulation parameters.
Fig. 5: Variation in surface potential w.r.t channel
length (L) of proposed Nano-DG-TFET for VGS =
0.1V, 0.5V, VDS = 0.4V, 1.5V
The channel thickness, tsi has been assumed to be
10 nm in this investigation. For tsi greater than 5 nm,
Quantum Mechanical Effects (QMEs) become
unnoticeable. As a result, the suggested model
avoids QME. Figure 5 shows the change in surface
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potential along the channel length (L). It is self-
evident that as VGS rises, the channel potential rises
as well. As a result, the S-C potential barrier
diminishes, increasing the ID as more carriers enter
the channel from the source. Furthermore, because
the S-C potential barrier is reduced as the strain in
the channel grows, the ID increases.
Fig. 6 (a) and (b): Lateral Electrical Field
distribution (Ex) and Vertical Electric Field
distribution (Ey) in the proposed Nano-DG-TFET
channel for VGS = 0.1V and VDG = 0.5V
Figures 6 (a) and (b) show the differences in
lateral and vertical electric fields (Ex and Ey) on the
channel near the silicon body and the oxide interface
surrounding the S-C region to D-C region
respectively. Because of the voltage difference
between the D-C and S-C region, the lateral electric
field is created. The pinnacle electric decrement is
rather minimal in the D-C region.
With VGS = 0.1V, VDS = 0.5V, for lateral position
along the channel, the alteration in the electric field
for proposed Nano-DG-TFET, SMDG-TFET, and
TMDG-TFET is shown in Figure 7.
Fig. 7: With VGS = 0.1V, VDS = 0.5V, for lateral
position along the channel, the alteration in the
electric field for proposed Nano-DG-TFET, SMDG-
TFET, TMDG-TFET
Because of the position movement of the
minimum channel potential towards the drain side,
the increase in the gate length ratio of control/screen
improves drain control over the channel. However,
as the gate length ratio of control/screen increases,
the S-C built-in potential increases (larger VTH),
reducing leakage current. Taking the spatial
derivative of the channel potential yielded the
electric field. The electric field vertex at the drain
side of the proposed Nano-DG-TFET structure is
(0.220 V/cm), which is 19.47 times reduced w.r.t
(3.265 V/cm) SMDG-TFET structure and 9.52 times
reduced w.r.t TMDG-TFET structure (1.98 V/cm).
As a result, the G&C engineering in our proposed
device reduces the SCE and HCE.
Fig. 8: Variation in VTH with respect to L for distinct
substrate doping concentrations. (NAh=1.2x1018cm-3,
NA=1x1016cm-3 and 1x1018cm-3 with VGS = 0.1V and
VDS = 0.5V)
Figure 8 depicts the variation in VTH with respect
to L for distinct substrate doping concentrations,
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(NAh=1.2x1018cm-3, NA=1x1016cm-3 and 1x1018cm-3
with VGS = 0.1V and VDS = 0.5V). The S-C built-in
potential is evidently enhanced by lowering the tox
and silicon thickness, allowing the gate to exert
greater influence over the channel than the drain,
lowering the SCEs.
Fig. 9: VTH roll-off vs. L, comparison plot for the
proposed Nano-DG-TFET, SMDG-TFET, TMDG-
TFET with VGS = 0.1V, VDS = 0.05V
Figure 9 shows the VTH roll-off for the
considered TFET devices for comparison. For L
below 10 nm, the roll-off for the Nano-DG-TFET
structure is lower than SMDG-TFET and TMDG-
TFET structures. Hence this SCE is lowest for the
proposed Nano-DG-TFET. Figure 10 shows the VTH
roll-off divergence for two drain biases for the
proposed device. The graph shows that a larger
drain bias causes a greater SCE and a higher VTH
roll-off value.
Fig. 10: VTH roll-off vs. L of the proposed Nano-DG-
TFET for VDS = 0.05V and 1.2 V
For various thicknesses of gate stacked dielectric
materials, Figure 11 depicts the variation of VTH
with tOX. The site of the minimum channel potential
is shown to vary with fixed charges and halo length.
Fig. 11: Model variation off VTH vs. tox of proposed
Nano-DG-TFET
The DIBL effect of the proposed Nano-DG-
TFET is smaller than the other compared TFET
device structures, as shown in Figure 12. The plot
reveals that the DIBL grows slightly as the tOX
increases. At 50 nm technology node, when the tOX
is augmented by the phase of 0.5 nm, the DIBL
increases by around 50 mV/V. The simulation
outcomes and the proposed model accord nicely.
Fig. 12: Comparison plot of DIBL vs. L for the
proposed Nano-DG-TFET, SMDG-TFET, TMDG-
TFET, (VGS = 0.1V, VDS = 0.5V)
Figure 13(a) shows the Voltage Transfer
Characteristics (VTC) of the proposed Nano-DG-
TFET with a fixed thickness of 3 nm. The rise in ID
is caused by the increase in high-K HfO2 thickness,
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as shown in the graph. The variations of the VDS vs.
ID for different VGS are shown in Figure 13 (b). We
can observe that the upsurge in ID with VGS is due to
the decrease in the S-C barrier distance.
Fig. 13: (a) VTC of the proposed Nano-DG-TFET
for different dielectrics at VDS = 1V. (b) Output
characteristics of the proposed device for different
gate bias values
Figure 14 shows the calibration of the proposed
Nano-DG-TFET, VTC comparison of Experimental
results vs. TCAD simulation.
The ambipolar characteristic of the proposed
Nano-DG-TFET is analyzed along with the other
compared TFET device structures in Figure 15. The
plot represents the device characteristics, and how
effective the device is at restraining ambipolarity. In
comparison to SM and TM equivalent structures, the
device considered displays increased ION and
minimal ambipolar conduction by choosing the
correct materials for S-C gate sides and D-C gate
sides. The accuracy of our ID model is confirmed by
the excellent match of our formulated model with
TCAD outcomes.
Fig. 14: VTC comparison of Experimental results
vs. TCAD simulation
Fig. 15: Ambipolar characteristics comparison for
the proposed Nano-DG-TFET, SMDG-TFET,
TMDG-TFET, (VDS = 0.5V)
5 Conclusion
Analytically, we derived and analyzed the properties
of an efficient Nano strained-silicon dual-halo high-
K dielectric stacked multi-material dual-gate TFET
device (Nano-DG-TFET). Compact precise models
for this proposed Nano-DG-TFET are
mathematically formulated for the electric field,
surface potential, drain current and Threshold
Voltage. Using G&C engineering, the models are
formulated by solving the 2-D Poisson equation in
the s-Si graded channel region applying suitable
boundary conditions. The tOX is used in the
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formulation of the VTH model. The impacts of
numerous device settings on DIBL and ID have been
thoroughly investigated. Up surging the strain and
positive surface charge density, an increase in the
electric field current and roll-off have been seen,
and vice versa. Furthermore, combining the dual-
halo technology with G&C engineering in TMDG-
TFETs increases the ID and ambipolar properties. By
matching TCAD outcomes, the suggested model has
been validated. The suggested device model and
simulated findings demonstrate that the leakage
current is reduced by itself to the range of 10-
16A/µm to 10-14A/µm. Hence, the ION is improved
(10-6A/µm). The formulated mathematical model
and simulation data are in good agreement. The
effective surface charge and fringing capacitance are
taken into account for accurate simulation. It has
been established that the proposed Nano-DG-TFET
is the confirmed upcoming device of ultra-low
power VLSI and high-frequency applications.
References:
[1] Vimala, P., TS Arun Samuel, D. Nirmal, and
Ajit Kumar Panda. "Performance
enhancement of triple material double gate
TFET with heterojunction and
heterodielectric." Solid State Electronics
Letters, 1, no. 2 (2019): 64-72.
[2] David Cavalheiro, Francesc Moll,
StanimirValtchev. TFET-Based Power
Management Circuit for RF Energy
Harvesting. IEEE Journal of the Electron
Devices Society, Jan. 2017;5(1):7–17.
[3] Santhosh Kumar Gupta, Satyaveer Kumar,
Analytical Modeling of a Triple Material
Double Gate TFET with Hetero–Dielectric
Gate stack, Silicon, Springer Nature; July
2018.
[4] Swami, Yashu, and Sanjeev Rai.
"Comprehending and Analyzing the Quasi-
Ballistic Transport in Ultra Slim Nano-
MOSFET through Conventional Scattering
Model", Journal of Nanoelectronics and
Optoelectronics, 14, no. 1 (2019): 80-91.
[5] Venkatesh, M., and N. B. Balamurugan.
"Influence of threshold voltage performance
analysis on dual halo gate stacked triple
material dual gate TFET for ultra-low power
applications", Silicon, 13, no. 1 (2021): 275-
287.
[6] SwetaChander, Baishya S (2015) A Two-
dimensional Gate Threshold Voltage Model,
for a HeteroJunction SOI-Tunnel FET with
Oxide/Source Overlap. IEEE Electron Device
Letters, Vol. 36, Issue: 7, July 2015.
[7] Semiconductor Industry Association.
"Emerging Research Devices", Chapter of
"International Technology Roadmap for
Semiconductors 2.0", 2015 Edition annual
report, published Jun. 05, 2015, [Online],
https://www.semiconductors.org/wp-
content/uploads/2018/06/6_2015-ITRS-2.0-
Beyond-CMOS.pdf (Accessed Date February
27, 2024).
[8] Sarkar A, De S, Sarkar CK (2013)
Asymmetric halo and single halo dual-
material gate and double halo double material
gate n-MOSFETs characteristic parameter
modeling. Int J. Numer Model, 26:41–55.
[9] Razavi P, Orouji AA (2008) Nanoscale triple
material double gate (TM-DG) MOSFET for
improving short channel effects. International
Conference on Advances in Electronics and
Microelectronics, pp 11–14.
[10] Kane EO (1961) Theory of tunneling. J. Appl
Phys., 32(1):83–91.
Contribution of Individual Authors to the
Creation of a Scientific Article (Ghostwriting
Policy)
Yashu Swami performed the Parameter Modeling
process and Analysis for the performance
augmentation of the proposed Nano-DG-TFET.
Sources of Funding for Research Presented in a
Scientific Article or Scientific Article Itself
No funding was received for conducting this study.
Conflict of Interest
The authors have no conflicts of interest to declare.
Creative Commons Attribution License 4.0
(Attribution 4.0 International, CC BY 4.0)
This article is published under the terms of the
Creative Commons Attribution License 4.0
https://creativecommons.org/licenses/by/4.0/deed.en
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APPENDIX
Appendix 1
Appendix-1 lists the expanded expression of Mi and Ni for i =1,2,3,4,5.
󰇛󰇜 
󰇡 
󰇢󰇡
󰇢󰇝󰇛󰇜󰇞
󰇡
󰇢󰇝󰇛󰇜󰇞󰇡
󰇢󰇝󰇛󰇜󰇞󰇡
󰇢󰇝󰇛󰇜󰇞
󰇡
󰇢
󰇡
󰇢󰇡
󰇢󰇛󰇜
󰇡
󰇢󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜
󰇡
󰇢󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜

󰆒

󰇡
󰇢
󰇡
󰇢󰇡
󰇢󰇛󰇜
󰇡
󰇢󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜
󰇡
󰇢󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜󰇡
󰇢󰇛󰇜
Appendix 2
Appendix-2 lists the expanded expression of VTHL and K1-K8.



󰇛󰇜 
󰇛󰇜
󰆓
󰇝󰇛󰇜󰇞
󰆓
󰇛󰇜
󰇥
󰇛󰇜󰇦


󰇛󰇜󰇩

󰇛󰇜

󰇛󰇜󰇪



󰇝󰇛󰇜󰇞
󰇛󰇜
󰇛󰇜
󰇥
󰇛󰇜󰇦

󰇝󰇛󰇜󰇞
󰇛󰇜
 

󰇛󰇜󰇛󰇜󰇝󰇛󰇜󰇞
󰇛󰇜󰇝󰇛󰇜󰇞󰇛󰇜󰇝󰇛󰇜󰇞󰇛󰇜󰇛󰇜
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