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International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
DOI : 10.5121/vlsic.2015.6304 41
SCHOTTKY TUNNELING SOURCE IMPACT
IONIZATION MOSFET (STS-IMOS) WITH
ENHANCED DEVICE PERFORMANCE
Sangeeta Singh1
, Student Member, IEEE, P.N. Kondekar1
, Member, IEEE
1
Nanoelectronics and VLSI Lab.,
Indian Institute of Information Technology, Design and Manufacturing (IIITDM),
Jabalpur - 482005, India
ABSTRACT
In this paper, we propose and investigate a schottky tunneling source impact ionization MOSFET (STS-
IMOS) with enhanced device performance. STS-IMOS has silicide (NiSi) source to lower the breakdown
voltage of conventional impact ionization MOS (IMOS). There is cumulative effect of both impact
ionization and source induced tunneling for the current gating mechanism of the device. The silicide source
offers immensely low parasitic resistance subsequently there is an increment in voltage drop across
intrinsic region. This leads to appreciable lowering of breakdown and threshold voltage for STS-IMOS.
Hence, it demonstrates enhanced device performance over conventional IMOS. Besides this for STS-IMOS
the location of maximum electric field has shifted towards the source and now it is quite away from gate
oxide. Hence, it shows high immunity against Vth fluctuations due to hot electron damage. Consequently, it
is found that device reliability is also improved significantly.
KEYWORDS
Impact Ionization, Barrier Tunneling, Subthreshold Slope (SS), Schottky-Contacts
1. INTRODUCTION
In recent research, to overcome the “Boltzmann tyranny” and to realize “green transistors” with
super steep subthreshold swing (SS) various charge based beyond CMOS non-conventional MOS
devices have been proposed based on alternative charge injection mechanism. Among them
IMOS [1]-[3] has evolved as a potential candidate having subthreshold slope (SS) as low as
5mV/dec significantly high ION/IOF F ratio (approximately 107
- 108
). IMOS has no channel
potential barrier, it uses the potential difference between the source and the channel to determine
whether breakdown occurs or not. As the carriers of I-MOS devices are injected by avalanche
breakdown mechanism instead of thermal injection, the subthreshold swing can be reduced even
below its theoretical limit (60 mV/dec) at room temperature. Structurally, IMOS [4], [5] is a
gated p-i-n device with gate semi overlapped over the intrinsic region that operates in reverse-
bias regime. The conduction mechanism of IMOS is entirely different from the thermally injected
drift-diffusion mechanism based conventional MOS. The conduction mechanism in IMOS is
governed by the avalanche impact ionization phenomenon [6], [7]. IMOS exhibits super steep
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
42
sub-threshold behavior due to the inherent properties of impact ionization mechanism. As impact
ionization has enormously high gain and carriers generated due to impact ionization can be easily
removed due to drift in high electric field region. Hence, it can be concluded that IMOS uses the
gate controlled modulation of the breakdown voltage to switch from ON state to OFF state and
vice-versa. Further as impact ionization mechanism for charge injection in IMOS requires high
electric field it results in high breakdown voltage (VBr). It has high parasitic resistance of source
region hence IMOS has high breakdown voltage and threshold voltage. To address this problem,
a schottky tunneling source impact ionization MOSFET (STS-IMOS) with silicide source is
proposed and investigated here. The fabrication process of STS-IMOS is compatible with the
CMOS fabrication process flow. There is cumulative effect of impact ionization and source
induced barrier tunneling. Simulation results demonstrate lower value of both threshold and
breakdown voltages, enhanced ION/IOF F ratio and steep subthreshold swing (SS) for STS-IMOS.
This paper is organized as follows: Section II addresses, device structure and the simulation
methodology for studying the device performance parameters. Section III shows the analytical
framework for the proposed device followed by Section IV covers simulation results. Finally,
Section V draws important conclusions from the simulation study carried out.
Figure 1. Schematic cross-sectional view of STS-IMOS.
2. DEVICE STRUCTURE AND SIMULATION PARAMETERS
Schematic cross-sectional view of STS-IMOS is shown in Fig. 1. Silicon film thickness (TSi) is
15nm, thickness of gate oxide (Tox) is 3 nm, total channel length (Lch) is 200 nm, gate length (LG)
is 120 nm and intrinsic region length (Lin) is 80 nm. For IMOS source doping (NA) and drain
doping (ND) for both transistors are taken to be 1019
cm −3
. STS-IMOS is having NiSi source as
suggested in [8] - [9] with schottky barrier height φB as 0.6 eV. To model the source induced
tunneling effect in STS-IMOS non-local tunneling model is incorporated with a non-local
distance of 2 nm in Synopsys. STS-IMOS operating principle is based on the impact ionization
and source induced tunneling as shown in Fig. 2. Under a high applied VSD with low gate bias VGD
there is no inversion in the region under gate, hence the effective channel length is the length of
the entire intrinsic region. With increment in VGD there will be formation of inversion layer under
the gate hence effective channel length is now reduced to i-region without the gate and electric
field is intensified across this region, resulting in larger fraction of VSD drop across it and this
initiates avalanche multiplication. Now, in STS-IMOS large VGD is applied modulates the
effective φB and tunneling distance as well. Hence, there tunneling of electrons from source to
drain, consequently there will current amplification. In order to optimize the device performance
the parasitic resistances of source and the drain must be as small as possible and the effective
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
43
voltage drop across the intrinsic channel region must be large to initiate the avalanche
multiplication and tunneling simultaneously.
3. MODELING OF STS-IMOS
The net current through STS-IMOS has three components, impact ionization current (Iii) due to
high electric field, tunneling current (ITun) and thermionic current (ITherm) due to silicide source.
As impact ionization current and tunneling current will be major components, hence thermionic
emission current is neglected.
Tun Tunii Therm iiI = I + I + I I + Ieff ≈ (1)
3.1. Source induced tunneling Current Component (ITun)
To quantify the tunneling current IT un in STS-IMOS, the tunnel current barrier is characterized by
the transmission function T(E) using (WKB) approximation as
3
2( ) exp{ ( ) }B ET E A φ −= − (2)
Where, A denotes the Richardson constant given by
4 2 *
3 elect
m
q E
A=
h
Now, the tunneling current can be modeled by solving
3
2
1
1 exp{ }
4 ( ). .[1 ( )].
4 exp{ ( ) }.
[1 ].
m B
B
B
B GTun
B
B GTun
m sTun qV
qV
E
E k T
eI T E f f E dE
h
e A
h
dE
φ
φ
φ
φ
φ φ
−
−
−
+
= −
= −
−
∫
∫ (3)
Using Boltzamann’s approximations and expanding the terms by using Taylor series and
considering only upto 2nd
order terms we get,
2
1 2
4
[ ]mTun GTun GTun
e
I V V
h
φ ξ ξ= − (4)
3/2 2 3
1
1
2 ( )B B
B
A
q
k T
φ φ
ξ
+ +
= ;
3/2 2 3
2
2
1
( )B B
B
A
q
k T
φ φ
ξ
+ +
=
where, VGT un is the effective gate threshold bias appearing in the intrinsic region to initiate the
tunneling mechanism and it is linearly dependent on the applied gate bias VGD.
3.2. Impact Ionization Current (Iii)
The ionization current is the major current component because of high electric field in the
intrinsic region of STS-IMOS. In order to quantify the current contribution due impact ionization
process in STS-IMOS we have followed the compact modeling technique developed by Mayer
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
44
[10] for IMOS. Iii in STS-IMOS can be modeled by using the initial the electric field in the
structure, depending on the applied bias and the device geometry is calculated. This calculated
electric field in the region of impact ionization is then incorporated in the ionization integral, M.
The two dimensional Poisson’s equation in area-I is
2 2
2 2
1 1
( , ) ( , )
;0 ;0i
G Si
Si
x y x y qN
x L y T
x y
ψ ψ
ε
∂ ∂
+ = ≤ ≤ ≤ ≤
∂ ∂
(5)
Figure 2. STS-IMOS conduction mechanism
Solution for ψ1(x) can be obtained by considering the parabolic potential function approximation
and imposing following boundary conditions
0,11
0
( )( , )
[ ][ ]| msGox
y
oxSi
V xx y
x T
ψ ψψ ε
ε=
− +∆∂
= −
∂
(6)
1( , )
0| Siy T
x y
x
ψ
=
∂
=
∂
(7)
General solution for the above differential equation will be of the form
'
1
( ) exp( ) ''exp( ) { }x A x A xψ γ γ
γ
ℑ= + − − (8)
Where,
( )[ ][ ]; [ ]msox i ox G
ox oxSi Si Si Si Si
VqN
T T T T
ψε ε
ε ε ε
γ +∆
−ℑ== (9)
Similarly potential function and electric field in region-II can be given by,
2
2 2( ) ; ( )[ ] [ ]i i
Si Si
qN qN
x x E xx xψ θ φ
ε ε
θ= + + = − − (10)
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
45
where, A’
, A’’
, θ and ϕ are constants whose values can be obtained by imposing the following
boundary conditions
1 2 1 2(0) ; ( ) ; ( ) ( )D G in S bi G GV L L V V L Lψ ψ ψ ψ= + = + = (11)
1 2( ) ( )
| |G Gx L x L
x x
x x
ψ ψ
= =
∂ ∂
=
∂ ∂
(12)
Using above mentioned boundary conditions
1
1
[ ] GV
η
θ τ
χ
= + (13)
Where,
1
3
2 2
exp( ) exp( )
2
.exp( ) 2
2(exp( ) exp( )) 3 1
[( ).(
) ( )
]
G G G
G
in inG G
G G
L L L
L
L L L L
L L
η γ γ
γ
γ
γ γ γ
γ
γ
= + −
− − −
+ + − + −
+ (14)
1 exp(2 )[ ]in GL Lγ γχ = + (15)
1
1
exp(2 )
2 .exp( ) exp( )
1 3
( )
] [ ]
.
( ).
( )
[
]ms
s bi
in G
i
D G G
Si
V
L L
qN
V L L
V γ
γ γ
γ γ
ε
η
γ
τ
φ
+
+
− + −
+
=
−
+∆
(16)
Further impact ionization integral M can be used to get Iii expressions.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
46
Figure 3. Energy band diagram of STS-IMOS in (a) OFF state, i.e., (VGD = 0 V, VSD < 0 V) (b) ON state,
i.e., (VGD > 0 V, VSD < 0 V) along device length with cut-line X – X’.
4. SIMULATION RESULTS AND DISCUSSION
Fig. 3(a) depicts energy band diagram along the device length with horizontal cut-line (X-X’) at
the center of the silicon film for STS-IMOS and conventional IMOS, in OFF state, there is no
formation of inversion layer under the gate. Hence, effective channel length is entire i-region.
Thus the electric field strength in intrinsic region is not enough to initiate the impact ionization
process. This OFF state current is significantly small. A positive gate voltage turns the device ON
by creating inversion layer under the gate and now effective channel length is reduced and
electric field is intensified under the intrinsic region without the gate. It initiates impact ionization
process. ON state energy band diagram along the device length with cut-line (X-X’) at the center
of the silicon for both devices is shown in Fig. 3 (b). Fig. 4 (a) and (b) exhibit the transfer
characteristics (ID−VGD) and breakdown characteristics (ID−VSD) of STS-IMOS and IMOS
respectively. TCAD simulations show the threshold voltage of STS-IMOS VGT as 0.25 V and for
conventional IMOS it is reported as 0.53 V. Moreover, simulation results observe the breakdown
voltage VBr for STS-IMOS as 4.1 V and for conventional IMOS it is 4.9 V. Hence, from
simulation results it can be inferred that there is a significant improvement in terms of threshold
voltage and breakdown voltage with comparable ION/IOFF ratio and sub-threshold swing.
Figure 4.(a) Transfer characteristics (ID−VGD) of STS-IMOS and IMOS, (b) breakdown characteristics
(ID−VDS) of STS-IMOS and IMOS.
5. CONCLUSIONS
In this paper, a schottky tunneling source impact ionization MOSFET (STS-IMOS) with silicide
source is proposed and investigated to lower the breakdown voltage. It also enhances the
performance of conventional impact ionization MOSFET (IMOS). The accumulative effect of
impact ionization and asymmetric source induced barrier tunneling is the key feature of STS-
IMOS. TCAD simulations validated significant reduction in break down voltage and threshold
voltage with comparable SS for STS-IMOS. It shows high immunity against Vth fluctuations due
to less hot electron damage. Consequently, device reliability is improved significantly.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015
47
REFERENCES
[1] K. Gopalakrishnan, P. B. Griffin, and J. D. Plummer, I-MOS: A novel semiconductor device with a
subthreshold slope lower than kT/q, in IEEE International Electron Devices Meeting, IEDM Tech.
Dig., 2002 pp. 289 −292.
[2] K. Gopalakrishnan, P. B Griffin, and J. D. Plummer, , “Impact Ionization MOS (I-MOS)- Part I:
device and circuit simulations,” IEEE Transactions on Electron Devices, vol. 52, no. 1, pp. 69 −76,
2005.
[3] K. Gopalakrishnan, R. Woo, C. Jungemann, P. B. Griffin, and J. D. Plummer, Impact Ionization MOS
(I-MOS)-part II: experimental results, IEEE Transactions on Electron Devices, vol. 52, no. 1, pp. 77
−84, 2005.
[4] W. Y. Choi, “Applications of impact-ionization metal-oxidesemiconductor (I-MOS) devices to circuit
design,” Current Applied Physics, vol. 10, no. 2, pp. 444 −451, 2010.
[5] W. Y. Choi, J. Y. Song, J. D. Lee, B.-G. Park, and B.G. Park, “A novel biasing scheme for I-MOS
(Impact-Ionization MOS) devices,” IEEE Transactions on Nanotechnology, vol. 4, no. 3, pp. 322
−325, 2005.
[6] W. Y. Choi, J. D. Lee,J. Y. Song, Y. J. Park, and B.G. Park, “100-nm n-/p-channel I-MOS using a
novel self-aligned structure,” IEEE Electron Device Letters, vol. 26, no. 4, pp. 261 −263, 2005.
[7] F. Mayer, C. Le Royer, G. Le Carval, L. Clavelier, and S. Deleonibus, “Static and dynamic TCAD
analysis of IMOS performance: From the single device to the circuit,” IEEE Transactions on Electron
Devices, vol. 53, no. 8, pp. 1852 −1857, 2006.
[8] R. Jhaveri, V. Nagavarapu, and J. C. Woo, “Asymmetric schottky tunneling source SOI MOSFET
design for mixed-mode applications,” IEEE Transactions on Electron Devices, vol. 56, no. 1, pp. 93
−99, 2009.
[9] Q. Huang, R. Huang, Z. Wang, Z. Zhan, and Y. Wang, “Schottky barrier impact-ionization metal-
oxide-semiconductor device with reduced operating voltage,” Applied Physics Letters, vol. 99, no. 8,
pp. 083507, 2011.
[10] F. Mayer, T. Poiroux, G. Le Carval, L. Clavelier, and S. Deleonibus, “Analytical and compact
modelling of the I-MOS (Impact Ionization MOS),” in IEEE 37th European Solid State Device
Research Conference, ESSDERC2007, pp. 291 −294.
[11] S. Sentaurus, Release G-2012.06, S-process and S-device simulators, Synopsys, 2012.
[12] S. M. Sze, Physics of Semiconductor Devices, 2nd ed. Wiley, New York, 1981.
AUTHORS
Sangeeta Singh received her B. Tech degree in electronics and communication
engineering from SGSITS Indore, India. She has received her M. Tech degree from
ABV- Indian Institute of Information Technology & Management Gwalior. She is
working towards Ph.D. degree in the department of Electronics & Communication at
PDPM Indian Institute of Information Technology Design and Manufacturing Jabalpur.
Her current areas of interest are super steep sub-threshold slope semiconductor device
modelling, device design, and simulation.
P.N. Kondekar Professor in the department of electronics and communication
engineering in PDPM Indian Institute of Information Technology Design and
Manufacturing Jabalpur, India. He obtained his doctorate (Ph.D Electrical Engineering)
from Indian Institute of Technology, Mumbai in the area of Microelectronics. He taught
at department of electronics and communication, Korea Advanced Institute of Science
and Technology, Daejeon South Korea and at department of electronic engineering,
Konkuk University Seoul, South Korea for a duration of about six years. His current
research interests are VLSI digital CMOS circuit design (Nano-Electronic Devices) solid
state device simulation and modeling and super-junction power MOSFET and charge
imbalance in these devices.

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SCHOTTKY TUNNELING SOURCE IMPACT IONIZATION MOSFET (STS-IMOS) WITH ENHANCED DEVICE PERFORMANCE

  • 1. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 DOI : 10.5121/vlsic.2015.6304 41 SCHOTTKY TUNNELING SOURCE IMPACT IONIZATION MOSFET (STS-IMOS) WITH ENHANCED DEVICE PERFORMANCE Sangeeta Singh1 , Student Member, IEEE, P.N. Kondekar1 , Member, IEEE 1 Nanoelectronics and VLSI Lab., Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur - 482005, India ABSTRACT In this paper, we propose and investigate a schottky tunneling source impact ionization MOSFET (STS- IMOS) with enhanced device performance. STS-IMOS has silicide (NiSi) source to lower the breakdown voltage of conventional impact ionization MOS (IMOS). There is cumulative effect of both impact ionization and source induced tunneling for the current gating mechanism of the device. The silicide source offers immensely low parasitic resistance subsequently there is an increment in voltage drop across intrinsic region. This leads to appreciable lowering of breakdown and threshold voltage for STS-IMOS. Hence, it demonstrates enhanced device performance over conventional IMOS. Besides this for STS-IMOS the location of maximum electric field has shifted towards the source and now it is quite away from gate oxide. Hence, it shows high immunity against Vth fluctuations due to hot electron damage. Consequently, it is found that device reliability is also improved significantly. KEYWORDS Impact Ionization, Barrier Tunneling, Subthreshold Slope (SS), Schottky-Contacts 1. INTRODUCTION In recent research, to overcome the “Boltzmann tyranny” and to realize “green transistors” with super steep subthreshold swing (SS) various charge based beyond CMOS non-conventional MOS devices have been proposed based on alternative charge injection mechanism. Among them IMOS [1]-[3] has evolved as a potential candidate having subthreshold slope (SS) as low as 5mV/dec significantly high ION/IOF F ratio (approximately 107 - 108 ). IMOS has no channel potential barrier, it uses the potential difference between the source and the channel to determine whether breakdown occurs or not. As the carriers of I-MOS devices are injected by avalanche breakdown mechanism instead of thermal injection, the subthreshold swing can be reduced even below its theoretical limit (60 mV/dec) at room temperature. Structurally, IMOS [4], [5] is a gated p-i-n device with gate semi overlapped over the intrinsic region that operates in reverse- bias regime. The conduction mechanism of IMOS is entirely different from the thermally injected drift-diffusion mechanism based conventional MOS. The conduction mechanism in IMOS is governed by the avalanche impact ionization phenomenon [6], [7]. IMOS exhibits super steep
  • 2. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 42 sub-threshold behavior due to the inherent properties of impact ionization mechanism. As impact ionization has enormously high gain and carriers generated due to impact ionization can be easily removed due to drift in high electric field region. Hence, it can be concluded that IMOS uses the gate controlled modulation of the breakdown voltage to switch from ON state to OFF state and vice-versa. Further as impact ionization mechanism for charge injection in IMOS requires high electric field it results in high breakdown voltage (VBr). It has high parasitic resistance of source region hence IMOS has high breakdown voltage and threshold voltage. To address this problem, a schottky tunneling source impact ionization MOSFET (STS-IMOS) with silicide source is proposed and investigated here. The fabrication process of STS-IMOS is compatible with the CMOS fabrication process flow. There is cumulative effect of impact ionization and source induced barrier tunneling. Simulation results demonstrate lower value of both threshold and breakdown voltages, enhanced ION/IOF F ratio and steep subthreshold swing (SS) for STS-IMOS. This paper is organized as follows: Section II addresses, device structure and the simulation methodology for studying the device performance parameters. Section III shows the analytical framework for the proposed device followed by Section IV covers simulation results. Finally, Section V draws important conclusions from the simulation study carried out. Figure 1. Schematic cross-sectional view of STS-IMOS. 2. DEVICE STRUCTURE AND SIMULATION PARAMETERS Schematic cross-sectional view of STS-IMOS is shown in Fig. 1. Silicon film thickness (TSi) is 15nm, thickness of gate oxide (Tox) is 3 nm, total channel length (Lch) is 200 nm, gate length (LG) is 120 nm and intrinsic region length (Lin) is 80 nm. For IMOS source doping (NA) and drain doping (ND) for both transistors are taken to be 1019 cm −3 . STS-IMOS is having NiSi source as suggested in [8] - [9] with schottky barrier height φB as 0.6 eV. To model the source induced tunneling effect in STS-IMOS non-local tunneling model is incorporated with a non-local distance of 2 nm in Synopsys. STS-IMOS operating principle is based on the impact ionization and source induced tunneling as shown in Fig. 2. Under a high applied VSD with low gate bias VGD there is no inversion in the region under gate, hence the effective channel length is the length of the entire intrinsic region. With increment in VGD there will be formation of inversion layer under the gate hence effective channel length is now reduced to i-region without the gate and electric field is intensified across this region, resulting in larger fraction of VSD drop across it and this initiates avalanche multiplication. Now, in STS-IMOS large VGD is applied modulates the effective φB and tunneling distance as well. Hence, there tunneling of electrons from source to drain, consequently there will current amplification. In order to optimize the device performance the parasitic resistances of source and the drain must be as small as possible and the effective
  • 3. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 43 voltage drop across the intrinsic channel region must be large to initiate the avalanche multiplication and tunneling simultaneously. 3. MODELING OF STS-IMOS The net current through STS-IMOS has three components, impact ionization current (Iii) due to high electric field, tunneling current (ITun) and thermionic current (ITherm) due to silicide source. As impact ionization current and tunneling current will be major components, hence thermionic emission current is neglected. Tun Tunii Therm iiI = I + I + I I + Ieff ≈ (1) 3.1. Source induced tunneling Current Component (ITun) To quantify the tunneling current IT un in STS-IMOS, the tunnel current barrier is characterized by the transmission function T(E) using (WKB) approximation as 3 2( ) exp{ ( ) }B ET E A φ −= − (2) Where, A denotes the Richardson constant given by 4 2 * 3 elect m q E A= h Now, the tunneling current can be modeled by solving 3 2 1 1 exp{ } 4 ( ). .[1 ( )]. 4 exp{ ( ) }. [1 ]. m B B B B GTun B B GTun m sTun qV qV E E k T eI T E f f E dE h e A h dE φ φ φ φ φ φ − − − + = − = − − ∫ ∫ (3) Using Boltzamann’s approximations and expanding the terms by using Taylor series and considering only upto 2nd order terms we get, 2 1 2 4 [ ]mTun GTun GTun e I V V h φ ξ ξ= − (4) 3/2 2 3 1 1 2 ( )B B B A q k T φ φ ξ + + = ; 3/2 2 3 2 2 1 ( )B B B A q k T φ φ ξ + + = where, VGT un is the effective gate threshold bias appearing in the intrinsic region to initiate the tunneling mechanism and it is linearly dependent on the applied gate bias VGD. 3.2. Impact Ionization Current (Iii) The ionization current is the major current component because of high electric field in the intrinsic region of STS-IMOS. In order to quantify the current contribution due impact ionization process in STS-IMOS we have followed the compact modeling technique developed by Mayer
  • 4. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 44 [10] for IMOS. Iii in STS-IMOS can be modeled by using the initial the electric field in the structure, depending on the applied bias and the device geometry is calculated. This calculated electric field in the region of impact ionization is then incorporated in the ionization integral, M. The two dimensional Poisson’s equation in area-I is 2 2 2 2 1 1 ( , ) ( , ) ;0 ;0i G Si Si x y x y qN x L y T x y ψ ψ ε ∂ ∂ + = ≤ ≤ ≤ ≤ ∂ ∂ (5) Figure 2. STS-IMOS conduction mechanism Solution for ψ1(x) can be obtained by considering the parabolic potential function approximation and imposing following boundary conditions 0,11 0 ( )( , ) [ ][ ]| msGox y oxSi V xx y x T ψ ψψ ε ε= − +∆∂ = − ∂ (6) 1( , ) 0| Siy T x y x ψ = ∂ = ∂ (7) General solution for the above differential equation will be of the form ' 1 ( ) exp( ) ''exp( ) { }x A x A xψ γ γ γ ℑ= + − − (8) Where, ( )[ ][ ]; [ ]msox i ox G ox oxSi Si Si Si Si VqN T T T T ψε ε ε ε ε γ +∆ −ℑ== (9) Similarly potential function and electric field in region-II can be given by, 2 2 2( ) ; ( )[ ] [ ]i i Si Si qN qN x x E xx xψ θ φ ε ε θ= + + = − − (10)
  • 5. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 45 where, A’ , A’’ , θ and ϕ are constants whose values can be obtained by imposing the following boundary conditions 1 2 1 2(0) ; ( ) ; ( ) ( )D G in S bi G GV L L V V L Lψ ψ ψ ψ= + = + = (11) 1 2( ) ( ) | |G Gx L x L x x x x ψ ψ = = ∂ ∂ = ∂ ∂ (12) Using above mentioned boundary conditions 1 1 [ ] GV η θ τ χ = + (13) Where, 1 3 2 2 exp( ) exp( ) 2 .exp( ) 2 2(exp( ) exp( )) 3 1 [( ).( ) ( ) ] G G G G in inG G G G L L L L L L L L L L η γ γ γ γ γ γ γ γ γ = + − − − − + + − + − + (14) 1 exp(2 )[ ]in GL Lγ γχ = + (15) 1 1 exp(2 ) 2 .exp( ) exp( ) 1 3 ( ) ] [ ] . ( ). ( ) [ ]ms s bi in G i D G G Si V L L qN V L L V γ γ γ γ γ ε η γ τ φ + + − + − + = − +∆ (16) Further impact ionization integral M can be used to get Iii expressions.
  • 6. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 46 Figure 3. Energy band diagram of STS-IMOS in (a) OFF state, i.e., (VGD = 0 V, VSD < 0 V) (b) ON state, i.e., (VGD > 0 V, VSD < 0 V) along device length with cut-line X – X’. 4. SIMULATION RESULTS AND DISCUSSION Fig. 3(a) depicts energy band diagram along the device length with horizontal cut-line (X-X’) at the center of the silicon film for STS-IMOS and conventional IMOS, in OFF state, there is no formation of inversion layer under the gate. Hence, effective channel length is entire i-region. Thus the electric field strength in intrinsic region is not enough to initiate the impact ionization process. This OFF state current is significantly small. A positive gate voltage turns the device ON by creating inversion layer under the gate and now effective channel length is reduced and electric field is intensified under the intrinsic region without the gate. It initiates impact ionization process. ON state energy band diagram along the device length with cut-line (X-X’) at the center of the silicon for both devices is shown in Fig. 3 (b). Fig. 4 (a) and (b) exhibit the transfer characteristics (ID−VGD) and breakdown characteristics (ID−VSD) of STS-IMOS and IMOS respectively. TCAD simulations show the threshold voltage of STS-IMOS VGT as 0.25 V and for conventional IMOS it is reported as 0.53 V. Moreover, simulation results observe the breakdown voltage VBr for STS-IMOS as 4.1 V and for conventional IMOS it is 4.9 V. Hence, from simulation results it can be inferred that there is a significant improvement in terms of threshold voltage and breakdown voltage with comparable ION/IOFF ratio and sub-threshold swing. Figure 4.(a) Transfer characteristics (ID−VGD) of STS-IMOS and IMOS, (b) breakdown characteristics (ID−VDS) of STS-IMOS and IMOS. 5. CONCLUSIONS In this paper, a schottky tunneling source impact ionization MOSFET (STS-IMOS) with silicide source is proposed and investigated to lower the breakdown voltage. It also enhances the performance of conventional impact ionization MOSFET (IMOS). The accumulative effect of impact ionization and asymmetric source induced barrier tunneling is the key feature of STS- IMOS. TCAD simulations validated significant reduction in break down voltage and threshold voltage with comparable SS for STS-IMOS. It shows high immunity against Vth fluctuations due to less hot electron damage. Consequently, device reliability is improved significantly.
  • 7. International Journal of VLSI design & Communication Systems (VLSICS) Vol.6, No.3, June 2015 47 REFERENCES [1] K. Gopalakrishnan, P. B. Griffin, and J. D. Plummer, I-MOS: A novel semiconductor device with a subthreshold slope lower than kT/q, in IEEE International Electron Devices Meeting, IEDM Tech. Dig., 2002 pp. 289 −292. [2] K. Gopalakrishnan, P. B Griffin, and J. D. Plummer, , “Impact Ionization MOS (I-MOS)- Part I: device and circuit simulations,” IEEE Transactions on Electron Devices, vol. 52, no. 1, pp. 69 −76, 2005. [3] K. Gopalakrishnan, R. Woo, C. Jungemann, P. B. Griffin, and J. D. Plummer, Impact Ionization MOS (I-MOS)-part II: experimental results, IEEE Transactions on Electron Devices, vol. 52, no. 1, pp. 77 −84, 2005. [4] W. Y. Choi, “Applications of impact-ionization metal-oxidesemiconductor (I-MOS) devices to circuit design,” Current Applied Physics, vol. 10, no. 2, pp. 444 −451, 2010. [5] W. Y. Choi, J. Y. Song, J. D. Lee, B.-G. Park, and B.G. Park, “A novel biasing scheme for I-MOS (Impact-Ionization MOS) devices,” IEEE Transactions on Nanotechnology, vol. 4, no. 3, pp. 322 −325, 2005. [6] W. Y. Choi, J. D. Lee,J. Y. Song, Y. J. Park, and B.G. Park, “100-nm n-/p-channel I-MOS using a novel self-aligned structure,” IEEE Electron Device Letters, vol. 26, no. 4, pp. 261 −263, 2005. [7] F. Mayer, C. Le Royer, G. Le Carval, L. Clavelier, and S. Deleonibus, “Static and dynamic TCAD analysis of IMOS performance: From the single device to the circuit,” IEEE Transactions on Electron Devices, vol. 53, no. 8, pp. 1852 −1857, 2006. [8] R. Jhaveri, V. Nagavarapu, and J. C. Woo, “Asymmetric schottky tunneling source SOI MOSFET design for mixed-mode applications,” IEEE Transactions on Electron Devices, vol. 56, no. 1, pp. 93 −99, 2009. [9] Q. Huang, R. Huang, Z. Wang, Z. Zhan, and Y. Wang, “Schottky barrier impact-ionization metal- oxide-semiconductor device with reduced operating voltage,” Applied Physics Letters, vol. 99, no. 8, pp. 083507, 2011. [10] F. Mayer, T. Poiroux, G. Le Carval, L. Clavelier, and S. Deleonibus, “Analytical and compact modelling of the I-MOS (Impact Ionization MOS),” in IEEE 37th European Solid State Device Research Conference, ESSDERC2007, pp. 291 −294. [11] S. Sentaurus, Release G-2012.06, S-process and S-device simulators, Synopsys, 2012. [12] S. M. Sze, Physics of Semiconductor Devices, 2nd ed. Wiley, New York, 1981. AUTHORS Sangeeta Singh received her B. Tech degree in electronics and communication engineering from SGSITS Indore, India. She has received her M. Tech degree from ABV- Indian Institute of Information Technology & Management Gwalior. She is working towards Ph.D. degree in the department of Electronics & Communication at PDPM Indian Institute of Information Technology Design and Manufacturing Jabalpur. Her current areas of interest are super steep sub-threshold slope semiconductor device modelling, device design, and simulation. P.N. Kondekar Professor in the department of electronics and communication engineering in PDPM Indian Institute of Information Technology Design and Manufacturing Jabalpur, India. He obtained his doctorate (Ph.D Electrical Engineering) from Indian Institute of Technology, Mumbai in the area of Microelectronics. He taught at department of electronics and communication, Korea Advanced Institute of Science and Technology, Daejeon South Korea and at department of electronic engineering, Konkuk University Seoul, South Korea for a duration of about six years. His current research interests are VLSI digital CMOS circuit design (Nano-Electronic Devices) solid state device simulation and modeling and super-junction power MOSFET and charge imbalance in these devices.