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Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2335 | P a g e
Dual material gate-all-around Fully Depleted SOI MOSFET with
Strained Si/Ge Channel
Sabina*, Alok K. Kushwaha**
*(Assistant professor, School of Engg. & Technology,Ansal University, Gurgaon, Haryana
** (Dean, School of Engg. & Technology,Ansal University, Gurgaon, Haryana
ABSTRACT
After a lot of efforts to scale down the
devices, now the scaling limits of device have
reached i.e. it’s not possible to scale down the
CMOS further. For further scaling of device we
need to change the materials used for the gate and
channel. In this paper different structures
suggested by different authors are covered along
with their benefits and limitations. A structure
based on the Fully Depleted SOI Gate All around
(FD SOI GAA) MOSFET with strained Si Channel
has been suggested to overcome the scaling limits
along with the QME consideration in modeling.
Keywords-CMOS, FD, Gate-All-Around, Quantum
Mechanical Effect, Scaling Effects, SOI, Strained Si.
I. INTRODUCTION
CMOS technology has contributed signifi-
cantly for the development of almost all the coun-
tries. This is due to the vast applications used in
every sphere and industry. With the fast pace of tech-
nological changes, consumer electronic device re-
quirements are also growing. Hence, the need for
large scale, complex integrated circuits increases at
the same pace. With the scaling of the device or with
the increase in the device count in an IC, area de-
creases, but power dissipation and the speed becomes
most important issues. Keeping in mind all these is-
sues, now the device dimensions have reached a limit
that cannot be further scaled down. With further scal-
ing of the device, the effects like Short-Channel-
Effects (SCE), Quantum Mechanical Effects (QME)
becomes dominating. So while designing, the most
fundamental challenge is the trade-off between short-
channel effects and the impact of Source-drain resis-
tance (due to change in channel length).
With the scaling, the devices trends from
microelectronics to nanoelectronics regime following
the moore’s law. This movement starts with the bulk
CMOS transistor followed by SOI CMOS with dif-
ferent gate structures like single gate, double gate,
trigate and then gate all around, with different gate
materials like single material, dual material. In a con-
ventional, bulk-silicon microcircuit, the active ele-
ments are isolated from the silicon body with a deple-
tion layer of a p-n junction. The leakage current of
this p-n junction exponentially increases with tem-
perature and limit the operation of microcircuits at
high temperatures. Bulk CMOS transistor as dis-
cussed by Kang [1] aces a very serious problem of
Latch-up due to the formation of parasitic bipolar
transistors. As discussed by Ulicki [2], Silicon-on-
insulator (SOI) offers superior CMOS devices with
higher speed, higher density, excellent radiation
hardness and reduced second order effects for submi-
cron VLSI applications. Dual-Material Gate (DMG)
structure offers an alternative way of simultaneous
SCE suppression and improved device performance
by careful control of the material work function and
length of the laterally amalgamated gate materials
explained by Chaudhary [3]. With the change in the
no of gates i.e. from single gate to multigate the con-
trol of the gate voltage on the channel surface poten-
tial increases. By combining the benefits of Dual
material with the dual gate, Kushwaha [4] concluded
that the DMDG SOI MOSFET is the option that can
limit the SCE to a very large extend. Choudhary [5]
suggested the stressed Si structure for improving the
carrier mobility.
In this review paper, there are four sections.
Section I includes the introduction. In Section 2, var-
ious problems, encountered during scaling of
MOSFET, are explained. In Section 3, various struc-
tures, suggested of different authors to overcome
those problems, are explained. Section 4 includes the
proposed work on the basis of section III suggestions.
II. SCALING EFFECTS
In 1965, Gordon Moore wrote a paper enti-
tled “Cramming more Components onto Integrated
Circuits” where he first proposed that transistor den-
sity on chips would grow exponentially [6]. Follow-
ing this law, various MOSFET models designed. This
law was followed for more than forty-five years. But
now with further scaling of the devices, the various
problems are encountered Quantum Tunneling of
carriers, Short Channel Effects Like Edge potential
effects, Punchthrough, Drain Induced Barrier Lower-
ing (DIBL), Hot Carrier Effect and subthreshold
Swing. So, there is a large need of considering the
new structures with new materials that can be proven
suitable to follow the law with suppressed problems.
2.1. Quantum Mechanical Effect
With the scaling of the device, the model
used to describe the behavior of MOS faces difficul-
ties to achieve the accurate description. As more
complicated phenomena starts arising out of down-
Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2336 | P a g e
scaling of MOSFET, we need to consider those entire
phenomenon before the modeling of MOSFET. One
such phenomenon is the failure of classical physics.
At this classical physics limit, quantum mechanics
need to be taken into account. The major issue is the
increase in quantum effects near the Si/SiO2 interface
that affects the charge carrier distribution in the
channel inversion layer. The thermal wavelength of
an electron is given by 𝜋ℎ 2 𝑚 𝐾𝐵 𝑇, which is about
8nm at room temperature when m is the free electron
mass. This wavelength is very smaller than the gate
length in the foreseen future described by ITRS [7],
oxide thickness, and channel depth for current devic-
es. So the quantum plays a very important role in
modeling the MOSFET that can be used as a simula-
tion model.
Fig.1 Tunneling currents Igs, Igd, Igc of
MOSFET by WANG [8]
In case of ultra thin gate oxide, the electric
field will be very high, which in turn pushes the
charge carriers through the channel to account for the
gate direct tunneling current, demonstrated by Wang
[8] shown in the fig.1. Other Quantum mechanical
effects are energy quantization, displacement of
energy charge density of the bulk, Quantum mechan-
ical tunneling from source to drain, threshold voltage
and drain saturation voltage shift described by
Choudhary & ROY [9] and Abebe [10]. Hence to
best describe the characteristics of a device the model
approach should include the QME.
2.2. Short Channel Effects
2.2.1 End effects and channel length
modulation
The voltage applied on the gate, drain and
the source induces the depletion region in the body.
Hence there are three depletion regions i.e. under the
gate which is balanced by gate voltage and other two
regions are balanced by the source and drain voltages
as shown in the fig.2 below. But as the channel
length decreases then the effect of drain to source
voltage as well as the gate voltage affects the deple-
tion region under the gate. And the control of gate
starts decreasing over the effect introduced under the
gate and hence the operation of MOSFET gets dis-
turbed. One more factor i.e. drain voltage also affects
the channel length. When the effect of the drain vol-
tage is more as compared to the gate voltage, then
channel length modulates and the transistor starts
conducting a constant value current i.e. saturation
region current. This effect is more dominating in case
of short channel.
Fig.2 Depletion charge region in long channel
(left) and Short channel (right)
2.2.2 DIBL-Drain Induced Barrier Lowering
Due to the reduction of gate control over the
drain current, DIBL effect comes into the picture. In
short channel devices, drain biased depletion region
has the effect of lowering the barrier potential at the
source end and hence there is a current flow even
when the device is OFF. This effect is also more do-
minating in Short channel devices and can be alle-
viated by increasing the doping concentration of the
channel region.
2.2.3 Punchthrough
Punchthrough is an extreme version of the
DIBL and occurs when due to the increase in drain
voltage the depletion region of source and drain over-
laps. When the depletion region of drain and source
overlaps, then a substantial current flows through the
channel, even with no bias at the gate terminal. In-
creasing the doping of channel region can alleviate
this problem.
As discussed, the solution to overcome this problem
of SCE is to increase the doping level in the channel
region. But with the increase of doping level in the
channel region, the scattering at the ionized impuri-
ties also increases and the elevated vertical electrical
field due to the impurities also increases which in
turn degrade the device performance. Also suggested
by Subrahmanyam & Kumar [11] Vertical gate struc-
ture can be used to mitigate the SCEs.
III. MOSFET STRUCTURES
Different authors suggested different struc-
tures, from time to time, with various improvements.
Some of the models using planar technology are:
3.1. Structure with different Channel doping:
Partially Depleted, Fully Depleted MOSFET.
Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2337 | P a g e
3.2. Structure with different Substrate: Bulk Si
MOSFET, SOI MOSFET.
3.3. Structure with different gate structures i.e.
single gate, Double gate, Gate-all-Around.
3.4. Structure with different gate materials: Sin-
gle material, dual material Gate.
3.5. Structure with strained and unstrained
Channel: Strained Si Channel, Unstrained Si Channel
MOSFET.
3.1. Partially Depleted Vs Fully Depleted
MOSFET
In Partially Depleted MOSFET, a part of the body
region remains undepleted while in Fully Depleted
MOSFET; the depletion region extends in the whole
body. The various Characteristics of the two models
are as follows:
3.1.1. Kink in the drain current
In PD, the current kink is observed at a par-
ticular drain voltage due to the electron-hole pair
generated by impact-ionization. In FD, there is lower
potential barrier for the minority carriers as whole of
the body is depleted of carriers. So there is no accu-
mulation of holes in the body region and consequent
kink in the drain characteristics.
3.1.2. Floating Body Effect
PD devices are significantly sensitive to dy-
namic body effect due to the presence of different
doping structures available in the body and require
the body to be connected to a constant potential. FD
devices are unaffected by the dynamic body effects
and are more stable.
Floating body PD SOI MOSFETs biased above the
kink voltage have a drain current higher than tied
body devices, but dependent on switching frequency.
Perron et Al. [12] showed the results that in MHz
range the on current increases, but the leakage current
in Off-state also increases.
3.1.3. Parasitic bipolar effects
Parasitic bipolar transitors are formed in the
MOSFET where Source, body and drain act as emit-
ter, base and collector respectively. As the body is
more depleted in FD devices, parasitic transistor is
more effective in FD devices. These parasitic transis-
tor leads to the latch-up problem.
3.2. Bulk Si Vs SOI MOSFET
The SOI employs a thin layer of Si isolated
from the Si substrate by a thick layer of silicon oxide.
Insulator layer provides dielectrically isolation and
reduces various circuit parasitic capacitances and
hence reduces the latch-up problem and also increas-
es the speed of the device.
The SOI layer also provides some protection
against the radiation hardness, as the electron-hole
pair generated in the SI substrate due to the radiations
cannot affect the channel. But in case of Bulk Si, as
there is no isolation between the Si substrate and the
channel, so the electron-hole pair generated affects
the channel and ultimately the device performance is
degraded. Also the Short-channel-effects are reduced
to a very large extend in SOI MOSFETS due to the
presence of thin Si film.
Fig.3 shows the performance of SOI MOSFETs. The
low resistivity substrate that is used in bulk silicon
CMOS processes limits the integration of high-
quality passive components and gives rise to sub-
strate coupling issues.
Fig.3 Performance improved in SOI MOSFETS
Tinella et al. [13] explained that the HRSOI (high
resistive SOI) improves the RF circuit performance
and reduces the substrate coupling issues.
3.3. Single Gate Vs Multigate
Gate terminal is the input terminal whose
potential creates an effect in the channel to control
the flow of current inside the channel. Colinge [14]
demonstrated the reasons for evolving from single
gate to multi-gate structures. The fig.4 shows the
Source and drain terminals, which are connected by a
channel. L is the length of the channel and E is the
electric field induced in the channel due to the gate
voltage. This Electric field has different components
along different axes.
Fig.4 Electric field lines from source to drain
Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2338 | P a g e
When there are two gates as shown in fig.5
(middle), then there are voltages from two sides gate
to control the current flow in the channel i.e. much
better control over the charge flow in the channel.
Fig.5 MOSFET with single gate (top), double
gate ( middle) and gate all-arround (bottom)
So in case of double gate, when the channel is even
shortened, the flow of current can be better controlled
in comparison to the single gate. Similarly in the case
of Gate-all –around, the best control over the channel
in comparison to double gate and tri-gate. The
relation of the Electrostatic control effect with no of
gates was best described by Colinge [15] in the
equation form as:
Electrostatic Control α
𝑛 𝜀 𝑜𝑥
𝜀𝑆𝑖 𝑡 𝑆𝑖 𝑡 𝑜𝑥
Where n is the no of gates.
Jingbin et al. [16] explained that the explosive growth
of power consumption and sensitivity to size varia-
tions limits the single-gate scalability below 6 nm
gate length. Jimenez [17] explained the use of bene-
fits of GAA MOSFET in various applications i.e.
Nanowire.
3.4. Single Material Vs Dual Material Gate
Proposed by Long et al. [18] dual material
gate MOSFET induces the step potential at the inter-
face between the different gate materials and make
the much higher field in the channel region that im-
proves the carrier transit speed and hence increases
the device driving capability. Due to the screen ef-
fects from the gate with low work function of DMG
MOSFET, the high electric field near the drain end is
effectively reduced, which suppresses the hot carrier
effects and reduces the substrate current leakage.
As predicted by Choudhary [3] Dual materi-
al when used in Single gate SOI MOSFET gives the
much better performance in terms of SCEs. Kumar &
Chaudhary [19] developed the threshold voltage
model for dual material surrounding gate MOSFET
using Quasi potential approach (QPA). Chiang [20]
developed the exact two-dimensional subthreshold
behavior model, which comprises two-dimensional
potential, threshold voltage, subthreshold current, and
subthreshold swing and found that DMSG MOSFET
exhibits superiority over single material for lowering
SCEs.
3.5. Strained Vs Unstrained Si Channel
By appling the stress on the Si the lattice
constant of Si changes and so we have to use SiGe
below the strained Si as shown in fig.6, so that there
are no dislocations in the structure explained by Kim
et al. [21] and Batwani et al. [22].
Fig.6 Unstrained Si (top) and Strained Si
(bottom)
The stress applied to Si channel lifts band
degeneracies, causes band warping and hence results
in carrier effective mass change.
From the mass-mobility relation we have:
Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2339 | P a g e
μ=
𝑒 𝜏
𝑚∗ 𝜇
Where m* is the effective mass, is the relaxation
time and μ is the mobility. So as the effective mass
reduces the mobility increases. In this way by using
stressed Si, the mobility in the channel can be in-
creased.
Fig.7 Dual-material Gate-all-around strained Si
MOSFET
Nuo [25] suggested the Strained Si MOSFET as the
next generation MOSFET by simulating the results
for different gate structures.Gate-all-around
MOSFET along with the benefits of dual-material
and the strained Si model is the proposed one and is
shown in fig.7.
IV. CONCLUSION AND FUTURE WORK
The scaling of CMOS transistors has driven
the tremendous growth of the semiconductor indus-
try. As described by various authors CMOS is reach-
ing its limits. In this review paper all models derived
till now has been discussed along with their limits. A
work can be proposed for modeling of a SOI
MOSFET using DM Gate-All-Around Structure with
stressed III-V group materials for channel including
the QME. This proposed model could replace the
CMOS when the limit is reached.
REFERENCES
[1] S. M. Kang, “Chip Input and Output (I/O)
Circuits,” in CMOS Digital Integrated Cir-
cuits, 3rd
edition, Ed. New York: McGraw
Hill, 2012, pp. 576-81.
[2] Bob Ulicki, “SOI Fundamentals”, presented
at SOI Consortium, march 2009.
[3] A. Choudhary, “Analytical Modeling and
Simulation of Short-Channel Effects in a
Fully Depleted Dual-Material Gate (DMG)
SOI MOSFET,” Master Thesis, IIT, Delhi,
Dec-2003.
[4] A. K. Kushwaha, “On the Modeling of Dual
Material Double-gate Fully Depleted Silicon
on Insulator MOSFET,” PhD Thesis, NIT,
Kurukshetra, 2011.
[5] A. Chaudhary, S. Sangwan, J.N. Roy, “Mo-
bility Models for Unstrained and Strained
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Comtemporary Engineering Sciences, Vol.
4, No.5, 2011, pp. 229-247.
[6] G. E. Moore, “Cramming more Components
onto Integrated Circuits,” Electronics letter,
Vol. 38, No. 8, April 19, 1965.
[7] International Technology Roadmap for Sem-
iconductors. Website:
http://www.itrs.net/Links/2011ITRS/2011C
hapters/2011ERD.pdf
[8] lihui Wang, “Quantum Mechanical Effects
on MOSFET scaling limits,” PhD Thesis,
Georgia Institute of Technology, 2006.
[9] A. Chaudhary and J.N. Roy, “MOSFET
Models, Quantum Mechanical Effects,
Modelling Approaches: A review,” Journal
of Semiconductor technology and Science,
Vol. 10, No. 1, 2010.
[10] H. Abebe and E. Cumberbatch, “Quantum
Mechanical Effect Correction Model for In-
version Charge and Current-Voltage Charac-
teristics of MOSFET Device,” in proc. of
Nanotech Conference, Vol 2, 2003, pp. 218-
221.
[11] B. Subrahmanyam, M. Jagadesh Kumar,
“Recessed source concept in nanoscale ver-
tical surrounding gate (VSG) MOSFETs for
controlling short-channel effects,” journal of
Physica E, vol. 41, 2009, pp. 671–676
[12] L. Perron, C. hamagucchi, A. Lacaita, S.
Maegawa, Y. Yamaguchi, “Dynamic Float-
ing body effect in PD SOI MOSFETs biased
in Kink region,” Osaka University, 2008.
[13] C. Tinella1, F. Gianesello, D. Gloria1, C.
Raynaud, P. Delatte, A. Engelstein, J.M.
Fournier, Ph. Benech, J. Jomaah, “Partially
Depleted CMOS SOI Technology for Low
Power RF Applications,” presented at 13th
GASS Symposium, Paris, 2005.
[14] J. P. Colinge, “The New Generation if SOI
MOSFETs,” Romanian Journal of Informa-
tion science and technology, Vol. 11, 2008,
pp. 3-15.
[15] J. P. Colinge, “Multi-gate SOI MOSFETs,”
journal of Microelectronic Engineering, vol.
84, 2007, pp. 2071–2076.
[16] Jingbin Li, Thomas J. Walls, and Konstantin
K. Likharev, “Nanoscale SOI MOSFETs: In
Search for the best geometry,” Storny Brook
University, U.S.A.
[17] D. Jimenez, J.J. Saenz, B. Iniguez, “Model-
ing of Nanoscale Gate-All-Around
MOSFETS,” IEEE Electron Device Letters,
Vol. 25, No.5, 2004.
[18] W. Long, H. Ou, J. M. Kuo, and K. K. Chin,
“Dual material gate (DMG) Field Effect
Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications
(IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340
2340 | P a g e
Transistor,” IEEE Transactions on Electron
Devices, Vol. 46, pp. 865-870, 1999.
[19] M.J. Kumar, A. Chaudhary, “Two-
dimensional analytical modelling of fully
depleted DMG SOI MOSFET and evidence
for SCEs,” IEEE Transactions on Electronic
Devices, Vol. 4, pp. 569-75, 2004.
[20] T.K. Chiang, “A new compact subthreshold
behavior model for dual material surround-
ing gate (DMSG) MOSFETs,” Journal of
Solid-state electronics, Vol. 53, 2009, pp.
490-496.
[21] K. Kim, O. Kwon, J. Seo and T. Won,
“Two-Dimensional Quantum-Mechanical
Modeling for Strained Silicon Channel of
Double-Gate MOSFET,” Journal of the Ko-
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2004, pp. S909_S913.
[22] H. Batwani, M. Gaur and M. Jagadesh Ku-
mar, “Analytical drain current model for na-
noscale strained-Si/SiGe MOSFETs,” Inter-
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[23] J. Walczak and B. Majkusiak, “Electron
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[25] Nuo Xu, “Effectiveness of Strain Solutions
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Nc342352340

  • 1. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2335 | P a g e Dual material gate-all-around Fully Depleted SOI MOSFET with Strained Si/Ge Channel Sabina*, Alok K. Kushwaha** *(Assistant professor, School of Engg. & Technology,Ansal University, Gurgaon, Haryana ** (Dean, School of Engg. & Technology,Ansal University, Gurgaon, Haryana ABSTRACT After a lot of efforts to scale down the devices, now the scaling limits of device have reached i.e. it’s not possible to scale down the CMOS further. For further scaling of device we need to change the materials used for the gate and channel. In this paper different structures suggested by different authors are covered along with their benefits and limitations. A structure based on the Fully Depleted SOI Gate All around (FD SOI GAA) MOSFET with strained Si Channel has been suggested to overcome the scaling limits along with the QME consideration in modeling. Keywords-CMOS, FD, Gate-All-Around, Quantum Mechanical Effect, Scaling Effects, SOI, Strained Si. I. INTRODUCTION CMOS technology has contributed signifi- cantly for the development of almost all the coun- tries. This is due to the vast applications used in every sphere and industry. With the fast pace of tech- nological changes, consumer electronic device re- quirements are also growing. Hence, the need for large scale, complex integrated circuits increases at the same pace. With the scaling of the device or with the increase in the device count in an IC, area de- creases, but power dissipation and the speed becomes most important issues. Keeping in mind all these is- sues, now the device dimensions have reached a limit that cannot be further scaled down. With further scal- ing of the device, the effects like Short-Channel- Effects (SCE), Quantum Mechanical Effects (QME) becomes dominating. So while designing, the most fundamental challenge is the trade-off between short- channel effects and the impact of Source-drain resis- tance (due to change in channel length). With the scaling, the devices trends from microelectronics to nanoelectronics regime following the moore’s law. This movement starts with the bulk CMOS transistor followed by SOI CMOS with dif- ferent gate structures like single gate, double gate, trigate and then gate all around, with different gate materials like single material, dual material. In a con- ventional, bulk-silicon microcircuit, the active ele- ments are isolated from the silicon body with a deple- tion layer of a p-n junction. The leakage current of this p-n junction exponentially increases with tem- perature and limit the operation of microcircuits at high temperatures. Bulk CMOS transistor as dis- cussed by Kang [1] aces a very serious problem of Latch-up due to the formation of parasitic bipolar transistors. As discussed by Ulicki [2], Silicon-on- insulator (SOI) offers superior CMOS devices with higher speed, higher density, excellent radiation hardness and reduced second order effects for submi- cron VLSI applications. Dual-Material Gate (DMG) structure offers an alternative way of simultaneous SCE suppression and improved device performance by careful control of the material work function and length of the laterally amalgamated gate materials explained by Chaudhary [3]. With the change in the no of gates i.e. from single gate to multigate the con- trol of the gate voltage on the channel surface poten- tial increases. By combining the benefits of Dual material with the dual gate, Kushwaha [4] concluded that the DMDG SOI MOSFET is the option that can limit the SCE to a very large extend. Choudhary [5] suggested the stressed Si structure for improving the carrier mobility. In this review paper, there are four sections. Section I includes the introduction. In Section 2, var- ious problems, encountered during scaling of MOSFET, are explained. In Section 3, various struc- tures, suggested of different authors to overcome those problems, are explained. Section 4 includes the proposed work on the basis of section III suggestions. II. SCALING EFFECTS In 1965, Gordon Moore wrote a paper enti- tled “Cramming more Components onto Integrated Circuits” where he first proposed that transistor den- sity on chips would grow exponentially [6]. Follow- ing this law, various MOSFET models designed. This law was followed for more than forty-five years. But now with further scaling of the devices, the various problems are encountered Quantum Tunneling of carriers, Short Channel Effects Like Edge potential effects, Punchthrough, Drain Induced Barrier Lower- ing (DIBL), Hot Carrier Effect and subthreshold Swing. So, there is a large need of considering the new structures with new materials that can be proven suitable to follow the law with suppressed problems. 2.1. Quantum Mechanical Effect With the scaling of the device, the model used to describe the behavior of MOS faces difficul- ties to achieve the accurate description. As more complicated phenomena starts arising out of down-
  • 2. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2336 | P a g e scaling of MOSFET, we need to consider those entire phenomenon before the modeling of MOSFET. One such phenomenon is the failure of classical physics. At this classical physics limit, quantum mechanics need to be taken into account. The major issue is the increase in quantum effects near the Si/SiO2 interface that affects the charge carrier distribution in the channel inversion layer. The thermal wavelength of an electron is given by 𝜋ℎ 2 𝑚 𝐾𝐵 𝑇, which is about 8nm at room temperature when m is the free electron mass. This wavelength is very smaller than the gate length in the foreseen future described by ITRS [7], oxide thickness, and channel depth for current devic- es. So the quantum plays a very important role in modeling the MOSFET that can be used as a simula- tion model. Fig.1 Tunneling currents Igs, Igd, Igc of MOSFET by WANG [8] In case of ultra thin gate oxide, the electric field will be very high, which in turn pushes the charge carriers through the channel to account for the gate direct tunneling current, demonstrated by Wang [8] shown in the fig.1. Other Quantum mechanical effects are energy quantization, displacement of energy charge density of the bulk, Quantum mechan- ical tunneling from source to drain, threshold voltage and drain saturation voltage shift described by Choudhary & ROY [9] and Abebe [10]. Hence to best describe the characteristics of a device the model approach should include the QME. 2.2. Short Channel Effects 2.2.1 End effects and channel length modulation The voltage applied on the gate, drain and the source induces the depletion region in the body. Hence there are three depletion regions i.e. under the gate which is balanced by gate voltage and other two regions are balanced by the source and drain voltages as shown in the fig.2 below. But as the channel length decreases then the effect of drain to source voltage as well as the gate voltage affects the deple- tion region under the gate. And the control of gate starts decreasing over the effect introduced under the gate and hence the operation of MOSFET gets dis- turbed. One more factor i.e. drain voltage also affects the channel length. When the effect of the drain vol- tage is more as compared to the gate voltage, then channel length modulates and the transistor starts conducting a constant value current i.e. saturation region current. This effect is more dominating in case of short channel. Fig.2 Depletion charge region in long channel (left) and Short channel (right) 2.2.2 DIBL-Drain Induced Barrier Lowering Due to the reduction of gate control over the drain current, DIBL effect comes into the picture. In short channel devices, drain biased depletion region has the effect of lowering the barrier potential at the source end and hence there is a current flow even when the device is OFF. This effect is also more do- minating in Short channel devices and can be alle- viated by increasing the doping concentration of the channel region. 2.2.3 Punchthrough Punchthrough is an extreme version of the DIBL and occurs when due to the increase in drain voltage the depletion region of source and drain over- laps. When the depletion region of drain and source overlaps, then a substantial current flows through the channel, even with no bias at the gate terminal. In- creasing the doping of channel region can alleviate this problem. As discussed, the solution to overcome this problem of SCE is to increase the doping level in the channel region. But with the increase of doping level in the channel region, the scattering at the ionized impuri- ties also increases and the elevated vertical electrical field due to the impurities also increases which in turn degrade the device performance. Also suggested by Subrahmanyam & Kumar [11] Vertical gate struc- ture can be used to mitigate the SCEs. III. MOSFET STRUCTURES Different authors suggested different struc- tures, from time to time, with various improvements. Some of the models using planar technology are: 3.1. Structure with different Channel doping: Partially Depleted, Fully Depleted MOSFET.
  • 3. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2337 | P a g e 3.2. Structure with different Substrate: Bulk Si MOSFET, SOI MOSFET. 3.3. Structure with different gate structures i.e. single gate, Double gate, Gate-all-Around. 3.4. Structure with different gate materials: Sin- gle material, dual material Gate. 3.5. Structure with strained and unstrained Channel: Strained Si Channel, Unstrained Si Channel MOSFET. 3.1. Partially Depleted Vs Fully Depleted MOSFET In Partially Depleted MOSFET, a part of the body region remains undepleted while in Fully Depleted MOSFET; the depletion region extends in the whole body. The various Characteristics of the two models are as follows: 3.1.1. Kink in the drain current In PD, the current kink is observed at a par- ticular drain voltage due to the electron-hole pair generated by impact-ionization. In FD, there is lower potential barrier for the minority carriers as whole of the body is depleted of carriers. So there is no accu- mulation of holes in the body region and consequent kink in the drain characteristics. 3.1.2. Floating Body Effect PD devices are significantly sensitive to dy- namic body effect due to the presence of different doping structures available in the body and require the body to be connected to a constant potential. FD devices are unaffected by the dynamic body effects and are more stable. Floating body PD SOI MOSFETs biased above the kink voltage have a drain current higher than tied body devices, but dependent on switching frequency. Perron et Al. [12] showed the results that in MHz range the on current increases, but the leakage current in Off-state also increases. 3.1.3. Parasitic bipolar effects Parasitic bipolar transitors are formed in the MOSFET where Source, body and drain act as emit- ter, base and collector respectively. As the body is more depleted in FD devices, parasitic transistor is more effective in FD devices. These parasitic transis- tor leads to the latch-up problem. 3.2. Bulk Si Vs SOI MOSFET The SOI employs a thin layer of Si isolated from the Si substrate by a thick layer of silicon oxide. Insulator layer provides dielectrically isolation and reduces various circuit parasitic capacitances and hence reduces the latch-up problem and also increas- es the speed of the device. The SOI layer also provides some protection against the radiation hardness, as the electron-hole pair generated in the SI substrate due to the radiations cannot affect the channel. But in case of Bulk Si, as there is no isolation between the Si substrate and the channel, so the electron-hole pair generated affects the channel and ultimately the device performance is degraded. Also the Short-channel-effects are reduced to a very large extend in SOI MOSFETS due to the presence of thin Si film. Fig.3 shows the performance of SOI MOSFETs. The low resistivity substrate that is used in bulk silicon CMOS processes limits the integration of high- quality passive components and gives rise to sub- strate coupling issues. Fig.3 Performance improved in SOI MOSFETS Tinella et al. [13] explained that the HRSOI (high resistive SOI) improves the RF circuit performance and reduces the substrate coupling issues. 3.3. Single Gate Vs Multigate Gate terminal is the input terminal whose potential creates an effect in the channel to control the flow of current inside the channel. Colinge [14] demonstrated the reasons for evolving from single gate to multi-gate structures. The fig.4 shows the Source and drain terminals, which are connected by a channel. L is the length of the channel and E is the electric field induced in the channel due to the gate voltage. This Electric field has different components along different axes. Fig.4 Electric field lines from source to drain
  • 4. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2338 | P a g e When there are two gates as shown in fig.5 (middle), then there are voltages from two sides gate to control the current flow in the channel i.e. much better control over the charge flow in the channel. Fig.5 MOSFET with single gate (top), double gate ( middle) and gate all-arround (bottom) So in case of double gate, when the channel is even shortened, the flow of current can be better controlled in comparison to the single gate. Similarly in the case of Gate-all –around, the best control over the channel in comparison to double gate and tri-gate. The relation of the Electrostatic control effect with no of gates was best described by Colinge [15] in the equation form as: Electrostatic Control α 𝑛 𝜀 𝑜𝑥 𝜀𝑆𝑖 𝑡 𝑆𝑖 𝑡 𝑜𝑥 Where n is the no of gates. Jingbin et al. [16] explained that the explosive growth of power consumption and sensitivity to size varia- tions limits the single-gate scalability below 6 nm gate length. Jimenez [17] explained the use of bene- fits of GAA MOSFET in various applications i.e. Nanowire. 3.4. Single Material Vs Dual Material Gate Proposed by Long et al. [18] dual material gate MOSFET induces the step potential at the inter- face between the different gate materials and make the much higher field in the channel region that im- proves the carrier transit speed and hence increases the device driving capability. Due to the screen ef- fects from the gate with low work function of DMG MOSFET, the high electric field near the drain end is effectively reduced, which suppresses the hot carrier effects and reduces the substrate current leakage. As predicted by Choudhary [3] Dual materi- al when used in Single gate SOI MOSFET gives the much better performance in terms of SCEs. Kumar & Chaudhary [19] developed the threshold voltage model for dual material surrounding gate MOSFET using Quasi potential approach (QPA). Chiang [20] developed the exact two-dimensional subthreshold behavior model, which comprises two-dimensional potential, threshold voltage, subthreshold current, and subthreshold swing and found that DMSG MOSFET exhibits superiority over single material for lowering SCEs. 3.5. Strained Vs Unstrained Si Channel By appling the stress on the Si the lattice constant of Si changes and so we have to use SiGe below the strained Si as shown in fig.6, so that there are no dislocations in the structure explained by Kim et al. [21] and Batwani et al. [22]. Fig.6 Unstrained Si (top) and Strained Si (bottom) The stress applied to Si channel lifts band degeneracies, causes band warping and hence results in carrier effective mass change. From the mass-mobility relation we have:
  • 5. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2339 | P a g e μ= 𝑒 𝜏 𝑚∗ 𝜇 Where m* is the effective mass, is the relaxation time and μ is the mobility. So as the effective mass reduces the mobility increases. In this way by using stressed Si, the mobility in the channel can be in- creased. Fig.7 Dual-material Gate-all-around strained Si MOSFET Nuo [25] suggested the Strained Si MOSFET as the next generation MOSFET by simulating the results for different gate structures.Gate-all-around MOSFET along with the benefits of dual-material and the strained Si model is the proposed one and is shown in fig.7. IV. CONCLUSION AND FUTURE WORK The scaling of CMOS transistors has driven the tremendous growth of the semiconductor indus- try. As described by various authors CMOS is reach- ing its limits. In this review paper all models derived till now has been discussed along with their limits. A work can be proposed for modeling of a SOI MOSFET using DM Gate-All-Around Structure with stressed III-V group materials for channel including the QME. This proposed model could replace the CMOS when the limit is reached. REFERENCES [1] S. M. Kang, “Chip Input and Output (I/O) Circuits,” in CMOS Digital Integrated Cir- cuits, 3rd edition, Ed. New York: McGraw Hill, 2012, pp. 576-81. [2] Bob Ulicki, “SOI Fundamentals”, presented at SOI Consortium, march 2009. [3] A. Choudhary, “Analytical Modeling and Simulation of Short-Channel Effects in a Fully Depleted Dual-Material Gate (DMG) SOI MOSFET,” Master Thesis, IIT, Delhi, Dec-2003. [4] A. K. Kushwaha, “On the Modeling of Dual Material Double-gate Fully Depleted Silicon on Insulator MOSFET,” PhD Thesis, NIT, Kurukshetra, 2011. [5] A. Chaudhary, S. Sangwan, J.N. Roy, “Mo- bility Models for Unstrained and Strained Silicon MOSFETS: A review,” journal of Comtemporary Engineering Sciences, Vol. 4, No.5, 2011, pp. 229-247. [6] G. E. Moore, “Cramming more Components onto Integrated Circuits,” Electronics letter, Vol. 38, No. 8, April 19, 1965. [7] International Technology Roadmap for Sem- iconductors. Website: http://www.itrs.net/Links/2011ITRS/2011C hapters/2011ERD.pdf [8] lihui Wang, “Quantum Mechanical Effects on MOSFET scaling limits,” PhD Thesis, Georgia Institute of Technology, 2006. [9] A. Chaudhary and J.N. Roy, “MOSFET Models, Quantum Mechanical Effects, Modelling Approaches: A review,” Journal of Semiconductor technology and Science, Vol. 10, No. 1, 2010. [10] H. Abebe and E. Cumberbatch, “Quantum Mechanical Effect Correction Model for In- version Charge and Current-Voltage Charac- teristics of MOSFET Device,” in proc. of Nanotech Conference, Vol 2, 2003, pp. 218- 221. [11] B. Subrahmanyam, M. Jagadesh Kumar, “Recessed source concept in nanoscale ver- tical surrounding gate (VSG) MOSFETs for controlling short-channel effects,” journal of Physica E, vol. 41, 2009, pp. 671–676 [12] L. Perron, C. hamagucchi, A. Lacaita, S. Maegawa, Y. Yamaguchi, “Dynamic Float- ing body effect in PD SOI MOSFETs biased in Kink region,” Osaka University, 2008. [13] C. Tinella1, F. Gianesello, D. Gloria1, C. Raynaud, P. Delatte, A. Engelstein, J.M. Fournier, Ph. Benech, J. Jomaah, “Partially Depleted CMOS SOI Technology for Low Power RF Applications,” presented at 13th GASS Symposium, Paris, 2005. [14] J. P. Colinge, “The New Generation if SOI MOSFETs,” Romanian Journal of Informa- tion science and technology, Vol. 11, 2008, pp. 3-15. [15] J. P. Colinge, “Multi-gate SOI MOSFETs,” journal of Microelectronic Engineering, vol. 84, 2007, pp. 2071–2076. [16] Jingbin Li, Thomas J. Walls, and Konstantin K. Likharev, “Nanoscale SOI MOSFETs: In Search for the best geometry,” Storny Brook University, U.S.A. [17] D. Jimenez, J.J. Saenz, B. Iniguez, “Model- ing of Nanoscale Gate-All-Around MOSFETS,” IEEE Electron Device Letters, Vol. 25, No.5, 2004. [18] W. Long, H. Ou, J. M. Kuo, and K. K. Chin, “Dual material gate (DMG) Field Effect
  • 6. Sabina, Alok K. Kushwaha / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp 2335-2340 2340 | P a g e Transistor,” IEEE Transactions on Electron Devices, Vol. 46, pp. 865-870, 1999. [19] M.J. Kumar, A. Chaudhary, “Two- dimensional analytical modelling of fully depleted DMG SOI MOSFET and evidence for SCEs,” IEEE Transactions on Electronic Devices, Vol. 4, pp. 569-75, 2004. [20] T.K. Chiang, “A new compact subthreshold behavior model for dual material surround- ing gate (DMSG) MOSFETs,” Journal of Solid-state electronics, Vol. 53, 2009, pp. 490-496. [21] K. Kim, O. Kwon, J. Seo and T. Won, “Two-Dimensional Quantum-Mechanical Modeling for Strained Silicon Channel of Double-Gate MOSFET,” Journal of the Ko- rean Physical Society, Vol. 45, December 2004, pp. S909_S913. [22] H. Batwani, M. Gaur and M. Jagadesh Ku- mar, “Analytical drain current model for na- noscale strained-Si/SiGe MOSFETs,” Inter- national Journal for Computation and Ma- thematics in Electrical and Electronic Engi- neering, Vol. 28, No. 2, 2009, pp. 353-371. [23] J. Walczak and B. Majkusiak, “Electron mobility and drain current in strained-Si MOSFET,” journal of telecommunication and information technology, 2007, Pages 84-87. [24] P. Ghosh, S. Haldar, R. S. Gupta, M. Gupta, “An analytical drain current model for dual material engineered cylindrical/surrounded gate MOSFET,” Journal of Microelectron- ics, Vol. 43, 2012, pp. 17–24. [25] Nuo Xu, “Effectiveness of Strain Solutions for Next-Generation MOSFETs,” PhD The- sis, University of California, Berkeley, Spring, 2012.