Microelectronic Engineering 86 (2009) 2078–2085
Contents lists available at ScienceDirect
Microelectronic Engineering
journal homepage: www.elsevier.com/locate/mee
Improving bulk FinFET DC performance in comparison to SOI FinFET
Mirko Poljak *, Vladimir Jovanović 1, Tomislav Suligoj 2
Department of Electronics, Microelectronics, Computer and Intelligent Systems, Faculty of Electrical Engineering and Computing, University of Zagreb,
Unska 3, HR-10000 Zagreb, Croatia
a r t i c l e
i n f o
Article history:
Received 2 October 2008
Received in revised form 19 December 2008
Accepted 25 January 2009
Available online 1 February 2009
Keywords:
Body-tied
Corner effect
Double-gate MOSFET
FinFET
Silicon-on-insulator (SOI)
Short-channel-effect (SCE)
a b s t r a c t
The implementation of FinFET structure in bulk silicon wafers is very attractive due to low-cost technology and compatibility with standard bulk CMOS in comparison with silicon-on-insulator (SOI) FinFET. SOI
and bulk FinFET were analyzed by a three-dimensional numerical device simulator. We have shown that
bulk FinFET with source/drain-to-body (S/D) junctions shallower than gate-bottom has equal or better
subthreshold performance than SOI FinFET. By reducing S/D junction depth, fin width scaling for suppression of short-channel-effects (SCEs) can be relaxed. On-state performance has also been examined and
drain current difference between the SOI and bulk FinFET at higher body doping levels has been explained
by investigating enhanced conduction in silicon-oxide interface corners. By keeping the body doping low
and junctions shallower than the gate-bottom, bulk FinFET characteristics can be improved with no
increase in process complexity and cost.
Ó 2009 Elsevier B.V. All rights reserved.
1. Introduction
Semiconductor industry faces rising challenges as CMOS scales
down to the 45 nm technology node and beyond. Among the most
important challenges are short-channel-effects (SCEs) which are
caused by the decreased gate control of the channel. These problems can be overcome by either introducing new materials (e.g.
in the gate stack) or by introducing new device architectures. Double-gate MOSFETs have shown excellent down-scaling characteristics and high-performance when compared to the conventional
single-gate device structures, due to better gate controllability of
the channel. FinFET, a self-aligned double-gate transistor, is the
most viable implementation of double-gate MOSFET structure because of its simplicity and compatibility with conventional planar
CMOS technology [1]. FinFET is an attractive candidate to either
succeed bulk CMOS technology at the end-of-scaling or to be integrated with bulk CMOS in various applications, e.g. NAND flash
memories [2]. Although mainly fabricated on silicon-on-insulator
(SOI) substrates where they have demonstrated excellent subthreshold characteristics [3,4], bulk or body-tied FinFET has also
gained attention mainly due to its ability to be integrated with
standard bulk CMOS technology [5,6]. SOI FinFETs have some disadvantages over bulk FinFETs such as high wafer cost, high defect
* Corresponding author. Tel.: +385 1 6129564; fax: +385 1 6129653.
E-mail addresses: mirko.poljak@fer.hr (M. Poljak), vladimir.jovanovic@fer.hr
(V. Jovanović), tomislav.suligoj@fer.hr (T. Suligoj).
1
Tel.: +385 1 6129671; fax: +385 1 6129653.
2
Tel.: +385 1 6129898; fax: +385 1 6129653.
0167-9317/$ - see front matter Ó 2009 Elsevier B.V. All rights reserved.
doi:10.1016/j.mee.2009.01.066
density, heat transfer problems and may suffer from floating body
problem. Also, bulk FinFET shows better immunity to negativebias-temperature (NBT) stress [7]. Clearly, it is useful and costeffective to implement FinFET technology on bulk silicon wafer if
its characteristics can match those of SOI FinFET devices.
In this paper, the characteristics of bulk FinFET are analyzed by
3D device simulation and compared with SOI FinFET. The goal of
such comparison is to find the bulk FinFET structure for a 45 nm
technology node with comparable or better characteristics than
the SOI counterpart (with identical geometrical dimensions) which
would not demand additional complex process steps. Furthermore,
the effects specific to bulk FinFET structure and its electrostatic
behavior are examined, especially investigating the subthreshold
region which is crucial for low standby power (LSP) applications,
and the saturation region which is cruical for high-performance
(HP) applications [8–10]. The influence of different fin widths,
source/drain-to-body (S/D) junction depths, body doping and bias
on transistor characteristics is analyzed.
2. Device structure and numerical simulations
Bulk FinFET and SOI FinFET structures are analyzed and compared by using 3D numerical device simulator [11]. Fig. 1a and b
show 3D illustrations of both structures, while cross-sectional
views are shown in Fig. 1c. We assumed p-type body with variable
doping, source and drain regions doped with 1020 cm 3, abrupt
source and drain junctions (with variable junction depths in the
case of bulk FinFET), n+ polysilicon gates doped with 1020 cm 3,
gate oxide thickness (tgox) of 2 nm and top-gate oxide thickness
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
2079
Fig. 1. Bird’s eye view of 3D illustration of (a) SOI FinFET and (b) bulk FinFET. Fin to body connection can be seen in (b) which explains the name body-tied or bulk FinFET.
Misalignment between gate-bottom and S/D junction depth is designated Dxj. (c) 2D cross-section along transistor gate of bulk and SOI FinFET structures.
of 35 nm, i.e. devices are effectively double-gated since the influence from the top-gate is effectively nullified. Fin height (Hfin)
and gate length (Lg) are set to 50 nm with variable fin widths (Wfin).
With small S/D-to-gate overlap, effective channel length is 45 nm.
Bottom oxide (BOX) thickness in the case of SOI. FinFET and the
isolation oxide thickness in the case of SOI FinFET and the isolation
(oxide between the gate polysilicon and the substrate) are set to
50 nm. Concerning bulk FinFETs, misalignment between the bottom of the gate electrode and source/drain-to-body junction depth
is designated Dxj; if the junction is deeper (shallower) than the
bottom of the gate, then Dxj > 0 (Dxj < 0).
The transport model which is used for simulations is based on
the drift-diffusion formalism with trap-assisted and band-to-band
tunneling included in the Shockley-Read-Hall recombination. We
used concentration-dependent mobility model which includes
the effect of impurity scattering, and the mobility model developed
by Hewlett–Packard which takes into account dependence on electric fields both parallel and perpendicular to the direction of current flow [12]. Therefore, the classical models are used in the
simulation, although the effects of mobility dependence on fin
width [13] or carrier energy quantization [14,15] can be expected
in the actual structure. However, such analyses are valid for qualitative discussion and relative comparison of the performance of
bulk and SOI FinFET structures.
3. Results and discussion
3.1. Fin width and S/D junction depth influence
The influence of gate-bottom to junction depth misalignment
was examined in two directions: deeper junctions (when the gate
does not control the whole channel) and shallower junctions
(when the gate controls the whole channel and a portion of the
fin beneath the channel). Simulated transfer characteristics are
shown in Fig. 2 for SOI FinFET and bulk FinFET with source/drain
junction depths extended underneath the gate by Dxj = 0 nm
(gate-bottom aligned to the junction depth) and Dxj = 20 nm. SOI
FinFET has drain-induced barrier lowering (DIBL) of 61.8 mV/V
and subthreshold swing of 86.3 mV/dec, whereas bulk FinFET with
junctions aligned to the bottom of the gate has DIBL of 67.3 mV/V
and S of 95 mV/dec. The higher S and DIBL of bulk FinFET with
junction depths corresponding to the bottom of the gate by
10.1% and 8.9%, respectively, can be attributed to higher dielectric
constant of depleted silicon compared to SiO2, which guides the
drain electric field towards the source underneath the gate. The
gate-induced drain leakage is responsible for the current increase
in accumulation. An increase of the source/drain junction depths
by Dxj = 20 nm with respect to the bottom of the gate deteriorates
bulk FinFET characteristics greatly; having DIBL of 210.9 mV/V and
S of 249.5 mV/dec, due to low gate controllability of the bottom of
Fig. 2. Transfer characteristics for three examined structures. Subthreshold performance of bulk FinFET with junction depths aligned to gate-bottom (Dxj = 0) is
close to that of SOI FinFET, whereas deeper junctions increase leakage and
deteriorate DIBL and subthreshold swing.
the channel. This can be explained from the 3D and 2D cross-sectional potential contour plot in Fig. 3 where it is clearly seen that
the potential barrier between the source and drain in the fin below
the bottom of the gate is lower and thinner for bulk FinFET with
Dxj = 20 nm compared to SOI FinFET and bulk FinFET with
Dxj = 0 nm, especially at the silicon-oxide interface below the gate.
This causes the boost of subthreshold current and, as a consequence, the deterioration of DIBL and subthreshold swing. It can
be noted that, from the results in Fig. 3, SOI FinFET and bulk FinFET
with Dxj = 0 nm have similar potential distribution and, hence, almost identical subthreshold characteristics. The simulated output
characteristics for the three examined structures are shown in
Fig. 4. The output characteristics are closely spaced with bulk FinFET output resistance decreasing as junction depth is increasing,
due to DIBL effect. The bulk FinFET has good performance in saturation regardless of source/drain junction depth. The on-state currents, at VGS = VDS = 1.2 V, are around 140 lA, for the fin height of
50 nm. On-state current per channel width in this case is a little
under 1.4 mA/lm (depending on fin width since the channel width
is W = 2 Hfin + Wfin), which is still far above the requirements for
LSP applications stated in ITRS [9]. All these results show the
importance of process variation control when the alignment between the gate-bottom and junction depth is concerned.
The idea of making the S/D-to-body junctions shallower so that
the polysilicon gate electrode controls the whole channel and part
of the fin under the active area comes from the P-gate FinFET
structures. P-gate FinFETs are only fabricated in SOI wafers and
they owe their name to the shape of the gate which resembles
2080
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
Fig. 3. 3D and 2D cross-sectional potential contour plots at threshold (VGS = 0.2 V, VDS = 1.2 V) for (a) SOI FinFET, (b) bulk FinFET with S/D junction depth misalignment of
Dxj = 0 nm and (c) Dxj = 20 nm. With deeper junctions, potential barrier between the source and drain is lowered. Lg = Hfin = 50 nm, Wfin = 20 nm.
Fig. 4. Comparison of output characteristics for three examined structures.
Saturation performance of all devices is good having drive current around 150 lA
with Hfin of 50 nm.
Fig. 5. DIBL versus fin width for SOI FinFET and for bulk FinFET with different S/D
junction depths. DIBL is extracted as (VTH,LIN VTH,SAT)/DVDS at ID = 10 6 A. Shallower
junctions improve DIBL of bulk FinFETs for all fin width values.
the Greek letter P since the polysilicon gate penetrates into the
bottom-oxide making the gate-bottom deeper than the silicon
fin. P-gate devices have shown excellent SCE control [16]. Depen-
dences of DIBL and S on fin width for different structures with a
misalignment Dxj as a parameter are shown in Figs. 5 and 6,
respectively. An increase in S and DIBL for all structures with
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
Fig. 6. Subthreshold swing versus fin width for SOI FinFET and for bulk FinFET with
different S/D junction depths. S is extracted at VDS = 1.2 V.
increasing Wfin is caused by the decreased gate control in wider
fins. It can be noted that bulk FinFETs with wider fins are more sensitive to S/D junction depth; deeper junctions can deteriorate and
shallower junctions can improve device characteristics substantially. Bulk FinFET with Dxj = 10 nm (shallower junctions) has
equal or even better subthreshold performance than the SOI FinFET, especially in the case of wider fins, e.g. Wfin = 36 nm. The
trade-off between Wfin and Dxj and their impact on DIBL and S
are shown in Figs. 7 and 8, respectively, with the marked region
showing Wfin and Dxj values needed for achieving low swing S
and DIBL. Bulk FinFET with shallower junctions has good subthreshold performance even with wider fins. Therefore, fin width
does not have to be scaled as aggressively as previously proposed
[17,18] to suppress SCE since there is a simpler way to improve
the subthreshold performance.
Deeper gate electrode (shallower junctions) has an enhanced
control over the bottom of the fin and its electrostatic control
serves as a punch-thorough stopper which enhances the device
subthreshold performance. Shallower S/D junctions are easily
accomplished in fabrication, e.g. by regulating the parameters of
implantation of S/D regions. With no new masks required, and a
simple requirement on the S/D implantation, shallower junctions
for the enhancement of the device characteristics presents only a
minor change of the fabrication process. Due to this fact, bulk
FinFET becomes an eligible candidate for standard bulk CMOS integration, and an excellent candidate for BiCMOS integration with
Fig. 7. Sensitivity of DIBL of bulk FinFET to fin width and junction depth
misalignment. Structures with shallower junctions and narrower fins have lower
DIBL.
2081
Fig. 8. Sensitivity of subthreshold swing of bulk FinFET to fin width and junction
depth misalignment. Structures with shallower junctions have lower S. Structures
with wider fins are more sensitive to junction depth misalignment.
pillar-like bipolar transistors [19]. Since the bottom of the gate
electrode serves as a punch-through stopper, no n+ implanted region in the bottom of the fin is needed to suppress the leakage,
which was used for FinFET optimization in [20,21]. The implantation of punch-through stopper is difficult to optimize, especially
in the case of higher fins, and it necessarily adds to the process
complexity. Another problem with the punch-through stopper is
the parasitic capacitance it introduces into the structure which
could decrease device performance in high-frequency applications.
From the above, it is clear that the reduction of S/D junction depth
is an effective way to improve device subthreshold performance.
Shallower junctions increase the channel resistance which deteriorates the saturation performance. Therefore, an optimization of
junction depth with respect to channel resistance and on-state current is necessary at each technology node. We believe that this is
not a problem having in mind that the currents of 1.4 mA/lm were
obtained in simulations whereas the ITRS requirements on saturation current for LSP (HP) applications are under 0.7 mA/lm
(1.5 mA/lm) even for the 20 nm technology node.
3.2. Body doping influence
Bulk FinFET with Wfin = 16 nm and Dxj = 10 nm is compared to
SOI FinFET with identical geometrical dimensions by analyzing the
influence of body doping (NB) on device characteristics. These particular devices were examined due to almost identical subthreshold behavior, hence allowing only the influence of body doping
to be investigated. Saturation and linear threshold voltage dependence on body doping is shown in Figs. 9 and 10, respectively,
for two examined structures. Threshold voltage was extracted at
ID of 1 lA and VDS of 0.1 V (linear threshold voltage, VTH, LIN) and
1.2 V (saturation threshold voltage, VTH, SAT). Since n+ polysilicon
gates are used in simulations, threshold voltages are negative for
low and medium body doping values, increasing from approxito
200 mV
for
mately
150 mV
for
NB = 1015 cm 3
18
3
NB = 5 10 cm . Threshold voltage of both devices is rather
insensitive to body doping up to NB = 1017 cm 3, but it can be noted
that the bulk FinFET exhibits more sensitivity to body doping than
the SOI FinFET. Bulk FinFET threshold voltage, both in saturation
and linear region, is larger than that of SOI FinFET because of its
body-tied structure. Namely, the potential in the fin body around
the bottom of the gate is influenced by the grounded substrate
which lowers the potential of that region, thus increasing the barrier between the source and drain which leads to small increase of
threshold voltage. We note that the difference in threshold voltage
between the SOI and the bulk FinFET increases from the case of lin-
2082
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
Fig. 9. Saturation threshold voltage versus body doping for SOI FinFET and bulk
FinFET with Dxj = 10 nm. VTH,SAT is defined at ID = 10 6 A and VDS = 1.2 V.
Lg = Hfin = 50 nm, Wfin = 16 nm.
Fig. 10. Linear threshold voltage versus body doping for SOI FinFET and bulk FinFET
with Dxj = 10 nm. VTH,LIN is defined at ID = 10 6 A and VDS = 0.1 V. Lg = Hfin = 50 nm,
Wfin = 16 nm.
ear (10–40 mV) to the case of saturation threshold voltage (20–
70 mV), due to slightly higher DIBL of the SOI FinFET. Negative
threshold voltage in case of low body doping is not acceptable
for most CMOS applications, but this can be overcome by either
gate engineering, i.e. using gate material with a proper work-function, or higher channel doping. The modified gate-stacks allow the
lightly doped channel to be kept, benefiting carrier mobilities. The
adjustment of threshold voltage by increasing channel doping
introduces threshold voltage variations due to lack of doping control in extremely scaled channels. However, before new gate-stacks
are used in FinFET devices, channel doping may be used to set the
threshold voltages to desired values.
For all channel doping cases, the bulk FinFET has lower DIBL values than the SOI FinFET, as presented in Fig. 11. Both structures
demonstrate low DIBL, less than 40 mV/V, with difference of
around 5 mV/V in favor of the bulk FinFET. Transfer characteristics
for different body doping values at VDS = 1.2 V are shown in Fig. 12,
where it can be noted that the subthreshold swing is nearly the
same for both structures and that it does not change significantly
with increased body doping. Output characteristics in Fig. 13 for
VTH as a parameter
the same two body doping values and VGS
show higher drain currents in the case of SOI FinFET. Also, increased body doping affects the bulk FinFET more than the SOI Fin-
Fig. 11. DIBL versus body doping for SOI FinFET and bulk FinFET with Dxj = 10 nm.
Both devices display excellent subthreshold performance with DIBL under 40 mV/V.
Fig. 12. Comparison of transfer characteristics of SOI FinFET and bulk FinFET with
Dxj = 10 nm for two different body doping values at VDS = 1.2 V. Subthreshold
swings are identical while bulk FinFET has slightly higher threshold voltage.
Fig. 13. Comparison of output characteristics of SOI FinFET and bulk FinFET with
Dxj = 10 nm for two different body doping and for VGS VTH of 0.5 and 1 V. High
body doping deteriorates the on-state current more in the case of bulk FinFET than
in the case of SOI FinFET.
FET. As the body doping is increased from 1016 cm 3 to
5 1018 cm 3 drain current decreases due to mobility degradation
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
2083
Fig. 14. 3D and 2D cross-sectional potential contour plots at threshold (VGS = 0.2 V, VDS = 1.2 V) for SOI FinFET and bulk FinFET with Dxj = 10 nm. For both structures
NB = 1016 cm 3, Lg = Hfin = 50 nm, Wfin = 16 nm. In the case of low body doping, electrostatic behavior is approximately the same in both devices.
Fig. 15. 3D and 2D cross-sectional potential contour plots at threshold (VGS = +0.2 V, VDS = 1.2 V) for SOI FinFET and bulk FinFET with Dxj =
NB = 5 1018 cm 3, Lg = Hfin = 50 nm, Wfin = 16 nm.
with higher impurity scattering, but the decrease is more severe in
the case of bulk FinFET where the decrease is up to 28%, for VGS
VTH = 1 V. This can be explained by the electric potential distribution in the channel shown by potential contour plot in 3D and
2D cross-sectional views along the channel in Figs. 14 and 15, for
body dopings of 1016 cm 3 and 5 1018 cm 3, respectively. At lower doping values, potential distribution in the channel is nearly
identical for both structures. Source-to-drain potential barrier is
10 nm. For both structures
the same at the top and at the bottom of the channel and both devices have nearly identical current–voltage characteristics. For
high doping level, the bending of the energy bands in the channel
region is more significant and the inversion layer is confined closer
to the gate oxide interface. At the corners of the silicon fin, the electric field is coupled to the silicon layer also through the top and
bottom isolation oxide layers, resulting in higher inversion charge
in these regions. The consequence is the corner effect, where the
2084
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
Fig. 16. 3D and 2D cross-sectional current density plots for SOI FinFET and bulk FinFET with Dxj = 10 nm. Both structures have NB = 5 1018 cm
Wfin = 16 nm. VGS = +0.2 V, VDS = 1.2 V. The difference in on-state currents from Fig. 13 is obviously caused by the corner effects.
current crowding appears in the fin corners, as evident from
Fig. 16. In the case of the SOI FinFET, the current is pushed to four
corners, whereas there are only two corners with increased current
flow in the bulk device. With less significant corner effect, the bulk
FinFET requires higher gate voltage to generate the same inversion
charge for the high body doping case, which causes slightly higher
threshold voltage. Higher gate voltage and electric field perpendicular to the current flow causes the electrons in the bulk FinFET to
have lower mobility compared to its SOI counterpart resulting in
lower on-current. In the case of low body doping, the corner effect
is minimal as the additional coupling of the gate produces no significant difference in the potential distribution over the whole fin
region in either device. Therefore, in order to obtain nearly the
same saturation characteristics of the bulk FinFET as in the SOI device, the bulk FinFET should have a lightly doped or undoped body,
whereas the threshold voltage control should be given over to metal gate with proper work function. This is fortunate from the process complexity point of view. In combination with shallower S/D
junctions, which enhance the device performance, lightly doped or
intrinsic transistor body would benefit drive capabilities of the
bulk FinFET. Also, low body doping can alleviate discrete impurities
problem and other high body doping related problems in extremely thin fins [22].
3
, Lg = Hfin = 50 nm,
equal or better than the SOI counterpart. Using shallower junctions
as a punch-through stopper discards the need for the highly doped
region in the bottom of the fin which benefits the process cost and
complexity. As far as the authors know, this paper is the first report
of improvement of the bulk FinFET subthreshold performance in
comparison to SOI FinFET without using punch-through stopper
implantation. Method of reduction of SCEs with shallower S/D
junctions is expected to work even for devices with gate lengths
under 50 nm, but an additional optimization must be carried out
with respect to channel series resistance at each technology node.
The on-state performance of the SOI and the bulk FinFET has also
been examined and compared. The higher drain current in case
of the SOI FinFET with high body doping is caused by the corner effect, which effectively increases the inversion charge for the same
gate voltage. In order to obtain nearly identical on-state performance as the SOI device, the bulk FinFET body should be lightly
doped or intrinsic (which benefits the device drive capabilities)
and the threshold voltage adjustment should be carried out by
the metal gate with proper work-function.
Acknowledgements
This work was sponsored by the Ministry of Science, Education
and Sports of the Republic of Croatia under contracts 0360361566-1567 and 036-0982904-1642.
4. Conclusion
References
Bulk FinFET subthreshold characteristics can be improved by
reducing S/D junction depth with respect to the bottom of the gate
which also relaxes the demand on fin width scaling for suppression
of SCEs, and improving the bulk FinFET performance to become
[1] D. Hisamoto, L. Wen-Chin, J. Kedzierski, H. Takeuchi, K. Asano, C. Kuo, et al.,
IEEE Transactions on Electron Devices 47 (12) (2000) 2320–2325.
[2] S.-K. Sung, S.-H. Lee, B.-Y. Choi, J.J. Lee, J.-D. Choe, E.S. Cho, et al., in: VLSI
Technology Symposium 2006, Digest of Technical Papers, 2006, pp. 86–87.
M. Poljak et al. / Microelectronic Engineering 86 (2009) 2078–2085
[3] Y. Bin, C. Leland, S. Ahmed, W. Haihong, S. Bell, Y. Chih-Yuh, et al., in: IEDM
2002, Digest of Technical Papers, 2002, pp. 251–254.
[4] A. Bansal, S. Mukhopadhyay, K. Roy, IEEE Transactions on Electron Devices 54
(6) (2007) 1409–1419.
[5] T.-S. Park, S. Choi, D.-H. Lee, U.-I. Chung, J.T. Moon, E. Yoon, et al., Solid-State
Electronics 49 (3) (2005) 377–383.
[6] T.-H. Hsu, T. Lue, Y.-C. King, J.-Y. Hsieh, E.-K. Lai, K.-Y. Hsieh, et al., IEEE Electron
Device Letters 28 (5) (2007) 443–445.
[7] H. Lee, C.-H. Lee, D. Park, Y.-K. Choi, IEEE Electron Device Letters 26 (5) (2005)
326–328.
[8] M. Poljak, V. Jovanović, T. Suligoj, Technological constraints of bulk
FinFET structure in comparison with SOI FinFET. Proceeding of ISDRS
2007 International Semiconductor Device Research Symposium on CD: WP906-06.
[9] International Technology Roadmap for Semiconductors (ITRS), 2007 Edition.
<www.itrs.net>.
[10] T. Skotnicki, C. Fenouillet-Beranger, C. Gallon, F. Boeuf, S. Monfray, F. Payet,
et al., IEEE Transactions on Electron Devices 55 (1) (2008) 96–130.
[11] Davinci User Guide W-2004.09, Synopsys Inc., 2004.
[12] K.M. Cham, S.Y. Oh, D. Chin, J.L. Moll, Computer-aided Design and VLSI Device
Development, Kluwer Academic Publishers, Norwell, 1986.
2085
[13] D. Esseni, M. Mastrapasqua, G.K. Celler, C. Fiegna, L. Selmi, E. Sangiorgi, IEEE
Transactions on Electron Devices 50 (3) (2003) 802–808.
[14] W. Hu, X. Chen, X. Zhou, Z. Quan, L. Wei, Microelectronics Journal 37 (2006)
613–619.
[15] M. Poljak, P. Biljanović, T. Suligoj, Comparison of 1D and 2D model of quantum
effects in the simulation of sub-50 nm double-gate MOSFETs. Proceedings of
MIPRO International Convention MIPRO, 2007, pp. 78–83.
[16] J.-T. Park, J.-P. Colinge, IEEE Transactions on Electron Devices 49 (12) (2002)
2222–2229.
[17] X. Huang, W.-C. Lee, C. Kuo, D. Hisamoto, L. Chang, J. Kedzierski, et al., IEEE
Transactions on Electron Devices 48 (2001) 880–886.
[18] G. Pei, J. Kedzierski, P. Oldiges, M. Ieong, E. Chih-Chuan Kan, IEEE Transactions
on Electron Devices 49 (8) (2002) 1411–1419.
[19] T. Suligoj, J.K.O. Sin, K.L. Wang, IEEE Transactions on Electron Devices 52 (7)
(2005) 1392–1398.
[20] C.R. Manoj, M. Nagpal, D. Varghese, V.R. Rao, IEEE Transactions on Electron
Devices 55 (2) (2008) 609–615.
[21] M. Nawaz, S. Decker, L.-F. Giles, W. Molzer, T. Schulz, Microelectronic
Engineering 85 (2008) 1529–1539.
[22] P. Dollfus, A. Bournel, S. Galdin, S. Barraud, P. Hesto, IEEE Transactions on
Electron Devices 51 (5) (2004) 749–756.