along the channel. An analytical flicker noise model to account
for a pocket doping effect is proposed. In our model, the local
threshold voltage and the width of the pocket implant region are
extracted from the measured reverse short-channel effect, and
the oxide trap density is extracted from a long-channel device.
Good agreement between our model and the measurement result
is obtained without other fitting parameters.
Index Terms—Flicker noise, modeling, nonuniform threshold
voltage, pocket implant.
I. I
NTRODUCTIONT
HE CMOS technology, which possesses the advantage of
low cost, high integration, and low power, is finding more
and more important applications in the area of mixed mode
and RF ICs. As compared with bipolar transistors, CMOS
de-vices exhibit large noise, especially in the low-frequency region
where flicker noise is dominant [1]. Flicker noise will affect the
signal-to-noise ratio in operational amplifiers and in
analog/dig-ital and diganalog/dig-ital/analog converters. Phase noise of
voltage-trolled oscillators originating from flicker noise is another
con-cern for RF applications [2]. In order to reduce low-frequency
noise in analog devices, the physical origin of flicker noise in
today’s CMOS devices should be further explored.
Pocket implantation is necessary in CMOS process to reduce
the subthreshold leakage in logic devices. However, it has some
drawbacks in analog circuits, such as the increase of
drain-sub-strate coupling, poor Early voltage, lower high-frequency
output resistance [3] and increased nonlinearity [4]. Recent
study has shown that pocket implantation will also degrade
drain current flicker noise [3]–[7]. New MOSFET structures,
such as single pocket, asymmetric channel structure, [3], [5]
Manuscript received October 15, 2003; revised March 2, 2004. This work was supported in part by the National Science Council of Taiwan, R.O.C., under Contract NSC92-2215-E009-024 and in part by Taiwan Semiconductor Manu-facturing Company. The review of this paper was arranged by Editor M. J. Deen. J.-W. Wu, C.-C. Cheng, J.-C. Guo, and T. Wang are with the Department of Electronics Engineering, National Chiao-Tung University, Hsinchu 300, Taiwan, R.O.C.
K.-L. Chiu is with United Microelectronics Corporation, Hsinchu 300, Taiwan, R.O.C.
W.-Y. Lien and C.-S. Chang are with the Taiwan Semiconductor Manufac-turing Company, Hsinchu 300, Taiwan, R.O.C.
G.-W. Huang is with the National Nano Device Laboratories, Hsinchu 300, Taiwan, R.O.C.
Digital Object Identifier 10.1109/TED.2004.831369
additional oxide trap creation by pocket implantation [7], the
real cause of pocket implantation induced noise degradation
is still not clear. The purpose of this paper is to investigate
pocket implantation effect on flicker noise in nMOSFETs with
various pocket doses and device dimensions. An analytical
flicker noise model taking into account a pocket doping effect
will be proposed.
The input/output nMOSFETs of a 0.13- m CMOS
tech-nology is used in this work. The I/O devices have a 5.8-nm gate
oxide, a gate length from 0.22 to 10 m, and a gate width of 10
m. Two pocket implant doses were used. Due to the statistical
nature of the flicker noise, devices with too small an area may
exhibit a large fluctuation range in noise [8]. In this paper, each
noise measurement data point represents an average of three
to ten devices. The normalized noise power spectrum density
is chosen as a monitor of drain current noise, which
is considered to be a fair index because of the normalization
to the drain current. In addition, charge pumping measurement
is performed to characterize oxide (interface) trap density for
different pocket implant splits.
According to the unified flicker noise model [9], the
normal-ized noise power spectrum density
has the following
simple analytic form at very low drain voltages:
(1)
where
cm
is the attenuation coefficient of the
elec-tron wave function in the oxide [10],
is the scattering
coeffi-cient [11],
is the number of channel carriers per unit area,
and
is the oxide trap density at the Fermi level
.
The
term in the bracket represents charge number
fluc-tuation and the
term is from mobility fluctuation. For
nMOS-FETs at a low gate overdrive bias,
is smaller than
,
which means that the number fluctuation mechanism dominates
noise behavior.
II. M
EASUREMENTR
ESULT ANDD
ISCUSSIONFig. 1 shows the diagram of an nMOSFET with pocket
implantation. Pocket implantation will cause nonuniform
threshold voltage distribution along the channel and may create
additional oxide traps
near the source/drain edge. According
Fig. 1. Diagram of pocket implant-induced nonuniform threshold voltage distribution along the channel. Regions 1 and 3 are the pocket implant-affected region and possess a higher threshold voltage. Region 2 represents the rest of the channel.
Fig. 2. Reverse SCE for low/high pocket doses.
to (1), both nonuniform
distribution and oxide trap creation
affect drain current flicker noise. Two pocket implant doses
are compared in this study. The higher pocket dose is about
2.2 times larger than the lower one. Fig. 2 shows the reverse
short-channel effect (RSCE) of nMOSFETs of the two doses.
As expected, the higher pocket implant dose shows a larger
RSCE. The short-channel effect (SCE) becomes dominant for a
gate length below 0.3 m. The measured noise behavior of these
two pocket implant splits is shown in Fig. 3. The comparison is
made at the same gate overdrive voltage (
–
). To avoid the
complication resulting from the SCE in the analysis of noise,
two gate lengths
and 10 m) in the RSCE regime
are used for study. The noise is measured in linear operation
regime
V) that the inversion charge is not affected by
the drain bias. The noise data point shown in Fig. 3 is obtained
at
Hz. For a long-channel device [
m,
Fig. 3(a)], the noise of the two different pocket split devices
is almost the same without regard to a considerably different
pocket dosage. Fig. 3(b) shows the noise in two shorter gate
length
m devices with the same pocket split.
The higher pocket dose device apparently exhibits much worse
noise behavior in the entire range of gate bias. Fig. 4 shows the
measured flicker noise versus gate length for the two pocket
dosages. The pocket implant-induced noise degradation is more
significant in a shorter gate length device because the pocket
implant region occupies a larger portion of the channel.
Fig. 3. Normalized noise power spectrum density versus gate overdrive voltage(V –V ) for low/high pocket doses. The noise is measured in the linear regime. (a) nMOS(W=L = 10=10 m), and all data points are averaged from three devices. (b) nMOS(W=L = 10=0:32 m), and all data points are averaged from ten devices.
Fig. 4. Normalized noise power spectrum density versus gate length for low/high pocket doses. The noise is measured at the same gate overdrive voltage.
Previous work attributed the severe noise degradation in a
pocket-implanted device to more oxide trap creation due to
pocket implant [12]. In order to clarify this point, we measured
the charge pumping current for the two pocket splits. Nearly
the same result is obtained in Fig. 5 with extracted interface
trap density about
cm . This implies that the
two implant splits yield almost the same trap density in gate
oxide. Thus, the more severe noise degradation in the higher
pocket dose device in Fig. 3(b) cannot be explained simply
by implant caused oxide trap creation. Rather, a nonuniform
threshold voltage distribution along the channel resulting from
pocket implant should be responsible for the observed noise
degradation. A simple analytic model is proposed to explain a
nonuniform threshold voltage effect on noise degradation.
III. N
OISEM
ODELINGI
NCLUDINGP
OCKETI
MPLANTIn our model, the channel of an nMOSFET is divided into
three regions, as suggested in [13], [14]. Regions 1 and 3 in
Fig. 1 represent a pocket region, where the local threshold
voltage (
) is increased due to pocket implantation. Region 2
represents the rest of the channel and possesses a lower
. In
our model, the
is divided into three terms by introducing
the nonuniform
distribution into the
term. At a
rela-tively low gate overdrive bias, the mobility fluctuation term in
(1) can be neglected. In addition, since the oxide (interface)
trap density is not affected by pocket implantation process, a
uniform distribution of oxide trap density along the channel is
assumed. Based on these assumptions, (1) can be reduced to
(2)
where
and
represent conducting charge density in region
1 and region 3, which are modulated by pocket implant dosage.
In the long-channel devices
m , the noise
compo-nent arising from the pocket implantation regions is relatively
small. This argument is evident from Fig. 3(a) that the noise
is nearly the same for different pocket splits in long-channel
devices. In other words, the second term in (2), i.e.,
re-gion, is dominant in a long-channel device. From the measured
noise and threshold voltage in a long-channel device, the oxide
trap density
can be extracted. The result is shown in
Table I. The measured and calculated results of noise level in a
long-channel device are shown in Fig. 6. Good agreement
be-tween our model and measurement result is achieved in a low
Fig. 6. Comparison of calculated and measured noise results for nMOS with W=L = 10=10 m. (a) Low pocket dose. (b) High pocket dose.
gate overdrive voltage regime where the number fluctuation is
dominant.
For noise calculation in short-channel devices, the respective
parameters in the pocket region must be extracted first. The
ef-fective channel length is about
m, which
is evaluated from the shift and ratio method [15]. The width and
the local
of the pocket regions can be extracted from the
mea-sured RSCE by using the method in [16] and [17]. The extracted
parameters used in our model are given in Table I. The measured
and calculated results in 0.32 m devices are shown in Fig. 7.
No other fitting parameters are used.
It should be remarked that a small difference between
mod-eled and measured results is noticed in Figs. 6 and 7 at a higher
gate overdrive bias. The reason is that the mobility fluctuation
mechanism
plays a part in drain current noise at a high
gate overdrive bias.
Fig. 7. Comparison of calculated and measured noise results for nMOS with W=L = 10 m=0:32 m. (a) Low pocket dose. (b) High pocket dose.
IV. C
ONCLUSIONPocket implantation effect on drain current flicker noise in
nMOSFETs is investigated. The result shows that nonuniform
threshold voltage distribution along the channel caused by
pocket implantation is responsible for flicker noise degradation
in a short-channel device. This effect will become more
signif-icant as channel length is further reduced. A simple analytical
noise model including pocket implantation effect for various
gate length devices has been developed and can be easily
implemented into a circuit simulator.
R
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Jun-Wei Wu (S’02) was born in Tao-Yuan, Taiwan,
R.O.C. He received the B.S. degree in electronics en-gineering, in 1998, from National Chiao-Tung Uni-versity, Hsinchu, Taiwan, where he is currently pur-suing the Ph.D. degree in electronics engineering.
His research interest includes RF CMOS device modeling, flicker noise characterization and mod-eling, and LDMOS power device modeling and reliability analysis.
Chih-Chang Cheng received the B.S. degree in
physics from National Central University, Taoyuan, Taiwan, R.O.C., in 2002. He is currently pursuing the Ph.D. degree in electronics engineering at the National Chiao-Tung University, Hsinchu, Taiwan.
His research interest includes high-voltage power devices and flicker noise.
Kai-Lin Chiu was born in Kaohsiung, Taiwan,
R.O.C. in 1978. He received the B.S. and M.S. degree, in electronics engineering from National Chiao-Tung University, Hsinchu, Taiwan, in 2001 and 2003, respectively.
In 2004, he joined United Microelectronics Cor-poration, Hsinchu, where he was engaged in the de-velopment and characterization of mixed-mode tech-nology. His research interests includes the reliability issues and analog performance of CMOS.
in ERSO/ITRI and working on the process simulation and device design for high-speed SRAM technology. From 1994 to 1998, she was with Macronix International Corporation where she was engaged in the high-density and low-power Flash memory technology development and led a team responsible for Flash memory device design and reliability analysis. In 1998, she joined Vanguard International Semiconductor Corporation, where she served as a De-partment Manager responsible for advanced DRAM device design with a major focus on 0.18–m 64-M DRAM development. In 2000, she joined Taiwan Semiconductor Manufacturing Company, where she served as a Program Man-ager in charge of 0.1-m logic CMOS FEOL technology development. Since 2001, she has been engaged in HPA and RF CMOS technology development, and led a team focusing on 0.13-m CMOS-based mixed-signal and RF device design. She has authored or coauthored around 30 technical papers and has been granted about ten international patents in her professional field. Her current research interests are RF CMOS and HPA device design and modeling, novel nonvolatile memory technology, and circuit technology for SoC.
Wai–Yi Lien was born in Taiwan, in 1963. He
received the Ph.D. degree in power mechanical engineering from National Tsing-Hua University, Hsinchu, Taiwan, R.O.C., in 1995.
He joined the Logic Technology Division, Taiwan Semiconductor Manufacturing Company Ltd., Hsinchu, in 1995. He has done extensive research in DRAM, mixed signal and RF processes of CMOS technology, and 3-D electromagnetic simulation on RF passive components.
Gou-Wei Huang was born in Taipei, Taiwan,
R.O.C., in 1969. He received the B.S. degree in electronics engineering and the Ph.D. degree from National Chiao-Tung University, Hsinchu, Taiwan, in 1991 and 1997, respectively.
He joined National Nano Device Laboratories, Hsinchu, in 1997 as an Associate Researcher. His current research interests focus on microwave device design, characterization, and modeling.
Tahui Wang (M’86–SM’94) was born in Taoyuan,
Taiwan, R.O.C., on May 3, 1958. He received the B.S.E.E. degree from National Taiwan University, Taipei, in 1980 and the Ph.D. degree in electrical engineering from the University of Illinois, Ur-bana-Champaign, in 1985.
From 1985 to 1987, he was with Hewlett-Packard Laboratories, Palo Alto, CA, where he was engaged in the development of GaAs HEMT devices and cir-cuits. Since 1987, he has been with the Department of Electronics Engineering, National Chiao-Tung Uni-versity, Hsinchu, Taiwan, where he is currently a Professor. His research inter-ests include hot-carrier phenomena characterization and reliability physics in VLSI devices, RF CMOS devices and nonvolatile semiconduct or devices.
Dr. Wang was given the Best Teacher Award by Taiwan’s Ministry of Ed-ucation. He has served as technical committee member of many international conferences, among them IEDM, IRPS, and VLSI-TSA.