2690 IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 54, NO. 10, OCTOBER 2007
A Reliable Metric for Mobility Extraction
of Short-Channel MOSFETs
Simone Severi, Luigi Pantisano, Emmanuel Augendre, Enrique San Andrés, Pierre Eyben, and Kristin De Meyer
Abstract—When comparing the extracted carrier mobility of
long- and short-channel transistors, special consideration must be
given to the metallurgical gate length (L
met
), neglecting the im-
pact of source and drain junction profiles. L
met
can be identified
with nanometer precision by using RF split-C –V measurements,
and physical and electrical analysis can demonstrate the accu-
racy of the method. Another important parameter, the external
transistor resistance (R
sd
), can be identified with linear current
measurements of short-channel devices. However, it is important
to quantify the mobility dependence from the gate length in order
to obtain an accurate result. A method to estimate the electrical
field (E
eff
) of short-channel devices is proposed. The extracted
short-channel mobility shows a universal behavior identical to the
classical long-channel one.
Index Terms—Length and resistance measurements, MOSFET,
scattering.
I. INTRODUCTION
T
HE EXTRACTION of basic MOSFET parameters like
the effective channel length (L
eff
), the source/drain (S/D)
resistance (R
sd
) and the mobility of short-channel devices
is of fundamental importance for the analysis of advanced
CMOS technologies. In particular, this is the case for strain-Si
materials, ultrashallow junction and high-k dielectrics applica-
tions. The latest can induce mobility variations between long-
and short-channel devices attributed to the different dielectric
exposure to an oxygen rich/poor environment.
Several methods have been developed in the past to deter-
mine with fair accuracy both L
eff
and R
sd
. The difficulty lies
in the fact that these two parameters are correlated. When
extraction techniques based on the linear drain currents are
considered, generally, L
eff
and R
sd
are considered weakly V
g
dependent. The so-called L
array
methods [1], [2] are unstable
if a large range of gate lengths is considered and lead to high
uncertainties of the extracted values. However, more recently,
these methods have been successfully used both for modeling
Manuscript received October 18, 2006; revised May 29, 2007. The review of
this paper was arranged by Editor S. Kimura.
S. Severi, L. Pantisano, and P. Eyben, and K. De Meyer are with the
Interuniversity Microelectronics Center (IMEC), 3000 Leuven, Belgium.
E. Augendre is with Laboratoire d’Electronique et de Technologies de
l’Information du Commissariat à l’Energie Atomique (LETI-CEA), 38054
Grenoble, France.
E. San Andrés is with Universidad Complutense de Madrid (UCM), 28040
Madrid, Spain.
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TED.2007.904011
[9] and characterization of short-channel-strained Si devices
[10]. The use of a limited range of sub-100-nm gate-length tran-
sistors can greatly improve the extraction linearity. Techniques
such as the simple or modified shift and ratio methods [3], [4]
increase resolution and robustness. However, these methods are
expected to have accuracy not lower than 15 nm, not enough for
devices in the sub-100-nm range. All of these methods assume
a gate-length-independent mobility model which, in general, is
not verified for current technologies which use pocket implants.
This prevents an accurate extraction of L
eff
and R
sd
.
Capacitance measurement techniques allow gate-length ex-
traction without including any transistor conduction mecha-
nisms [5], [6]. Split inversion capacitance measurements [14]
of short-channel devices are usually considered, but the lack
of understanding on C
ov
, in particular of the inner (C
if
) and
parallel plate (C
pp
) components, has prevented accurate L
eff
extractions in sub-100-nm devices [7], [8]. Furthermore, with
the scaling of the physical oxide thickness and the increase in
gate leakage, the use of conventional split-C–V measurements
could lead to capacitance distortion and extraction inaccuracies.
In this paper, L
eff
is extracted using the novel RF-split-C–V
method [11] and correctly taking into account the parasitic
overlap contribution at flatband voltage V
fb
[15]. Scanning
spreading resistance measurements (SSRMs) and extensive
statistical analysis verify the consistency of the extraction. In
pockets implant technologies, R
sd
is overestimated by com-
monly used techniques due to the variation of mobility with
the gate length. We indicate with extensive measurements the
possibility to find more realistic values by measuring small
channel transistors at high effective fields. After L
eff
and R
sd
,
the mobility of short-channel devices is studied and the poten-
tial error attributed to measurements or extraction inaccuracies
is quantified. Finally, in the same spirit of Takagi’s model, an
effective field concept for short-channel devices is proposed.
II. EXPERIMENT
CMOS wafers processed with a shallow trench isolation
module were considered. The equivalent oxide thickness of
SiON (14% N) dielectric ranged between 1.5 and 2 nm.
Poly-Si was considered as gate electrode. For nMOS, the
poly-Si was predoped with phosphorous (P) and annealed
prior gate etch, while for pMOS, boron (B) was incorporated
during the highly doped drain (HDD) junctions implantation.
Lowly doped drain (LDD) and pocket implants were consid-
ered for both nMOS [arsenic (As) 1 keV 7 × 10
14
cm
-2
and
B 5 keV 5.5 × 10
13
cm
-2
, respectively] and pMOS (B 0.5 keV
7 × 10
14
cm
-2
and As 40 keV 3.5 × 10
13
cm
-2
, respectively).
0018-9383/$25.00 © 2007 IEEE