Fundamentals and extraction of velocity saturation
in sub-100nm (110)-Si and (100)-Ge
L.Pantisano, L.Trojman*, J.Mitard, B. DeJaeger, S.Severi, G.Eneman,
G.Crupi
+
, T.Hoffmann, I.Ferain*, M.Meuris, M.Heyns*
IMEC Kapeldreef 75 Leuven (Belgium), also *KU Leuven,
+
Univ. Messina, email pantisan@imec.be
Abstract
A novel RFCV-technique is applied to directly quantify the short
channel devices at high V
ds
, enabling parameter extraction like
velocity saturation and critical field. This technique is applied to
benchmark Si (110) and Si(100) as well as Ge devices.
Similarities and crucial differences between short channel
parameters in Si and Ge are discussed.
Introduction: mobility, velocity and short channel devices
Novel dielectric materials on Si or alternative substrates (Ge,
GaAs,…) are typically benchmarked by using the long channel
mobility u
eff
in linear regime (V
ds
=50mV) and the I
ON
-I
OFF
for
short channel devices (V
ds
≥ 1V) in saturation conditions. For any
gate length I
ON
/W=v*Q
inv
, where Q
inv
is the charge in the
inversion layer and v the carrier velocity. High mobility u
eff
is
desirable since u
eff
and v (i.e., I
ON
) are linked, at least at low
lateral field E
lat
where v ~ u
eff
*E
lat
. However when E
lat
>E
critical
the
v starts to saturate [1,2] and u
eff
is no longer a good metric for
performances. More in general short channel parameters like
metallurgical length (L
met
), v
sat
and mobility u
eff
at operating
conditions (V
ds
≥ 1) would better describe the device physics and
enable a proper comparison between different materials: this
fundamental link is still missing for novel substrate materials like
Si-(110) and Ge.
We previously reported [3] a technique to extract the short
channel electrostatics (L
met
and series resistance R
series
) and
mobility down to 50nm lengths. This paper expands on the
previous methodology and uses an original RFCV technique to
extract saturation velocities and critical fields at high V
ds
for short
channel devices. The fundamental link between v
sat
and u
eff
for
1.2nm EOT MOSFETs on Si ((100) and (110)) and Germanium
is reported and benchmarked.
Device fabrication
Conventional CMOS65 with 1.2nm SiON/poly-Si down to
L
poly
=50nm were considered as reference. Using the same doping
as CMOS65, N- and PFET were fabricated on the same wafer
with the same dielectric and gate electrode (HfSiON/TiN) with
L
gate
~70nm on both Si-(100) and Si(110) wafers [4]. Finally
planar Ge pFET were considered [5] with L
gate
down to 120nm
with Si-passivation layer and HfO
2
/TaN gate stacks. Note that
these devices were not optimized for best performance.
Short channel parameters at high V
ds
Key information on Ge short channel parameters can be extracted
from CV measurements, as in fig.1-3. Following a procedure
developed for standard poly-Si/SiON [3], good short channel
behavior can be demonstrated for our Ge samples (fig.1) with
high mobility (fig.2). Similar high mobility (200cm²/Vs) to the
ones of fig.2 was already reported [4] for (110)-Si pFET. Note in
Fig.3 the lower R
series
for Ge devices and a similar mobility
between pFETs on Ge(100) and Si(110).
Once the basic short channel properties are known (i.e., fig.1-3),
the transport properties at high V
ds
can be done, as discussed in
fig.4-6. The inversion capacitance C
inv
can be determined for all
V
ds
conditions (fig.4) and all the L
met
(fig.5) of interest using the
procedure of Fig.6. Note in fig.5 that the C
inv
is L
met
dependent
due to charge sharing. Since this is important only for
L
met
<100nm, in the following C
inv
will be assumed L-
independent. After R
series
normalization, the u
eff
= I
ds
L
met
/V
ds
WQ
inv
and v
sat
= I
ds
/WQ
inv
, where Q
inv
is the inversion charge (i.e.,
integration of C
inv
in fig.4-5). Contrary to previous v
sat
-extraction
proposed [2], [6], this technique is direct and enables a
simultaneous evaluation of both u
eff
and v
sat
in any bias condition
(i.e., V
gs
, V
ds
).
Velocity saturation in Si (110) and Ge
In fig.7 the v
sat
vs E
lat
is compared for HfSiON on Si(100) and
Si(110). Note v
sat
(110)pFET ~ v
sat
(100)nFET. Since the doping
and the gate stack are the same, the v
sat
increase is due to the Si
orientation itself. Fig.8 also demonstrates that Ge features a 2x
higher v compared to reference pFET on (100).
In the following we approximated E
lat
=V
ds
/L
met
. This is somewhat
a crude approximation, as confirmed by process and device
calibrated TCAD simulation (not shown) where the point-to-
point field along the channel can increase up to 10x close to the
drain (especially in long channels). However it can be shown that
the v
sat
-E
lat
trend shown in fig.7 for the SiON/poly-Si is correct
and thus the v
sat
and E
lat
should be considered as mean values.
Mobility and critical field – a perspective
For the first time the u
eff
vs. E
lat
in fig.9 and 10 shows
fundamental similarities and differences between Si and Ge.
Similar to Si [1,7], also for Ge the critical field E
critical
concept is
applicable. At low E
lat
the u
eff
is constant (i.e., Ohm’s law), while
at E
lat
>E
critical
u
eff
decreases (i.e., v starts to saturate – see fig.7,8).
An important difference between the high mobility Si (i.e., (110)-
pFET) and Ge samples is that for E
lat
>E
critical
u
eff
decreases faster
for Ge compared to Si.
A combined analysis of fig.7-10 demonstrates the advantage of
these novel techniques for benchmarking high mobility
substrates. When the pFET on Si (110) and Ge are considered
(see fig.11), the I
ON
on these devices should be similar (for a
given CET) since v
sat
is the same. However when the ON-OFF
switching is concerned (see fig.12), the u
eff
(Ge) decreasing faster
with E
lat
(compared to Si) implying that the velocity saturates at a
lower E
lat
thus yielding a slower switching speed.
While it’s not clear whether these properties of Ge pFETs are
linked to the fabrication process (possibly related to the S/D
region germanidation) or a fundamental limit of the Ge itself,
these pFET in Si-(110) seem superior to these Ge samples.
Summary and Conclusions
A direct extraction of velocity and mobility at high V
ds
for sub-
100nm MOSFETs has been demonstrated using a modified
RFCV technique. This technique enables the benchmarking of
very different MOSFET technologies (Ge and Si(110)) with
respect of carrier velocity and mobility. Saturation velocities are
very similar for pFET Ge and pFET Si (110), suggesting similar
I
ON
drivability (2x compared to pFET on Si(100)). However Ge
samples seem to reach velocity saturation at lower lateral fields
thus possibly limiting the switching speed.
References
[1] Taur, Ning, Fundamentals of Modern VLSI devices, Cambridge
Press 1998; [2] Sodini et al TED 1984; [3] Severi et al, TED 2007;
[4] L.Trojman et al, INFOS 2007; [5] G.Nicholas, TED 2007 p.2503;
[6] Lochtfeld, Antoniadis EDL 2001 p95; [7] Coen, Muller, Sol.
State El. 23 p35-40; [8] E. San Andrés, EDL 2006;
978-1-4244-1805-3/08/$25.00 © 2008 IEEE 2008 Symposium on VLSI Technology Digest of Technical Papers 52