ARTICLE IN PRESS
Materials Science in Semiconductor Processing 11 (2008) 285–290
Contents lists available at ScienceDirect
Materials Science in Semiconductor Processing
journal homepage: www.elsevier.com/locate/mssp
Stress analysis of Si1xGex embedded source/drain junctions
M. Bargallo Gonzalez a,b,, E. Simoen a, N. Naka c, Y. Okuno d, G. Eneman a,b,e,
A. Hikavyy a, P. Verheyen a, R. Loo a, C. Claeys a,b, V. Machkaoutsan f,
P. Tomasini g, S.G. Thomas g, J.P. Lu h, R. Wise h
a
IMEC, Kapeldreef 75, B-3001 Leuven, Belgium
EE Department, KU Leuven, B-3001 Leuven, Belgium
HORIBA Ltd., Miyanohigashi, Kisshoin, Minami-ku, 601 Kyoto, Japan
d
Panasonic (IMEC), Kapeldreef 75, B-3001 Leuven, Belgium
e
Research Foundation-Flanders (FWO), Belgium
f
ASM Belgium, Kapeldreef 75, B-3001 Leuven, Belgium
g
ASM America, 3440 East University Dr., Phoenix, AZ, USA
h
Texas Instruments, 13121 TI Blvd, Dallas, TX 75243, USA
b
c
a r t i c l e in fo
abstract
Available online 17 November 2008
The purpose of this paper is to evaluate the impact of the geometry of embedded
Si1xGex source/drain junctions on the stress field. Stress simulations were performed
using TSUPREM4 2D software to further investigate the elastic strain relaxation as a
function of Si1xGex alloy active size, in the regime where no plastic relaxation is
present. Moreover, the role of the epilayer thickness and the Ge content on the stress
levels is also discussed. The work is complemented with experimental Raman
spectroscopy.
& 2008 Elsevier Ltd. All rights reserved.
Keywords:
Strain engineering
pMOSFETs
Embedded source/drain regions
Epitaxial deposition
Process simulation
Raman spectroscopy
1. Introduction
The uniaxial compressive stress in the channel induced
by Si1xGex in the source/drain (S/D) regions, which has
been grown by selective epitaxial growth, is promising for
strained channel pMOSFETs device design [1,2]. However,
a major concern is the channel stress optimization with
the device scaling planned by the ITRS roadmap [3]. This
stress leads to a higher low-field mobility, which yields a
drive current enhancement [2]. Furthermore, the use of
embedded SiGe reduces the S/D resistance [2]. This work
is focused on the impact of the Ge content, the epitaxial
layer thickness and the active-area dimensions on the
stress levels present in Si1xGex alloys, in the regime
where no plastic strain relaxation is present [4]. The stress
analysis is evaluated for fully strained Si1xGex/Si hetero-
Corresponding author at: IMEC, Kapeldreef 75, B-3001 Leuven,
Belgium. Tel.: +32 16 281098; fax: +32 16 281706.
E-mail address:
[email protected] (M. Bargallo Gonzalez).
1369-8001/$ - see front matter & 2008 Elsevier Ltd. All rights reserved.
doi:10.1016/j.mssp.2008.09.013
epitaxial device structures by two theoretical approaches
and comparison with experiments. First, the misfit strain
is calculated based on the standard elasticity theory
model. Second, a stress simulation using TSUPREM4 2D
[5] is performed in order to investigate the impact of the
geometry on the stress field present in the Si1xGex alloys.
Finally, a Raman spectroscopy analysis is added to the
study.
2. Simulation setup
The lattice constant of Si1xGex alloys is larger than the
one for bulk Si. The difference in the lattice parameter
creates a biaxial in-plane compressive stress in the
Si1xGex epilayer and a tensile extension perpendicular
to the interface when considering an ideal [1 0 0] surface.
The geometrical impact on the sxx stress component in
the [11 0] direction in the Si1xGex layer for Si1xGex/Si
heterostructures is evaluated using the TSUPREM4 software [5] developed by SYNOPSYS. Two-dimensional (2D)
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Fig. 1. Schematic cross-section of the simulated stress levels for a Si0.6Ge0.4/Si heterostructure with an active length w ¼ 1 mm and an epitaxial thickness
t ¼ 120 nm, isolated with a 1 mm long and 300 nm deep shallow trench isolation box. The analysis of the geometrical impact on the simulated stress levels
of Si1xGex/Si heterostructures is performed for four different Ge contents considering an active length between 300 nm and 10 mm and an epitaxial
thickness between 40 and 160 nm.
%Ge Content vs Mismatch Stress
4x109
σ (Pa) = 9.3*107 %Ge
3.5x109
3x109
2.5x109
σ (Pa)
stress simulations have been performed based on a 1 mm
wide n-doped Si substrate, with P and As n-well
implantations, resulting in a donor doping density of
1017 cm3. The Si trenches were considered between 40
and 160 nm etch depth, and were refilled by selective
epitaxial growth (SEG) of in-situ highly boron-doped SiGe
epitaxial layers with a Ge content of 10%, 20%, 30% and
40%, and B levels of 1 1020 cm3. An active length
between 300 nm and 10 mm is considered. The heterostructure is isolated with a 1 mm long and 300 nm deep
shallow trench isolation (STI) box (see Fig. 1). Negative
stress values refer to compressive stress, and positive
stress values indicate tensile.
2x109
1.5x109
1x109
5x108
3. Experimental conditions
Stress simulations are complemented with Raman
spectroscopy experimental results. The spectroscopic
analysis was performed on embedded Si1xGex S/D
junctions fabricated on 300 mm n-type Czochralski
silicon wafers. Active area regions were defined by
STI followed by P and As n-well implantations. Before
the epitaxial deposition an HF dip followed by an H2
bake at 850 1C for 2 min was carried out in order to
remove native oxide. Subsequently 100 or 150 nm in-situ
highly boron-doped Si0.75Ge0.25 epitaxial layers were
selectively grown using an ASM Epsilons 3200 reactor,
reaching B levels up to 5 1019 cm3 (evaluated by a
spreading resistance probe). No implantation, nor
anneal, was done after the epitaxial deposition.
Another important observation is that no dislocations
were detected by Nomarski optical microscopy,
showing no evidence of plastic relaxation in the studied
samples.
The Raman measurements were done in backscattering
geometry on a HORIBA Jovin Yvon LabRam HR-800 microRaman system using the 488 nm line of an argon ion laser
(0.5 mW) as an excitation source. Laser plasma lines were
used for peak shift correction. It should be noted that the
penetration depth of 488.0 nm is 150–200 nm in SiGe.
Hence, the obtained measurements enabled us to characterize the effective stress in both the SiGe alloy and the
Si substrate.
0x100
0
5
10
15
20
25
%Ge content
%Ge
10
20
30
40
GPa
0.93
1.86
2.79
3.72
30
35
40
Fig. 2. Predictions of the %Ge content dependence of the mismatch
stress for fully strained Si1xGex/Si(1 0 0) heterostructures.
4. Results and discussion
4.1. Standard elasticity theory model
For Si1xGex alloys the biaxial in-plane stress or lattice
mismatch stress (s) is given by [4,6]
s ¼ ½2Gð1 þ uÞ=ð1 uÞ
(1)
where G is the shear modulus and n the Poisson ratio of
the Si1xGex alloy, and e the elastic strain, which can be
expressed as a function of the lattice mismatch f, the
dislocation density r and the effective component of the
Burger’s vector beff as [7]
jj ¼ f rbeff
(2)
In the regime where no defect injection and plastic strain
relaxation are present (r ¼ 0), no impact of the epilayer
thickness on the mismatch stress levels is expected for t
below the metastable critical thickness. In addition, in this
study where the B concentration is less than 1%, it is
assumed that boron doping does not introduce a significant
variation of the biaxial compressive stress [8].
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The misfit parameter associated with a Si1xGex
epilayer on Si describes the elastic strain and can be
calculated from the Ge content x in % and Vegard’s law
[4,6,7]. A more accurate approach, also considering
the thermal expansion at 300 K, is given as f(x)E0.041x/
100 [6].
287
Using standard values for Si1xGex alloys (G ¼ 64 GPa
and u ¼ 0.28) [6], high mismatch stress levels are
obtained for fully strained Si1xGex/Si(1 0 0) heterostructures (Fig. 2), which according to the model are independent of the film thickness.
Fig. 3. Simulated stress profiles for the sxx stress component in the [11 0] direction across the pattern for 100 nm recess depth and (a) 500 nm and (b)
5 mm active size. The finite element simulations are based on Fig. 1. The stress values were taken at a depth of 50 nm.
Fig. 4. Simulated stress profiles for the sxx stress component in the [11 0] direction as a function of epitaxial thickness for (a) 300 nm, (b) 500 nm, (c) 1 mm
and (d) 5 mm active size. The finite element simulations are based on Fig. 1. The stress values were taken in the middle point of the two-dimensional
simulated Si1xGex layer.
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The degree of elastic relaxation as a function of the
SiGe window size was calculated as 1sxx/s0xx, where sxx
is the simulated stress value in the middle point of the 2D
SiGe layer, and s0xx is the mismatch stress for fully
strained Si1xGex/Si(1 0 0) heterostructures (Fig. 5). The
4.2. Stress simulations
The geometrical impact on the stress levels of Si1xGex/
Si heterostructures is studied as the distribution of the sxx
stress component in the [11 0] direction (Fig. 1). The
simulated stress profiles for 100 nm recess depth along
the 500 nm and 5 mm windows (Fig. 3) show a decrease of
the compressive stress level at the edges of the SiGe
stressors. This effect leads to a marked reduction of the
stress levels for sub 5 mm wide Si1xGex windows.
Simulation results for the sxx stress component as a
function of the epitaxial thickness are shown in Fig. 4.
A clear decrease of the stress levels with epitaxial
thickness is observed for window sizes lesser than 5 mm.
Furthermore, this trend is more pronounced for increased
Ge content. For window sizes larger than 5 mm, the
simulated stress becomes independent of the film thickness. For such windows, good quantitative agreement
between elastic theory (Fig. 2) and simulated stress values
is observed. It should be noted that in order to evaluate
the stress field in the Si channel for embedded SiGe S/D
technology, additional considerations need to be taken
into account, such as the fact that an increase of lateral
etching leads to a higher channel stress [3].
Fig. 6. Typical Raman spectrum for 100 and 150 nm in-situ highly borondoped Si0.75Ge0.25 epitaxial layers, reaching B levels 5 1019 cm3.
10% Ge :σ0XX = 0.93 GPa
20% Ge : σ0XX = 1.86 GPa
Elastic Relaxation (%)
1 - (σXX/σ0XX)
1
1
40nm
60nm
80nm
100nm
120nm
140nm
160nm
0.8
0.6
0.4
0.6
0.4
0.2
0.2
0
1
Active Size (µm)
10
0
1
Active Size (µm)
30% Ge : σ0XX = 2.79 GPa
Elastic Relaxation (%)
1 - (σXX/σ0XX)
10
40% Ge : σ0XX = 3.72 GPa
1
1
40nm
60nm
80nm
100nm
120nm
140nm
160nm
0.8
0.6
0.4
40nm
60nm
80nm
100nm
120nm
140nm
160nm
0.8
0.6
0.4
0.2
0
40nm
60nm
80nm
100nm
120nm
140nm
160nm
0.8
0.2
1
Active Size (µm)
10
0
1
Active Size (µm)
10
Fig. 5. Elastic relaxation as a function of active size for the stress component sxx in the [11 0] direction using TSUPREM4 2D simulations for (a) 10%,
(b) 20%, (b) 30% and (d) 40% Ge content. The finite element simulations are based on Fig. 1. The stress values were taken in the middle point of the twodimensional simulated Si1xGex layer.
ARTICLE IN PRESS
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obtained elastic relaxation profile shows a clear dependence on the active area size for windows smaller than
5 mm. This result is in excellent agreement with previously
289
published work [9], where HR-XRD analysis showed a
window size dependence of the elastic relaxation for
active areas smaller than 5 mm2.
Fig. 7. Step scan measurements for the four different peaks shift at three different wafer positions, extracted from a 488 nm excitation line, for the studied
100 nm in-situ highly boron-doped Si0.75Ge0.25 epitaxial layers, across the horizontal component of a 4.5 31 mm2 pattern.
Si-Si in Si Substrate
Si-Si in SiGe
511.5
100 nm
150 nm
520.6
Peak Shift (cm-1)
Peak Shift (cm-1)
520.8
520.4
520.2
520
519.8
100 nm
150 nm
511
510.5
510
509.5
509
508.5
508
519.6
3x3
30x30
50x50
70x70 100x100
3x3
Window Size (µm2)
50x50
70x70 100x100
Window Size (µm2)
Ge-Ge in SiGe
Si-Ge in SiGe
294
412
100 nm
150 nm
411.5
Peak Shift (cm-1)
Peak Shift (cm-1)
30x30
411
410.5
410
409.5
409
100 nm
150 nm
293
292
291
290
289
288
408.5
3x3
30x30
50x50
70x70 100x100
Window Size (µm2)
3x3
30x30
50x50
70x70 100x100
Window Size (µm2)
Fig. 8. Comparison of mean of peak shift in spot measurements as a function of window size, for the studied 100 and 150 nm in-situ highly boron-doped
Si0.75Ge0.25 epitaxial layers. The measurements were done in the center of the window.
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Another important observation is that the compressive
biaxial in-plane stress in the Si1xGex epitaxial layer
translates into reactive forces on the top of the underlying
silicon substrate, leading to a biaxial tensile stress in the
upper part of the silicon substrate (Fig. 1).
4.3. Raman spectroscopy analysis
A typical Raman spectrum of in-situ boron-doped
Si0.75Ge0.25 epitaxial layers is shown in Fig. 6. The three
peaks in the proximity of 300, 400 and 500 cm1
wavenumbers correspond to the Ge–Ge, Si–Ge and Si–Si
Raman modes, respectively [8,10,11]. It should be noted
that the peak position of the Raman spectrum has a
relation to stress or strain of Si and SiGe. If there is tensile
stress/strain in Si or SiGe, the peak position shifts to lower
wavenumber, while if there is compressive stress/strain, it
shifts to higher wavenumber.
Line scan measurements were performed across a
Si0.75Ge0.25:B window, whose dimensions are 4.5 31 mm2
(Fig. 7). The measurements reveal higher elastic relaxation
at the edges of the SiGe layer. This observation is in perfect
agreement with the simulation results. Furthermore, a
lower effective tensile stress at the edges of the pattern is
also observed at the top layer of the silicon substrate, from
the peak shift related to the stress-free Si–Si bond in the Si
substrate (520.5 cm1). However, the effective tensile
stress at 1 mm from the edges of the window shows a
significant increase (Fig. 7). Therefore, it is expected that
the stress level distribution in the Si substrate as a
function of the active area size requires a different
approach, which is not the purpose of the present paper.
Finally, the size dependency of the effective stress
levels in different geometries is observed in Fig. 8, where
the peak shifts were obtained from spot measurements.
The results show lower effective compressive stress in the
SiGe alloy for the smallest windows of 3 3 mm2, no big
impact of the size is observed for bigger windows. This
observation is in good agreement with the simulation
work and previously published data [9,12]. However, no
strong impact of the epilayer thickness is observed in the
studied samples from Raman analysis. Surprisingly, the
effective tensile stress levels in the Si substrate show an
opposite trend than the compressive stress in the SiGe
overlayer, which points to a higher stress level for smaller
window sizes.
5. Conclusion
In summary, a decrease of the effective compressive
stress levels at the edges of the Si1xGex alloys is revealed
in this work. This effect leads to a marked impact on the
stress levels and elastic relaxation for sub 5 mm wide
Si1xGex active areas. Moreover, this dependence is
substantially increased with the increase of the epitaxial
thickness. No elastic strain relaxation was detected for
window sizes bigger than 5 mm width. Finally, it is
concluded that TSUPREM4 2D simulations are a useful
technique to assess the stress levels with device scaling
along the ITRS roadmap.
Acknowledgement
The European Commission is acknowledged for financial support within the frame of FP6 IP PULLNANO IST026828.
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