tutorial

IBM Research
Reliability of advanced CMOS
devices and circuits
James H. Stathis
IBM Thomas J. Watson
Research Center
Yorktown Heights, NY
© 2009 IBM Corporation
1
IBM Research
CMOS Scaling Rules
Voltage, V / α
WIRING
tox/α
W/α
GATE
n+
source
n+
drain
L/α
p substrate, doping α*NA
SCALING:
Voltage:
V/α
Oxide:
tox /α
Wire width: W/α
Gate width: L/α
Diffusion: xd /α
Substrate: α NA
2
xd/α
R. H. Dennard et al.,
IEEE J. Solid State Circuits, (1974).
RESULTS:
Higher Density: ~α2
Higher Speed: ~α
Power/ckt:
~1/α2
tox scaling required
for short channel control
Power Density: ~Constant
© 2009 IBM Corporation
IBM Research
CMOS Scaling Rules
Voltage, V / α
WIRING
tox/α
W/α
GATE
n+
source
n+
drain
L/α
p substrate, doping α*NA
SCALING:
Voltage:
V/α
Oxide:
tox /α
Wire width: W/α
Gate width: L/α
Diffusion: xd /α
Substrate: α NA
3
11Å
xd/α
R. H. Dennard et al.,
IEEE J. Solid State Circuits, (1974).
RESULTS:
Higher Density: ~α2
Higher Speed: ~α
Power/ckt:
~1/α2
tox scaling required
for short channel control
Power Density: ~Constant
© 2009 IBM Corporation
IBM Research
CMOS Scaling Rules
Voltage, V / α
WIRING
tox/α
W/α
GATE
n+
source
n+
drain
L/α
p substrate, doping α*NA
SCALING:
Voltage:
V/α
Oxide:
tox /α
Wire width: W/α
Gate width: L/α
Diffusion: xd /α
Substrate: α NA
4
11Å
xd/α
R. H. Dennard et al.,
IEEE J. Solid State Circuits, (1974).
RESULTS:
Higher Density: ~α2
Higher Speed: ~α
Power/ckt:
~1/α2
tox scaling required
for short channel control
Power Density: ~Constant
¾ Approaching atomistic and
quantum-mechanical boundaries
¾ Atoms are not scalable!
© 2009 IBM Corporation
IBM Research
NiSi
Device Scaling
ƒ Conventional bulk device
or partially-depleted SOI
(PDSOI)
– Aggressive gate dielectric
scaling for improved
short channel control
– Increased random doping
fluctuations due to width
and length scaling
– Spacer thickness
decreasing
• Becoming comparable to old
gate dielectric thickness
(~10nm)
5
BandPoly
edge
Gate
gate
Gate Oxide
NiSi
Extension
Extension SOI Extension
Embedded
Halo
Stressor
tSi
BOX
Si substrate
Node
Device
Pitch (nm)
45
170-180
32
120-130
22
80-100
15
65-80
11
50-65
© 2009 IBM Corporation
IBM Research
CMOS Scaling:
Oxide electric field increasing
10
Field driven
wearout
increasing
9
7
6
45 nm
5
100
- ΔVmax (mV)
Field (MV/cm)
8
4
3
2
1
0
1980
350 nm
4
1985
1990
1995
2000
year published
source: IEDM and VLSI
6
65 nm
2005
6
8
10
Eoxide (MV/cm)
ƒestimated NBTI at 10 years
Eox = (Vgate / telectrical) = (CV/ε)
© 2009 IBM Corporation
IBM Research
Major MOSFET oxide failure mechanisms
ƒ Bias/Temperature Instability
– NBTI
– PBTI
ƒ Dielectric Breakdown
7
© 2009 IBM Corporation
IBM Research
Negative-bias-temperature instability
8
© 2009 IBM Corporation
IBM Research
Negative-bias-temperature instability
pFET on-state
VDD
0v
9
VDD
Bias conditions during circuit operation of
a CMOS inverter. With input at Ground,
output is High and the p-MOS device
(top) is under uniform negative gate bias
with respect to its substrate.
© 2009 IBM Corporation
IBM Research
Negative-bias-temperature instability
pFET on-state
Thermal activation (~0.2eV)
VDD
0v
10
VDD
Bias conditions during circuit operation of
a CMOS inverter. With input at Ground,
output is High and the p-MOS device
(top) is under uniform negative gate bias
with respect to its substrate.
© 2009 IBM Corporation
IBM Research
Negative-bias-temperature instability
pFET on-state
Thermal activation (~0.2eV)
VDD
0v
11
VDD
Bias conditions during circuit operation of
a CMOS inverter. With input at Ground,
output is High and the p-MOS device
(top) is under uniform negative gate bias
with respect to its substrate.
ƒ
Believed to be caused by an electrochemical reaction with a hydrogen related
species in the oxide, reacting with holes in the pfet channel.
ƒ
First described by Miura and Matukura. Jpn. J. Appl. Phys., vol. 5, p. 180,
1966.
1966
© 2009 IBM Corporation
IBM Research
Negative-bias-temperature instability (NBTI)
0.02
– PFET threshold voltage shift
-ΔVt (V)
ƒ Basic features:
(a)
nitrided oxide
SiO2
0.01
• negative threshold voltage (Vt) shift
• interface states and positive oxide charge
Æ drive current reduction
Æ circuit speed reduction
0.00
0
4x10
4
4
8x10
time (sec)
– Power law time dependence
10
-1
– Nitrided oxide has larger shift and
shallower slope
• Nitridation of gate oxide makes it worse
ƒ “The Negative Bias Temperature Instability in MOS Devices: A
Review”, J.H. Stathis and S. Zafar, Microelectronics Reliability,
46, 270-286 (2006).
12
-ΔVt (V)
(b)
10
-2
10
-3
10
nitrided oxide
SiO2
-4
10
1
2
3
10
10
10
time (sec)
4
10
5
© 2009 IBM Corporation
IBM Research
NBTI
ƒ “PBTI” is a Vt shift observed
under positive bias
(i.e., in n-FET)
– Not seen in SiO2/poly under normal
use conditions
abs(ΔVt) at 100 s (V)
“PBTI” in high-k NFET
10
PBTI
-1
SiO2/HfO2/TiN
(tHfO2= 2.2 nm)
10
-2
SiON/poly-Si
(tSiON= 1.3 nm)
SiON/poly-Si
(tSiON= 1.3 nm)
2.2nm
10
-3
-3
-2
-1
0
1
2
3
Vg-VT (V)
3
2
ΔVt @ Qinj = 10 C/cm (V)
– Charge trapping in high-k layer
0.16
Vg = 2.2 V
0.14
0.12
0.10
0.08
0.06
0.04
Vg = 1.8 V
0.02
0.00
0.0
0.5
1.0
1.5
2.0
2.5
3.0
HfO2 Thickness, tHfO2 (nm)
ƒ S. Pae et al.,
IRPS 2008.
ƒ
13
A. Kerber et al., to be published, IEEE
Trans. Dev. and Mater. Reliab.
© 2009 IBM Corporation
IBM Research
NBTI and PBTI in SRAM
NBTI
VDD
BR
BL
PL
‘1’
‘1’
PR
AXL ‘0’ VL
WL
ƒ Static noise
margin analysis
(butterfly curve)
NL
‘1’
VR ‘1’ AXR
NR
PBTI
14
© 2009 IBM Corporation
IBM Research
Effect of PBTI on SRAM
Initial SNM
Vt increase in one nfet
– Worst case degradation,
SNM decreases
Vt increase in both nfets
– SNM better than asymmetric case
– Not worst-case
ƒ
15
J.C. Lin, et al., IRPS 2007.
© 2009 IBM Corporation
IBM Research
Effect of combined NBTI & PBTI
ƒ Relative sensitivity:
– SRAM cell is ~2x more
sensitive to PBTI compared
to NBTI
ƒ Symmetric degradation of
cells leads to little increase in
failure probability
– Worst case is asymmetric
PBTI degradation
1,000
Typical design
corner
2
1.8
1.6
1.4
1.2
1
0.8
0
0.5
1
WW
1.5
::W
W
PR
PL,PR
2
2.5
# of faulty cells in 100MB memory
)
δVt,PR
δSNM/δV/t,NL
(ΔSNM(δ/SNM/
ΔVt,PBTI
) :):((ΔSNM
ΔV
t,NBTI)
2.2
T=85oC and Vdd=0.9V
ΔVt,PR=50mV
100
ΔVt,PR=100mV
Worst case
10
Sym. effect
1
NL
NL,NR
0.1
0
ƒ A. Bansal et al., IRPS 2009.
16
ΔVt,PR=0
20
40
60
ΔVt,NL [mV]
80
100
© 2009 IBM Corporation
IBM Research
Oxide breakdown
ƒ Defect generation leading to breakdown
Critical
defect
density
(NBD)
ƒ R. Degraeve et al., TED 45, 904 (1998).
17
© 2009 IBM Corporation
IBM Research
Statistical Distribution of Breakdown
ƒ Time-to-Breakdown (TBD), or Charge-to-Breakdown
(QBD), is a statistically distributed quantity
– Random defect generation
ƒ The Weibull Distribution is an ‘extreme value’
distribution in ln(x) and is appropriate for a
‘‘weakest-link’’ type of problem.
– The weakest link in a chain controls the failure of the whole
chain
– If any one spot on a dielectric breaks, the entire device is
broken
– If any transistor fails, the whole circuit or chip fails
18
© 2009 IBM Corporation
IBM Research
ƒE.Y. Wu et al. Semic. Sci. Technol 15, 425 (2000).
Weibull Distribution
FBD (t ) = 1 − e
⎛ t ⎞
⎟⎟
−⎜⎜
⎝ T63 ⎠
β
ƒ F is the cumulative failure probability, i.e., the population
fraction failed by age x, where x can be either charge or time.
ƒ The characteristic life T63 corresponds to the charge or time
where 63.2% of samples fail, and β is called the slope
parameter, or Weibull slope.
ƒ Plotting W≡ln[-ln(1-F)] against ln(x) gives a straight line with
slope β.
19
© 2009 IBM Corporation
IBM Research
Thickness-dependent Weibull slope
a0/2
ƒ “Percolation” model
tox
ƒ Defects generated randomly in oxide until a conducting
(“percolating”) path is formed
– Widely accepted, common to all physical models of defect generation
ƒ Explains thickness-dependent NBD and Weibull slope
ƒ
Random defect generation
ƒ
Connection from one electrode toward the other
ƒ R. Degraeve et al., IEDM 1995, p. 866.
20
ƒJ. H. Stathis, J. Appl. Phys. 86, 5757 (1999).
© 2009 IBM Corporation
IBM Research
“Progressive” (gradual) breakdown
Defect Current (A)
ƒ Gate breakdown is not a sudden, catastrophic
process.
ƒ It occurs gradually, over a measurable time scale.
100.0µ
PFET, -2.1 V, 1.5 nm
80.0µ
ƒ F. Monsieur et al.,
60.0µ
ƒ
40.0µ
ƒ
20.0µ
ƒ
0.0
ƒ
3.6x106
3.8x106
4.0x106
4.2x106
Microelectron. Reliab. 41, 1035
(2001).
B.P. Linder et al., Electron Dev.
Lett. vol 23, p. 661 (2002).
T. Hosoi et al., IEDM 2002, pp.
155-158
F. Monsieur et al., IRPS2002
and IRPS2003.
B.P. Linder et al., IRPS 2003, p.
402.
Stress Time (s)
21
© 2009 IBM Corporation
IBM Research
Weibull distribution plus progressive breakdown
∞
f (t ) =
∫f
BD ( t
− Δt PBD ) f PBD ( Δt PBD )dΔt PBD
0
ƒ Convolution of
breakdown time
distribution
and
post-breakdown
growth time
distribution
¾ Curvature on
Weibull plot
ƒ S. Tous et al., Elec. Dev. Lett. 2008, p. 949.
22
© 2009 IBM Corporation
IBM Research
Post-breakdown growth time distribution
ƒ E. Wu et al., IEDM 2007, p. 493.
23
© 2009 IBM Corporation
IBM Research
Progressive breakdown implications
¾When does a circuit fail?
BD
BD
after T. Hosoi et al., SSDM 2002 pp. 155-158
24
© 2009 IBM Corporation
IBM Research
Transfer curves of inverters after oxide BD
(experiment and model)
positive stress
1.2
negative stress
-5
5
fresh
~10 ×V A
Vout (V)
0.8
-4
2
~10 ×V A
fresh
-4
-4
5
~10 ×V A
increasing
-V stress
3
~10 ×V A
0.4
-4
4
~10 ×V A
increasing
+V stress
-5
measured
model
5
~10 ×V A
0.0
0.0
0.4
0.8
1.2 0.0
0.4
Vin (V)
0.8
1.2
Vin (V)
ƒ R. Rodríguez et al.: IRPS 2003 p. 11; EDL 24, 114 (2003); ESREF ’03.
ƒ See further: B. Cheek et al.: IRPS 2004 p. 110.
and: H-M. Huang et al., IRPS 2004 p. 593.
25
© 2009 IBM Corporation
IBM Research
Effect of oxide breakdown on SRAM (model)
1.0
0.9
SNM / SNMfresh
0.8
VL
VR
0.7
ƒ 50% reduction in SNM
for BD current > 50 μA
0.6
BD model:
5
I=K×V
0.5
ƒ worst case:
n-source BD
0.4
0.13μm SRAM (1.2V)
drain
p-source
n-source
0.3
0.2
0.1
0.0
-7
10
-6
10
-5
10
– pulls down voltage at
opposite node
– loads weaker p-FET
-4
10
-3
10
-2
10
-1
10
IBD (A) (current through BD spot for V=Vdd)
ƒ R. Rodríguez et al., Electron Dev. Lett. 23, 559 (2002).
26
© 2009 IBM Corporation
IBM Research
Summary: effects of oxide wearout in circuits
ƒ Negative Bias Temperature
Instability (NBTI)
ƒ Positive Bias Temperature
Instability (PBTI)
ƒ Hot Carrier Injection (HCI)
ƒ Oxide Breakdown
(Progressive Breakdown)
– Generally, only one broken
gate in a circuit
• Breakdown is a statistically
rare event
– All transistors in circuit may
be degraded simultaneously,
or particular individuals may
be more vulnerable
•
27
Depending on circuit history
© 2009 IBM Corporation
IBM Research
Acknowledgements
ƒ Barry Linder
ƒ Ernest Wu
ƒ Aditya Bansal
ƒ Sufi Zafar
ƒ Andreas Kerber
ƒ Ed Cartier
– This work was performed by the Research Alliance Teams at various IBM
Research and Development Facilities.
28
© 2009 IBM Corporation