negative bias temperature instability (nbti) - ieee · what is nbti? negative bias temperature...
TRANSCRIPT
Negative Bias Temperature Negative Bias Temperature Instability (NBTI)Instability (NBTI)
Physics, Materials, Process, Physics, Materials, Process, and Circuit Issuesand Circuit Issues
Dieter K. SchroderDieter K. SchroderArizona State UniversityArizona State University
Tempe, AZTempe, AZ
IntroductionIntroduction� What is NBTI?� Material Issues� Device Issues� Circuit Issues� Effect of
� Hydrogen� Nitrogen� Water� Fluorine� Deuterium� Boron� Stress
� NBTI Minimization
What Is NBTI?What Is NBTI?� Negative bias temperature instability occurs mainly in
p-channel MOS devices� Either negative gate voltages or elevated temperatures
can produce NBTI, but a stronger and faster effect is produced by their combined action� Oxide electric fields typically below 6 MV/cm� Stress temperatures: 100 - 250°°°°C � Drain current, transconductance, and
“off” current decrease� Absolute threshold voltage
increase� Such fields and temperatures
are typically encountered during burn in, but are also approached in high-performance ICs during routine operation 105
106
107
1970 1980 1990 2000
Eox
(V/c
m)
Year
Parametric ImpactParametric Impact� Material
� Interface traps, Dit
� Oxide charges, Not
� Device� Threshold voltage, VT
� Transconductance, gm
� Subthreshold slope, S� Mobility, µµµµeff
� Drain current, ID,lin, ID,sat
� Circuit� Gate-to-drain capacitance, Cgd
� Delay time, td
Device Lifetime LimitsDevice Lifetime Limits
� NBTI – key reliability issue
1
2
3
2 2.5 3 3.5 4 4.5 5
VD
D (V
)
Oxide Thickness (nm)
Hot Carrier Limit Region
SIA Roadmap
T=100oC
NBTI Limit Region
N. Kimizuka et al., IEEE VLSI Symp. 73 (1999)
MOSFET PerformanceMOSFET Performance
2)/1()2/( DDTDDoxeffD
DDd VVVCLW
CI
CVt−−−−
========µµµµ
� MOSFET drain current depends on� Dimensions: W, L, Cox ~ 1/tox
� Mobility: µµµµeff
� Voltages: VG, VD, VT
� Delay time: td
2)()2/( TGoxeffD VVCLWI −−−−==== µµµµ
ID � and td � if VT� and µµµµeff �
When device parameter change exceeds a certain value ���� failure
Earliest NBTIEarliest NBTI� Generation of fixed charge and interface states
with negative gate bias was observed very early during MOS development – in 1967!
0
1 1012
2 1012
3 1012
-3 106-2 106-1 1060 100
(111)(100)(111)(100)
(Qf+
Qit)
/q (c
m-2
)
Electric Field (V/cm)
T=300oCtox=200 nm
B.E. Deal et al., J. Electrochem. Soc. 114, 266 (1967)
Typical NBTI FeaturesTypical NBTI Features� Interface traps, Dit, and positive oxide charges,
Not, are generated at similar rates
otit ND ∆∆∆∆≈≈≈≈∆∆∆∆
0.1
1
10
0.1
1
10
100 101 102 103 104
Not
Dit
∆∆ ∆∆Not
(cm
-2)
∆∆ ∆∆Dit (cm
-2eV-1)
Stress Time (s)
VVTT, Transconductance, Transconductance� Charge pumping current Icp ~ interface state
density Dit
� Transconductance gm ~ effective mobility µµµµeff ~ Dit
10-1
100
101
102
103
101 102 103 104 105
- ∆∆ ∆∆V
T (m
V);
∆∆ ∆∆I c
p (p
A)
Stress Time (s)
W/L = 10 µµµµm/2 µµµµm
∆∆∆∆VT
tox=15 nm, T=135oC
VG=-8 V
∆∆∆∆Icp
C. Schlünder et al. Microelectron. Rel. 39, 821 (1999)
10-3
10-2
10-1
100
101
102
100 101 102 103 104- ∆∆ ∆∆V
T (m
V);
- ∆∆ ∆∆g m
/gm
oStress Time (s)
L=0.1 µµµµm, tox=2.2 nm
∆∆∆∆VT
VG=-2.3 V, T=100oC
∆∆∆∆gm/gmo
N. Kimizuka et al., IEEE VLSI Symp. 92 (2000)
Threshold VoltageThreshold Voltage
� Threshold voltage of p-channel MOSFETs decreases with stress time. Why?
0
2
4
6
8
10
10-3 10-2 10-1 100 101
- ∆∆ ∆∆V
T (m
V)
Stress Time (h)
W/L = 10 µµµµm/2 µµµµm
tox=15 nm, T=135oC
VG=-8 V
C. Schlünder et al. Microelectron. Rel. 39, 821 (1999)
ox
SF
ox
it
ox
oxMST C
QCQ
CQ
V ++++++++−−−−−−−−==== φφφφφφφφ 2
SiOSiO22 and SiOand SiO22/Si Interface/Si Interface
� Si, Si/SiO2 interface, SiO2 bulk, and oxide defect structure
This looksreally messy!
A: Si-Si Bond(Oxygen Vacancy)B: Dangling BondC: Si-H BondD: Si-OH Bond
Si
D
B
Hydrogen
A
C
+
+
+
+
+
Oxygen
Dangling Bond (Dit)
Interface TrapsInterface Traps� Si has 4 electrons� At the surface, Si atoms are
missing: Dit ~ 1014 cm-2eV-1
� After oxidation: Dit ~ 1012 cm-2eV-1
� After forming gas (H2/N2) anneal: Dit ~ 1010 cm-2eV-1
� Dit are energy levels in the band gap at the Si surface
� Hydrogen is very important?
NBTI MechanismNBTI Mechanism� A hole (h) is attracted to the Si/SiO2 interface� It weakens the Si-H bond until it breaks� The hydrogen (H) diffuses into the oxide or Si
substrate� If H diffuses into the Si, it can passivate boron ions
� Leaves an interface trap (Dit)
Holes Are The Problem !Holes Are The Problem !
J = 2.25x104 A/cm2
P. Nguyen, ASU
ElectromigrationVia Electromigration
T.S. Sriram and E. PiccioliCompaq
40 µµµµm
L. Wagner, IRPS 2004
Flip Chip Voiding
W plugt = 38 h
10 µµµµm
10 µµµµm
G. Dixit, IRPS 2004
Cu Voids
Chip Delamination
L. Wagner, IRPS 2004
K. Tu, UCLA
Solder Bump EMp+ p+
n-type
Interface Trap ChargeInterface Trap Charge� Band diagrams of the Si substrate of a p-channel MOS
device shows the occupancy of interface traps and the various charge polarities for an n-substrate
� Acceptor with electron: negative charge� Donor without electron: positive charge
� (a) negative interface trap charge at flat band � (b) positive interface trap charge at inversion
(Heavy line: interface trap occupied by an electron; light line: unoccupied by an electron)
EV
EC
Ei
EF
"0"Acceptors
EV
EC
Ei
EF
Dit
Donors "0"
"-" "0""+"
"0"
(b)(a)
Threshold VoltageThreshold Voltage� Nit and Nf ≈≈≈≈ 1010 cm-2; 0.1 µµµµm x 1.0 µµµµm gate (A = 10-9 cm2),
there only 10 interface traps and 10 fixed oxide charges at the SiO2/Si interface under the gate ���� ∆∆∆∆VT
� For tox = 5 nm ���� ∆∆∆∆VT ≈≈≈≈ -5 mV. For ∆∆∆∆VT = -50 mV, device failure ���� ∆∆∆∆Nit = ∆∆∆∆Nf = 1011 cm-2
� Suppose that in a matched analog circuit, one MOSFET experiences ∆∆∆∆VT ≈≈≈≈ -10 mV and the other ∆∆∆∆VT ≈≈≈≈ -25 mV. This 15 mV mismatch in a VT = -0.3 V technology ���� 5% mismatch. High performance analog transistor pairs that require mismatch tolerances of 0.1% to 0.01%.
oxoxoxooxox
fitT txt
xxxx
tAK
qC
QQV 3
913
19
102.9101045.320106.120 −−−−====−−−−====−−−−====++++−−−−====∆∆∆∆ −−−−−−−−
−−−−
εεεε
Reaction Reaction –– Diffusion ModelDiffusion Model� Holes interact with Si-H bond� Holes weaken Si-H bond� At elevated temperature, the Si-H bonds dissociate
� Initially� Dit generation ~ Si-H dissociation rate (reaction limited)
� Later� Dit generation ~ hydrogen diffusion rate (diffusion limited)
++++++++ ++++••••≡≡≡≡→→→→++++≡≡≡≡ HSiSihSiHSi 33
M.A. Alam, IEDM, 2003; IRPS 2005
Reaction Reaction –– Diffusion ModelDiffusion Model
)0()( ====−−−−−−−−==== −−−− xNNkNNkdt
dNHitritHSif
it
H-Si
-VGn-Si
-VGn-Si
0 n-Si
H -SiH-Si
H-SiH -Si
H -Si
H-SiH -Si
H -SiTime
Th
resh
old
Vol
tag
e
Reaction
Diffusion
Hydrogen ModelHydrogen Model� Hydrogen from Si substrate drifts to SiO2/Si
interface � Ho near/at SiO2/Si interface traps a hole ���� H+
� H+ depassivates Si-H bond ���� Dit and H2
� Some H+ drifts into SiO2 ���� Not
233 HSiSiHSiHSi ++++••••≡≡≡≡����++++≡≡≡≡ ++++
D.M. Fleetwood et al. Appl. Phys. Lett. 86, 142103 (2005)
Device DependenceDevice Dependence
TG
T
linD
linD
DDTGlatD
oxefflinD
VVV
II
VVVVLVLCW
I
−−−−−−−−====����
−−−−−−−−++++
====
δδδδδδδδεεεε
µµµµ
,
,
, )2/(/1
/
TG
T
satD
satD
nTGoxsat
satTG
TGoxsatsatD
VVV
nII
VVCWvLVV
VVCWvI
−−−−−−−−====����
−−−−≈≈≈≈++++−−−−
−−−−====
δδδδδδδδεεεε
,
,
2
, )()(
L dependence� Long channel: n ≈≈≈≈ 2, short channel: n ≈≈≈≈ 1� Hence long channel degradation worseID dependence� ID,sat worse than ID,lin due to n
Device DependenceDevice Dependencetox dependence� With scaling, tox ���� and VG-VT (headroom) ����� Hence thin oxide degradation worse for same VT
µµµµeff dependence
� For same VT, as tox ���� δδδδDit ����, ���� µµµµeff ����
� Hence mobility degradation worse for thin oxides
itit qDC ==== oxoox
it
ox
itT t
KDq
CDqV
εεεεδδδδδδδδδδδδ ========
How Can This Be ?How Can This Be ?� The lower picture is after the parts are moved� Where does the missing hole come from?
Effect on CircuitsEffect on Circuits
Inverter Vin Vout n-MOS p-MOSBias Stress Stress
1 VDD 0 V PBTI Off State
2 0 V VDD Off State NBTI
VDD
VSS
VinVout
Time
V(t
)Vin(t) Vout(t)
p-MOSNBTI
CMOS Inverter DegradationCMOS Inverter Degradation
0.1
1
10
0 1000 2000 3000 4000 5000- ∆∆ ∆∆
VT
(mV
)
Stress Time (s)
p-MOS NBTI
T=105oC
|VG |= 2.8 V
n-MOS Off State
n-MOS PBTIp-MOS Off State
� p-MOS NBTI degradation is dominant degradation mechanism during static inverter stress
V. Reddy et al. IEEE 40th Ann. Int. Rel. Symp., 248 (2002)
Effect on CircuitsEffect on Circuits
� Occurs primarily in p-channel MOSFETs with negative gate voltage bias and is negligible for positive gate voltage
� In MOS circuits, it occurs most commonly during the “high” state of p-channel MOSFETs inverter operation
� Leads to timing shifts and potential circuit failure due to increased spreads in signal arrival in logic circuits
� Asymmetric degradation in timing paths can lead to non-functionality of sensitive logic circuits ���� product field failures
Circuit DependenceCircuit Dependencetd dependence
� Circuit delay degrades with VT increase� ISCAS C423: 10% after 10 yrs*
CGD dependence� With stress, Dit ����, Cit ����, ���� CGD ����
� Important for analog circuits (Miller effect)
TG
T
d
d
D
DDd VV
Vn
tt
ICV
t−−−−
====����==== δδδδδδδδ
A.T. Krishnan et al., IEDM 14.5.1, 2003
Operating Voltage
Dra
in C
urr
ent
Sh
ift Headroom
Limited (VG - VT)-1
DegradationLimited (δδδδVT)
������������
����������������
−−−−====
0
25.0
expEE
EVV
Kttt ox
oxTGd
dδδδδ
* B.C. Paul et al., IEEE Electron Dev. Lett. 26, 560 (2005)
Circuit DegradationCircuit Degradation
� VT shifted model captures only ~60% (20%) of the degradation for digital (analog) circuits
����������� ����
����
����
������������������
�����������
���������������� �
!��"#�����$� ��������
�$%�%����
���
����#�&�������%��'(���
��
VTShifted Model
Model
-1.0%
Change in Unity Gain Bandwidth
(Analog)
-3.2%Channel charge
RO Frequency
Degradation (Digital)
Accounts for NBTI impact
on
�������������������� ��)� �*����
$� ���������%+������ -1.3%-4.5%Channel charge
+ MobilityDegraded I+ V only
+,-,+,-.������������ ��)� �*�����)�
��$
%���#��� ���$
$� �������-4.4%-4.9%
Channel charge + Mobility +
�GD
Including �GD
Degradation
A.T. Krishnan IRPS 2004
Circuit DegradationCircuit Degradation� Degradation in digital circuits
� FPGA performance� Ring oscillator fmax
� SRAM static noise margin� Microprocessor
� Degradation in analog circuits� Current mirror� Operational amplifier
DC Versus AC StressDC Versus AC Stress� Stress creates interface traps
( ) � Dit generation
� Initially determined by Si-H dissociation rate
� Later determined by hydrogen diffusion from interface
� When stress is terminated hydrogen diffuses back� Interface traps are passivated
� dc: Dit generation� ac: Dit generation, passivation
M.A. Alam, IEDM, 2003
ac stress leads to reduced degradation!
••••≡≡≡≡ SiSi3
Damage RelaxationDamage Relaxation
� When stress is terminated, degradation relaxes� For sufficiently long times, all damage is “healed”� Important to indicate the time between stress
termination and NBTI measurements
� Threshold voltage� Drain current� Transconductance� Interface traps� Mobility
9
11
13
15
17
10-3 10-2 10-1 100 101 102 103
∆∆ ∆∆ID
lin (%
)
Recovery Time (s)
T=125oC
Recovery 1 ms after stress termination
S. Rangan et al., IEDM, 2003
Damage RelaxationDamage Relaxation� For sufficiently long recovery time, damage
disappears� Temperature dependent� Higher temperature, less recovery
� Hydrogen diffuses further from SiO2/Si interface and is not available during recovery
� If hydrogen diffuses all the way to the poly-Si gate, it may “disappear”
S. Rangan et al., IEDM, 2003
0
0.4
0.8
10-3 10-2 10-1 100 101 102 103 104
Frac
tion
Rem
aini
ng
Recovery Time (s)
T=125oC
Stress and recovery temperatures equal
T=-40o, 25oC
DC Versus AC StressDC Versus AC Stress
� Dynamic stress ���� lifetime ����� Transistors in circuit switch
at different frequencies� Some transistors may not
switch out of NBTI state� Could increase mismatch
between paths switching at different rates
1
10
100
1000
100 101 102 103 104 105 106Life
time
Enh
ance
men
t
Frequency (Hz)
Duty cycle: 25%
T=125oCtox=1.8 nm
50%
75%
103
105
107
109
1011
1013
1015
-2.5-2-1.5-1-0.5
D-InvD-UnipolarD-Bipolar
Life
time
(s)
Gate Voltage (V)
f=100 kHzT=125oCtox=1.8 nm ττττ @ ∆∆∆∆VT=30 mV
S.S. Tan et al. IRPS, 35 (2004)
Effect of HydrogenEffect of Hydrogen� Hydrogen commonly used for interface trap
passivation (~400-450°°°°C, 20-30 min)� Hydrogen can exist as
� Atomic hydrogen H0
� Molecular hydrogen, H2
� Positively charged hydrogen or proton, H+
� Part of the hydroxyl group, OH� Hydronium, H3O+
� Hydroxide ions, OH-
� Hydrogen is believed to be the main passivating species for Si dangling bonds and plays a major role during NBTI stress, when SiH bonds are depassivated ���� interface traps
Effect of NitrogenEffect of Nitrogen� Nitrogen may improve or degrade NBTI � NBTI enhanced by nitrogen� Nitrogen lowers activation energy� Nitrogen profile affects impact
� Lower N at interface is better� Plasma nitridation gives least NBTI
106
107
108
109
1010
1011
2 3 4
Life
time
(s)
1000/T (K-1)
VG=-1.2 V, tox=2.2 nm
Low Nitrogen
10 Years
SiO2
HighNitrogen
N. Kimizuka et al., IEEE VLSI Symp. 92 (2000)
Effect of NitrogenEffect of Nitrogen� Grow thermal oxide� NO anneal or plasma
nitridation� Reduced gate leakage
current (same oxide thickness)
� Similar reliability� Improved NBTI with
plasma nitridation� Improves both digital
and mixed-signal performance
0.01
0.1
1
10
100 101 102 103 104
∆∆ ∆∆ID
sat (
%)
Stress Time (s)
Plasma Nitrided Oxide
tox=6 nm
T=125oCVG=-3.6 V NO Annealed
0
2 1021
4 1021
6 1021
8 1021
1 1022
0 0.5 1 1.5 2 2.5 3
Nitr
ogen
(cm
-3)
Depth (nm)
Plasma Nitrided Oxide
tox=3 nm
NO Annealed
B.Tavel et al., IEDM, 2003
Effect of NitrogenEffect of Nitrogen
B.Tavel et al., IEDM, 2003
Effect of WaterEffect of Water� Water in the oxide enhances NBTI� Dit and Qox increases are observed in damp and wet
oxides; diffusion species is water� Wet H2-O2 grown oxide to exhibit worse NBTI than dry
O2 grown oxides � Water is often present on wafers from contact and via
formation� Water and moisture mostly travel along interfaces� Water-originated reaction has lower energy at the
Si/SiOxNy interface than at the Si/SiO2 interface���� NBTI is enhanced by water incorporation in oxide
Effect of FluorineEffect of Fluorine
� Fluorine improves NBTI� “Hardens” SiO2/Si interface� Fluorine is believed to relieve strain at SiO2/Si
interface
T.B. Hook et al., IEEE Trans. Electron Dev. 48, 1346 (2001)
0
0.2
0.4
0.6
0.8
1
0 1 1014 2 1014 3 1014 4 1014 5 1014
Nor
mal
ized
∆∆ ∆∆V
T
Fluorine Dose (cm-2)
tox=3.5 nm
tox=6.8 nm
FluorineFluorine� Incorporation of fluorine atoms
into SiO2 improves QBD
� SIMS and Fourier transform infrared spectroscopy ���� strained layers are localized near the SiO2/Si interface
� Fluorine releases the distortion of the strained Si-O bonds
� Fluorine diffuses into gate-oxide � React with the strained Si-O bonds
and release the distortion� Released oxygen atoms re-oxidize
the Si-SiO2 interface� Forms Si-F instead of Si-H bonds� Si-F bond stronger than Si-H bond
Y. Mitani et al. “Improvement of Charge-to-Breakdown Distribution by Fluorine Incorporation Into Thin Gate Oxides,” IEEE Trans. Electron Dev. 50, 2221, Nov. 2003
F
FF
FF
F
OSi Si
O
Si Si
O
Si Si
OSi Si
F F
StrainedSi-O Bond
StrainRelease
ReOxidation
Poly-SiGate
SiO2
Si
SiSi
FH
Effect of DeuteriumEffect of Deuterium� Hot carriers degrade devices through: interface state
generation, oxide charge trapping, mobility/transconductance degradation
� Post metallization anneal (~450°C/30 min): forming gas or hydrogen
� Si-H bonds form at SiO2/Si interface
� Si-H bonds easy to form, but also easy to break
� Si-D bonds are stronger (D: deuterium is a stable isotope of hydrogen with natural abundance of 0.0015%)
� Hot carrier resistance enhanced by D2
W. F. Clark et al., IEEE Electron Dev. Lett. 20, 501 (1999)
100
101
102
103
104
105
106
10-6 10-5 10-4
H2: 1st Level MetalH2: 5th Level MetalD2: 1st Level MetalD2: 5th Level MetalLine FitLine Fit
Life
time
(s)
Substrate Current (A/µµµµm)
5% ID,sat Degrad.
Deuterium
Hydrogen
Effect of DeuteriumEffect of Deuterium� Deuterium improves NBTI� A “heavy” variant of
hydrogen� Stable isotope of
hydrogen containing a proton as well as a neutron in its nucleus
� Due to its heavier mass, Si-D bonds are more resistant than Si-H bonds to hot carrier stress as well as NBTI
1
10
100
101 102 103 104
- ∆∆ ∆∆V
T (m
V)
Stress Time (s)
Dry Oxidation
D2 PMA
tox=3.8 nm, T=150oCVG = -2.9 V
H2 PMA
Effect of Oxide ThicknessEffect of Oxide Thickness
� VT shift, ∆∆∆∆VT, depends on oxide thickness� ∆∆∆∆VT ~ tox for same interface trap density
-3
-2
-1
0
1
2
3
-0.5 -0.4 -0.3 -0.2 -0.1 0
Nor
m
VT (V)
tox=1.5 nm
T=125oCE=10 MV/cmW/L=5/1 µµµµm
Before StressAfter
M. Agostinelli et al., IRPS, 171 (2004)
-3
-2
-1
0
1
2
3
-0.5 -0.4 -0.3 -0.2 -0.1 0
Nor
m
VT (V)
tox=5 nm
T=125oCE=10 MV/cm
W/L=4/0.5 µµµµm
Before StressAfter
oxoox
it
ox
itT t
KqN
CQ
Vεεεε
========∆∆∆∆
Effect of BoronEffect of Boron
� Boron degrades NBTI � Boron diffuses into the
gate oxide from the boron-doped gate and from the source/drain implants � Reduced Dit due to Si-F
bonds from the BF2 boron implant
� Enhanced Qox due to increased oxide defects due to boron in the oxide
100
101
102
103
104
105
106
0 0.2 0.4 0.6 0.8 1 1.2
Life
time
(Yea
rs)
Gate Length (µµµµm)
tox=6.5 nm
With B Penetration
Without B PenetrationT=100oC
Yamamoto et al. IEEE Trans. Electron Dev. 46, 921 (1999)
NBTI MinimizationNBTI Minimization
� Have initially low densities of electrically active defects at the SiO2/Si interface and keep water out of the oxide
� Silicon nitride encapsulation layer has been found effective in keeping water away from the active CMOS devices, improving NBTI performance
� Minimize stress and hydrogen content � Keep damage at the SiO2/Si interface to a minimum during
processing� Plasma damage degrades NBTI in p-MOSFETs, but not
n-MOSFETs� Deuterium improves both hot carrier stress and NBTI � Important to ensure deuterium can get to the SiO2/Si
interface and passivate dangling bonds or replace the hydrogen with deuterium in existing Si-H bonds
NBTI MinimizationNBTI Minimization� Nitrogen incorporation has given conflicting
results. Some authors claim an NBTI improvement, while others observe degradation
� The method and chemistry of oxide growth has significant effects on NBTI
� Wet oxides show worse NBTI degradation then dry oxides
� Fluorine leads to an improvement. F in the gate oxides can significantly improve NBTI and 1/fnoise performance
� Boron degrades NBTI� Oxide electric field important
SummarySummary
NBTI � Can be a significant contributor to p-MOSFET
degradation in submicron devices� Needs to be considered during optimization
between device reliability and circuit performance
� Sensitive to a variety of process parameters, e.g., hydrogen, nitrogen, fluorine, boron, etc.
� Can occur during burn in� Can occur during circuit operation at elevated
temperatures
What Is It?What Is It?