49
Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE Electron Device Society Meeting Chadwin D. Young SEMATECH, the SEMATECH logo, International SEMATECH, and the International SEMATECH logo are registered servicemarks of SEMATECH, Inc. AMRC, Advanced Materials Research Center, ATDF, the ATDF logo, Advanced Technology Development Facility, ISMI and International SEMATECH Manufacturing Initiative are servicemarks of SEMATECH, Inc. All other servicemarks and trademarks are the property of their respective owners.

Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

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Page 1: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Electrical Characterization and Reliability Group

Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation

Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation

IEEE Electron Device Society Meeting

Chadwin D. Young

SEMATECH, the SEMATECH logo, International SEMATECH, and the International SEMATECH logo are registered servicemarks of SEMATECH, Inc. AMRC, Advanced Materials Research Center, ATDF, the ATDF logo, Advanced Technology Development Facility, ISMI and International SEMATECH Manufacturing Initiative are servicemarks of SEMATECH, Inc. All other servicemarks and trademarks are the property of their respective owners.

Page 2: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Introduction/MotivationIntroduction/Motivation• Hf-based films are currently being studied to

replace SiO2 gate dielectrics in future technology nodes

• A major issue with high- transistors is trapped charge

• The high- film quality and its impact on device performance (i.e., Id-Vg and mobility) is being investigated– Bulk traps, trapped charge (Kerber, Zhu, and Young)– Phonon scattering (M. Fischetti, E. Cartier, et al)– Crystallization of the high-, inducing charges

(Yamaguchi, Bersuker)– Impact of metal gate (Intel’s IEEE Electron Device Letter)

• Measurements methodologies are needed to qualitatively and quantitatively determine trapped charge in high- gate stacks

Page 3: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Introduction/MotivationIntroduction/Motivation

• Vt instability and device performance degradation have been extensively studied in high- gate stack structures– Fast transient charge trapping of substrate

injected electrons is a major contributor to the instability and degradation

• Charge trapping during conventional DC measurements prevents evaluation of the intrinsic properties of high- dielectrics

• Previously reported pulsed I-V results may still be subject to fast transient charging (previous minimum charging time: 5 s at SEMATECH)

Page 4: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Introduction/MotivationIntroduction/Motivation

• Need to ensure proper evaluation of the threshold voltage shift (Vt)

• Need to understand the effect of charge trapping on the extraction of intrinsic mobility

• Need to understand the impact of fast transient charging on the reliability assessment of high-

Page 5: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ObjectiveObjective• To evaluate several charge trapping

measurement methodologies– Capacitance-Voltage hysteresis – “Stress and Sense” (CVS w/ C-V around Vfb)– Fixed and Variable Amplitude Charge Pumping– Fast Transient (Single Pulse)

• Measurements were done on various hafnium-based gate stacks– MOCVD and ALD type dielectrics– Varying physical thickness– Polysilicon electrode and metal gate

• Show and discuss the results of these measurements

Page 6: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

C-V HysteresisC-V Hysteresis • Voltage sweep methodology shows that as the sweep widens, so does the hysteresis

• Notice the –1 V discharge condition (up traces identical)

• Self-consistent methodology must be used to avoid examples shown

– electric field strength should be fixed

-1.0 -0.5 0.0 0.5 1.0 1.5 2.00

1

2

3

4

5

C

apac

itan

ce [

pF

]

Gate Voltage [V]

-1 to 1 V 1 to -1 V -1 to 1.5 V 1.5 to -1 V -1 to 2 V 2 to -1 V

C-V Sweep

Hf Silicate (20% SiO2)

Freq = 100 kHz

-3 -2 -1 0 1 2

0

20

40

60

80

100

120

Freq = 100 kHz4 nm ALD HfO2

Cap

acit

ance

[p

F]

Voltage [V]

Inv to Accum Accum to Inv

Vfb = 191 mV

-3 -2 -1 0 1 2

0

20

40

60

80

100

Vfb = 105 mV

Cap

acit

ance

[p

F]

Voltage [V]

Inv to Accum Accum to Inv

Freq = 100 kHz4 nm ALD HfO2

Page 7: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

C-V Hysteresis Comparison-Metal v. PolyC-V Hysteresis Comparison-Metal v. Poly

• There is a reduction in V with a metal gate• Notice that the inversion regime shows a larger

hysteresis in each case

-2 -1 0 1 20

1

2

3

4

5

EOT = 2.26 nm

V = 198 mV

V = 375 mV

O3/MOCVD 6 nm HfSixOy/NH3 700oC/Poly

Cap

acit

ance

[p

F]

Voltage [V]

Accum to Inv Inv to Accum

-2 -1 0 1 20

1

2

3

4

5

6

7

V = 83 mV

O3/MOCVD 6 nm HfSixOy/NH3 700oC/TiN/Poly

Cap

acit

ance

[p

F]

Voltage [V]

Accum to Inv Inv to Accum

V = 104 mV

EOT = 1.73 nm

Page 8: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

CVS with Interspersed CVCVS with Interspersed CV

• There is a time delay between stress and C-V allowing relaxation of some of the trapped charge

• In addition, CV is taken around Vfb which de-traps some substrate injected electrons

switch matrix connection

V

Time

stress CV with

forward & backward voltage sweep

Optional IV

switch matrix connection

switch matrix connection

stress CV with

forward & backward voltage sweep

Optional IV

switch matrix connection

stress CV with

forward & backward voltage sweep

Optional IV

connection switch matrix

connection V

Time

Page 9: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Injected Charge, Qinj [-C/cm2]

0.001 0.01 0.1 1 10T

rap

ped

Ch

arg

e D

ensi

ty,

Nt [

#/cm

2]

-1.2e+11

-1.0e+11

-8.0e+10

-6.0e+10

-4.0e+10

-2.0e+10

0.0

O3/ALD HfO2 "thin"/N2 SI

Substrate Injection for ALD HfO2 Substrate Injection for ALD HfO2 • Interspersed C-V

measurements– Positive flatband shift

indicating a net negative trapped charge

– Notice the hysteresis widen as the stresses continue signifying electron trapping

• Plot of Nt vs. injected charge, Qinj

• Noise here suggests an unstable extraction of Vfb based on CV up-traces being so close together

ALD HfO2ALD HfO2

Voltage [V]

-1.00 -0.95 -0.90 -0.85 -0.80 -0.75 -0.70 -0.65

Ca

pa

cit

an

ce

[F

]

3e-12

4e-12

4e-12

5e-12

5e-12

5e-12

6e-12Initial CV

CV After Stress1

After Stress9

CV After Stress18

Voltage [V]-2 -1 0 1 2

Cap

acit

ance

[F

]

0.0

1.0e-12

2.0e-12

3.0e-12

4.0e-12

5.0e-12

6.0e-12

7.0e-12

Positive Vstress

Initial Data for NCSU CVC

ALD HfO2

Inset: Pre-stress C-V datafb

oxt V

q

CN

Page 10: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Substrate Injection for MOCVD HfSixOySubstrate Injection for MOCVD HfSixOy

• Interspersed C-V measurements – Positive flatband shift

indicating a net negative trapped charge

– Notice the hysteresis widen as the stresses continue signifying electron trapping

• Notice larger Vfb shifts than the previous example– Trapped charge is retained

longer than ALCVD• Larger quantity of

trapped charge 0.1 1 10 100-9.00E+011

-8.00E+011

-7.00E+011

-6.00E+011

-5.00E+011

-4.00E+011

-3.00E+011

-2.00E+011

Tra

pp

ed

Ch

arg

e D

en

sit

y,

Nt [

#/c

m2 ]

Injected Charge, Qinj [-C/cm2]

Substrate Injection MOCVD Hf Silicate

-0.95 -0.90 -0.85 -0.80 -0.75 -0.70

4.20E-012

4.40E-012

4.60E-012

4.80E-012

5.00E-012

5.20E-012

5.40E-012

5.60E-012

5.80E-012

6.00E-012

6.20E-012

C

ap

ac

ita

nc

e [

F]

Voltage [V]

Initial CV CV after stress1 CV after stress5 CV after stress12 CV after stress19

(+) Vstress

Substrate InjectionMOCVD Hf Silicate

Page 11: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Charge Pumping MeasurementsCharge Pumping Measurements

• Charge pumping measurement:- Fixed Amplitude (FA) interface traps, Nit, Vbase is stepped- Variable Amplitude (VA) bulk traps, Nt, Vtop is stepped- rise and fall times tr and tf = 100 ns- traps fill from S/D during tr, empty into substrate during tf

• Charge pumping current is given by

f= freq, A= channel area, Nit= interface trap density

Vfb

Vt

Icp

Vbase

Icp

Vtop

Fixed-Amplitude (FA) CP Variable-Amplitude (VA) CP

Vfb

Vt

Icp

Vbase

Icp

Vtop

Fixed-Amplitude (FA) CP Variable-Amplitude (VA) CP

A

S D

Gtr tf

VaVbase

Vtop

A

S D

Gtr tf

VaVbase

Vtop

tr tf

VaVbase

Vtop

itcp qfANI

Page 12: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Charge Pumping (CP) on Various Gate StacksCharge Pumping (CP) on Various Gate Stacks • FA CP and VA CP are

done to assess trapping in the hybrid stack

• FA CP shows relatively low Nit values for all hybrid stacks

• VA CP shows the 30/15 hybrid with the highest trapping density at Vtop < 1V

• Thinner hybrid stacks suggest lower trapping densities

– However, scaled stacks “takes off” at 1.5V and beyond (see next slide)

– Interpretation of the data is not straightforward…

-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0

1010

1011

1012

Fixed Amplitude CPVamp = 1.2 V

Vbase = -1.5 to 0 V

Freq = 1 MHztr, tf = 100ns

Variable Amplitude CPVbase = -1 V

Vtop = -1 to 2 V

Freq = 100kHztr, tf = 100ns

Nit

or

Nt [

#/cy

cle*

cm2 ]

Vbase [V] or Vtop [V]

30/15 Hybrid 20/15 Hybrid 15/15 Hybrid

30 Å HfO2 20 Å HfO2 15 Å HfO2

15 Å HfSixOy

15 Å HfSixOy15 Å HfSixOy

30/15 Hybrid

20/15 Hybrid15/15 Hybrid

Si Substrate

SiO2 IL 10 Å

30 Å HfO2 20 Å HfO2 15 Å HfO2

15 Å HfSixOy

15 Å HfSixOy15 Å HfSixOy

30/15 Hybrid

20/15 Hybrid15/15 Hybrid

Si Substrate

SiO2 IL 10 Å

30 Å HfO2 20 Å HfO2 15 Å HfO2

15 Å HfSixOy

15 Å HfSixOy15 Å HfSixOy

30/15 Hybrid

20/15 Hybrid15/15 Hybrid

Si Substrate

SiO2 IL 10 Å

Page 13: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Variable Amplitude CP Current and Gate Leakage CurrentVariable Amplitude CP Current and Gate Leakage Current

• Gate leakage is present in accumulation from gate to substrate• In inversion, leakage component flows from source/drain to gate

– Indirectly measured by enhancement in Icp due to enhanced carrier supply (enhanced injection)

– S/D leakage current goes in the opposite direction of measured Icp, therefore not “directly” measured

-1.0 -0.5 0.0 0.5 1.0 1.5 2.0

10-15

10-14

10-13

10-12

10-11

10-10

10-9

10-8

10-7

10-6

Variable Amplitude CPVbase = -1 V

Vtop = -1 to 2 V

Freq = 100kHztr, tf = 100ns

I S/D

or

I cp [

A]

Vtop [V]

1 MHz 100 kHz 10 kHz

closed symbols: S/D Leakageopen symbols: Icp

Icp

I(d,g)I(s,g)

INV

Icp

I(d,g)I(s,g)

ACC

Ig

Page 14: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Charge Pumping for Process CharacterizationCharge Pumping for Process Characterization

3.5 nm HfSiO (20%) – 700C/800C N2O PDA

Reduced Nt values and flatter Nt –Vpeak curves suggest that the higher temperature N2O PDA increases the interfacial layer thereby increasing the tunneling distance to traps in this silicate gate stack.

Fixed Base, Variable Amplitude Charge Pumping (into inversion)

-1.0 -0.5 0.0 0.5 1.0 1.5109

1010

1011

1012

nFET W/L = 10/1 m

Vbase = -1.0V

Nt [

#/cy

cle*

cm2 ]

Vpeak [V]

1 MHz N2O 800oC

100 kHz N2O 800oC

10 kHz N2O 800oC

1 MHz N2O 700oC

100 kHz N2O 700oC

10 kHz N2O 700oC

Page 15: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

DigitizingO-scope

PulseGenerator

RL

VDD

VD

Vg

Pulsed Transient Charge Trapping Measurement SetupPulsed Transient Charge Trapping Measurement Setup

• Single Pulse Input:

Width: 5s< tPW < 100 s

Rise, Fall times: tR=tF= 5-100 s

• RL typically ~ 300 ohms

• VDD typically 100 mV

• Output VD pulse is digitized as 5000 readings versus time

• ID-VG and ID- time plots formed from

ID (0.1V) = 0.1 * (VDD/VD – 1)/RL

• Device W/L and series resistance normalization applied as needed

Page 16: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Transient Charging in High- Gate StacksTransient Charging in High- Gate Stacks• “Single Pulse” Id-Vg

characteristics for different inversion biases illustrating increased trapping (Vt shift) with increased inversion bias from substrate injected electrons for nMOS and negligible trapping for pMOS at these bias conditions

• The included nMOS DC ramp Id-Vg result demonstrates the effect of charge trapping during the slower measurement

-2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.00

100

200

300

400

500

pMOS nMOS 1 to -1.5 V -1 to 1 V 1 to -2 V -1 to 1.5 V 1 to -2.5 V -1 to 2 V 1 to -2.7 V -1 to 2.2 V

nMOS DC Id-V

g

1nm SiO2/3 nm HfO

2 Stack

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

PW

tr

tf

Vg Pulse Height

tr, t

f = 5 s; PW = 100 s

nFET W/L = 10/0.5 m Vd = 0.1V

tr t

f

Vt shift

Page 17: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Plausible Charging ModelPlausible Charging Model

• The inversion channel electrons are lost due to tunneling through the interfacial layer and into the high- trap sites

• Thinner interface layers result in faster trapping

• Substrate injected electrons result in the decreased drive current and mobility seen in conventional DC measurement techniques

Gate Stack Conduction Bands Substrate Injected Electrons

High- Layer

1nm SiO2

Layer

Page 18: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Single Pulse Output Data and AnalysisSingle Pulse Output Data and Analysis

• Ih this case, the Vt is measured at 50% of the max Id on 10 m x 1 m nFETs

– The Vt is a composite effect of trapping and de-trapping• Charge trapping increases with increasing inversion bias• Note that the vertical drop at Vg = 2.5V on the Id-Vg curve is

associated with the droop at the top of the Id – time current pulse.

0.0 0.5 1.0 1.5 2.0 2.5 3.00

50

100

150

200

250

300

350

tf

tr

tftr

PW

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = -1 to 2.5 V

PW = 100 str, tf = 5s

PWVt

0 50 100 150 200 2500

50

100

150

200

250

300

350

PW = Pulse Width

Vg = -1 to 2.5 V

PW = 100 str, tf = 5s

Dra

in C

urr

ent

[A

]

Time [s]

tftr

PW

tr tf

max Id

Page 19: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Measurement ComparisonMeasurement Comparison

• CVS with interspersed CV, variable amplitude charge pumping, and fast transient single pulse

• MOCVD Hafnium silicate of varying physical thickness, all with poly electrode– 2.5, 3.5, 4.0, 4.5 nm

Page 20: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Variable Amplitude Charge PumpingVariable Amplitude Charge Pumping

-1.0 -0.5 0.0 0.5 1.0 1.5 2.0109

1010

1011

1012

Vbase = -1.0V

Nt [

#/cy

cle*

cm2 ]

Vtop [V]

4.5 nm Silicate 4 nm Silicate 3.5 nm Silicate

• Variable amplitude CP was set up to mimic the single pulse as close as possible

• The trapped charge value is take on the final pulse (i.e., -1 to 2 V)

• Remember: Charge pumping measures a recombination current

2.5 kHz

100s 100s 100s 100s

Page 21: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Single Pulse MeasurementsSingle Pulse Measurements

0.0 0.5 1.0 1.5 2.0 2.50

20

40

60

80

100

120

140

160

180

200

220

240 O3/4.5 nm Silicate

Charging Time = 100 s

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = 1 V

Vg = 1.5 V

Vg = 2 V

Vg = 2.2 V

0.0 0.5 1.0 1.5 2.0 2.50

20406080

100120140160180200220240260280300

O3/4 nm Silicate

Charging Time = 100 s

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = 1 V

Vg = 1.5 V

Vg = 2 V

Vg = 2.2 V

0.0 0.5 1.0 1.5 2.0 2.50

20406080

100120140160180200220240260280

Charging Time = 100 s

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = 1 V

Vg = 1.5 V

Vg = 2 V

Vg = 2.2 V

O3/2.5 nm Silicate • Single pulse measurement– 10x1 Transistors– tr, tf, PW = 100 s– Pulse base = -1 V

• Hysteresis reduces as the nominal physical thickness reduces

• Time settings used may still have some transient chargeing in the results

Page 22: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Comparison ResultsComparison Results• Due to relaxation and

measuring around Vfb for the CVS with CV technique, trapped charge is lost

• Single pulse values for Vt show that ~100 mV shift equates to ~1E11/cm2 trapped charge

• Variable amplitude CP is on the same order of magnitude but 4x-5x less than single pulse

• All samples have O3 interfacial layer

For comparison, trapped charge is assumed to be at the silicon substrate interface

1011

1012

1013

20% SiO2 HfSixOy Nominal Physical Thickness

Vstress = 2V

Nt a

t S

i In

terf

ace

[#/c

m2 ]

Single Pulse @ tr, tf, PW = 100s

Var Amp CP @ 2.5 kHz w/ tr, tf = 100s

CVS with CV @ 0.16 sec CVS with CV @ 205 sec

TooLeaky

Page 23: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Ultra-short Pulse I-V Characterization of the Intrinsic Behavior of High- Devices

Ultra-short Pulse I-V Characterization of the Intrinsic Behavior of High- Devices

Page 24: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ApproachApproach• System: Hafnium-based gate dielectric

stacks with polysilicon gates• Method: Ultra-short pulse I-V technique

in the nanosecond range • Goal: Illustrate negligible charge

trapping with improved measurement performance through the use of an ultra-short pulse-based I-V technique

– The findings presented herein suggest that the nanosecond capability provide close-to-intrinsic properties of high- gate stack structures over the previous mentioned time settings

Page 25: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Effect of Interfacial Layer on ChargingEffect of Interfacial Layer on Charging

• In order to achieve EOTs below ~0.8 nm, scaling of the interfacial layer (IL) may be required

• This reduces the tunneling distance to the high- bulk traps

• Trapping may occur on the rise time of the pulse which has typically been assumed to be void of trapping

0.0 0.5 1.0 1.5 2.00

50

100

150

200

250

300

350

400

tr

tr

PW

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Rise Time of Pulse 5 s 100 s 1 ms DC Ramp

• HF Last Interface Treatment• Physically ~0.4-0.6 nm thick IL• Nitrogen baring IL

High-: 5 nm ALD HfO2

Page 26: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Nanosecond Pulse Set UpNanosecond Pulse Set Up

• In order to ensure “close-to-intrinsic” properties of high- stacks, an ultra-short pulse I-V capability with faster acquisition times is required

Vd

Output

Vg

Input

Vd

Output

Vg

Input

Trigger

Scope

Pulse Generator

4200-SCSDC bias/Control

GP

IB

Trigger

Digital O-Scope

Pulse Generator

Bias Tees

Vg

Vd

4200 – SCSDC bias/Control

VDD

Pick-offTee

Trigger

Scope

Pulse Generator

4200-SCSDC bias/Control

GP

IB

Trigger

Digital O-Scope

Pulse Generator

Bias Tees

Vg

Vd

4200 – SCSDC bias/Control

VDD

Pick-offTee

Page 27: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ApplicationsApplications

Single Pulse

Id – Vg

Id – Time

Ramped Pulse I-V

Id – Vg

Id – Vd

= Data points are averaged here for ramped pulse I-V

Time

Vg

Vd

Time

Vg

Vd

tr tr

Vg

Vd

tr tr

Vg

Vd

Page 28: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Benchmark/Calibration of a 35 ns Pulse WidthBenchmark/Calibration of a 35 ns Pulse Width

0.0 0.5 1.0 1.5 2.00

100

200

300

400

500

600

700

ISSG SiO2 Control

nFET W/L = 10/0.5mVd = 100mV

35 ns Pulse, tr = tf = 2ns

DC Ramp

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

a)

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.60

50

100

150

200

250

300

350

Vg = 0.5 V

Vg = 1.0 V

Dra

in C

urr

ent

[A

/m

]

Drain Voltage [V]

DC Ramp Pulse

Vg = 1.5 V

b)

• Benchmark and calibration were carried out on a SiO2 control oxide– Pulse width = 35 ns, rise and fall times = 2 ns– Ground-Signal-Ground (G-S-G) probes, connections, and

devices were used

Ramped Pulse Id-Vg Ramped Pulse Id-Vd

Page 29: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Drive Current DegradationDrive Current Degradation• Pulsed Id versus time

characteristics illustrating the degradation in drive current over time due to channel electron trapping into the high-

– a) Pulse width = 50 ns– b) Pulse width = 100 s,

50 s, and 10 s– Charge trapping

degradation of Id can be seen

0 50 100 150 200

0.0

0.2

0.4

0.6

0.8

1.0

0.0

0.2

0.4

0.6

0.8

1.0

b) tf

tr

PW

No

rmal

ized

Dra

in C

urr

ent

Time [s]

Pulse Width 100 s 50 s 10 s

tr

Id Degradation due to charge trapping

tf = t

r = 5s

50 ns pulse width, tr = t

f = 25ns

a)

Page 30: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Expanded Ultra-Short Pulse ResultExpanded Ultra-Short Pulse Result

0 50 100 150 200

0.0

0.2

0.4

0.6

0.8

1.0

0 20 40 60 80 100

0.0

0.2

0.4

0.6

0.8

1.0

tftr

PW

No

rma

lize

d D

rain

Cu

rre

nt

Time [ns]

Vg = -1 to 2.5 V

PW = 50 nstr, tf = 25 ns

N

orm

aliz

ed D

rain

Cu

rren

t

Time [s]

Note: Time scale difference

• Pulsed Id versus time characteristics illustrating no observable degradation in drive current over time due to the lack of channel electron trapping in the high-

• No Id degradation seen in the thin interfacial layer sample (right)

30 40 50 60 70 80 90 1000

50

100

150

200

250

300

350

400

450

tf

tr

PW

Dra

in C

urr

ent

[A

]

Time [ns]

Vg = -1 to 2 V

PW = 45 nstr, t

f = 20 ns

HF Last Interface Treatment

Page 31: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Comparison of “Old” to “New” Comparison of “Old” to “New”

• Single pulse charge trapping measurement on HfSixOy NMOS transistors:

– Rise and fall time of the pulse is 25 ns and the pulse width is 50 ns with no hysteresis in two Id-Vg curves using the ultra-short pulse set up

– Rise and fall time of the pulse is 5 s and the pulse width is 5 s with hysteresis and “noise” in the Id-Vg curves using the set up previously reported

0.0 0.5 1.0 1.5 2.00

50100150200250300350400450

O3/4.5 nm HfSixOy

nFET W/L = 10/0.5 mVd = 100 mV

tftr

PW

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = -1 to 2 V

PW = 5 str, tf = 5 str tf

0.0 0.5 1.0 1.5 2.00

50100150200250300350400450

O3/4.5 nm HfSixOy

nFET W/L = 10/0.5 mVd = 100 mV

tf

tftr

PW

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

Vg = -1 to 2 V

PW = 50 nstr, tf = 25 nstr

Old New

Page 32: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Application of Ultra-short Ramped PulseApplication of Ultra-short Ramped Pulse

0.0 0.4 0.8 1.2 1.6 2.00

50100150200250300350400450500

1nm SiO2/3 nm HfO2 Stack

nFET W/L = 10/0.5mVd = 100mV

35 ns pulse, tr = tf = 2ns

Dra

in C

urr

ent

[A

]

Gate Voltage [V]

DC Rampa)

0.0 0.4 0.8 1.2 1.6 2.00

50

100

150

200

250

300

350

b)

Dra

in C

urr

ent

[A

/m

]

Drain Voltage [V]

35 ns Pulse, tr = tf = 2ns

DC Ramp

Vg = 1.8 V

Vg = 1.4 V

Vg = 1.0 V

• 35 ns pulse width saturation current of this high- sample has increased by as much as 40% at high Vg over conventional DC

Page 33: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Summary ISummary I• C-V hysteresis is good for qualitative

understanding of trapping that is occurring

• ‘Stress and sense’ loses trapped charge in the Vfb measurement– ‘Stress and sense’ with Id-Vg to monitor threshold

voltage shift is somewhat better• Variable amplitude charge pumping could

be an excellent process monitoring tool for measuring the trapped charge

• When properly done, Pulse I-V is an excellent benchmark in measuring and quantifying trapped charge in high- gate stacks

Page 34: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Summary IISummary II

• Thin interfacial layers result in faster trapping, thereby reducing the time for the onset of transient charging

• A unique nanosecond regime pulse I-V measurement allows close-to-intrinsic characterization of high- gate stacks due to no observable trapped charge in pulsed I-V characterization

• Ultra-short pulse I-V demonstrates significant improvement in high- device performance when compared to DC methods

Page 35: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Comparison of “Trap-Free” Mobility Extraction Techniques for High- Gate Dielectrics

Comparison of “Trap-Free” Mobility Extraction Techniques for High- Gate Dielectrics

Page 36: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

OutlineOutline• Introduction/Motivation• Approach• Mobility Extraction Techniques

– Split C-V– NCSU CVC and Mob2d– Kerber, et al, pulsed mobility extraction– Combine pulsed Id-Vg with CVC and Mob2d

• Application/Evaluation of Mobility Extraction Methods

• Summary

Page 37: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ApproachApproach

• System: Hafnium-based gate stacks and control SiO2

• Method: Various mobility extraction algorithms:– Conventional split C-V ( benchmark)– NCSU CVC and Mob2d– Kerber, et al, pulsed mobility methodology– NEW Combine Pulsed Id-Vg, CVC, and

Mob2d• Goal: To evaluate and compare “intrinsic”

mobility extraction techniques in the presence of trapped charge

Page 38: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Split C-V Mobility ExtractionSplit C-V Mobility Extraction

-0.5 0.0 0.5 1.0 1.50

1

2

3

4

5

6

7

0.0 0.5 1.0 1.5 2.00

2

4

6

8

10

12

14 4T Silicate/NH3 700oC PDA

nFET W/L = 20/20m

Vd = 40 mV

Vd = 20 mV

Dra

in C

urr

en

t [A

]

Gate Voltage [V]

C

apac

itan

ce [

pF

]

Voltage [V]

Inversion C-V

Qinv

• Measurements– Separately measured inversion and depletion C-V characteristics at

100 kHz on W/L = 20/20 m– Integrate C-V curve (area under the curve) to obtain Qinv and Qb

– Channel conductance from differential Id-Vg measurements at 20 mV and 40 mV

0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

0

50

100

150

200

250

Mobility Universal

4T Hf Silicate/NH3 700oC PDA

Eff

ecti

ve M

ob

ilit

y [c

m2 /V

*sec

]

Effective Field [MV/cm]

inv

mVdmVd

invd

deff QmV

II

QL

WV

I

1202040

osi

invb

eff

QQE

2

Page 39: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

0.0 0.5 1.0 1.5 2.0105

106

107

108

109

1010

1011

1012

1013

1014

N

inv

[#/c

m2 ]

Gate Voltage [V]

Split CV N inv

Mob2d N inv

Split CV and Mob2d DifferencesSplit CV and Mob2d Differences

• Split C-V Ninv does not approach zero

• Since Qinv is in the denominator, mobility goes to zero (Id is small)

• Difference in Mob2d model Id to measured Id creates the up-turn in the low field regime0.0 0.5 1.0 1.5 2.0

10-12

10-11

10-10

10-9

10-8

10-7

10-6

10-5

10-4

Dra

in C

urr

en

t [A

]

Gate Voltage [V]

Id

Id model

0.2 0.4 0.6 0.8 1.0 1.2 1.4

0

50

100

150

200

250

300

350

Eff

ecti

ve E

lect

ron

Mo

bili

ty [

cm2 /V

*sec

]

Effective Field [MV/cm]

Split CV Fit to gd Fit to gm Universal

CVC and Mob2d2nm SiO2 Control

20 x 20 m2

Page 40: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Kerber Mobility ExtractionKerber Mobility Extraction

• Technique directly measures Ninv and uses pulse Id-Vg data

• Ninv is extracted by taking advantage of the geometric component in charge pumping measurements– Measure Icp using fast rise, fall times and long

channel device (Icp includes Ninv and Ntrap)– Use proper CP methodology to extract Ntrap

– Subtract Ntrap to leave only Ninv

• Pulse Id-Vg data collected• Calculate the Eeff and eff

Page 41: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

NEW: Pulsed Id-Vg with CVC and Mob2dNEW: Pulsed Id-Vg with CVC and Mob2d

• CVC provides EOT (Cox), substrate doping (Nsub), and poly doping (Npoly) to Mob2d for the mobility extraction– C-V hysteresis data should be evaluated by CVC

to determine if there are any differences in extracted Cox, Nsub, and Npoly

– Nsub from CVC should be robust since Cmin is not significantly affected by trapped charge

– Cox is extracted from the depletion and accumulation where trapped charge is minimal

Page 42: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Pulsed Id-Vg with CVC and Mob2d (cont.)Pulsed Id-Vg with CVC and Mob2d (cont.)

• CVC on forward and backsweep C-V data shows no significant change in Nsub, Cox, Npoly

• A “trap free” Id-Vg curve is done with the pulsed measurement

• With CVC of the transistor and pulsed Id-Vg of a 10x1 m2 transistor, Mob2d can be executed to provide a “trap free” mobility

CVC Model Accum to Inv

0

1

2

3

4

5

6

7

8

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2

Voltage [V]

Cap

acit

ance

[p

F]

Series1Series2

cvc model parametersEOT = 16.3 Å

Nsurf = 4.86E17 /ccVfb = -0.844 V

RMS fit error = 2.4%Npoly = 7.38E19 /cc

CVC Model Inv to Accum

0

1

2

3

4

5

6

7

8

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2

Voltage [V]

Cap

acit

ance

[p

F]

Series1Series2

cvc model parametersEOT = 16.6 Å

Nsurf = 5.64E17 /ccVfb = -0.805 V

RMS fit error = 3.2%Npoly = 7.13E19 /cc

Accumulation Inversion Inversion AccumulationO3/3 nm ALD HfO2/Poly

Page 43: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

CVC/Mob2d With Pulsed Id-Vg on 2 nm SiO2CVC/Mob2d With Pulsed Id-Vg on 2 nm SiO2

0.2 0.4 0.6 0.8 1.0 1.2 1.450

100

150

200

250

300

350

Eff

ecti

ve E

lect

ron

Mo

bili

ty [

cm2 /V

*sec

]

Effective Field [MV/cm]

Conventional Pulsed w/ Mob2d Universal

2nm ISSG ControlConventional 20x20Pulsed on Normalized 10x1Dimensions in m

CVC and Mob2d

• Demonstration of CVC/Mob2d with Pulsed Id-Vg on control SiO2 sample yields excellent agreement with CVC/Mob2d with DC Id-Vg

Page 44: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

CVC/Mob2d Extraction and Kerber (cont.)CVC/Mob2d Extraction and Kerber (cont.)

0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

0

50

100

150

200

250

300

350

400

Eff

ecti

ve M

ob

ility

[cm

2 /V*s

ec]

Effective Field [MV/cm]

Split CV Mob Kerber Pulse Mob CVC/Mob2d Pulse Mob Universal

O3/MOCVD 20/15 Hybrid Stack/Poly

NH3 700oC PDA

• Excellent agreement between CVC/Mob2d and Kerber

• High field mobility is quite close to the universal electron mobility for the particular samples shown

0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

0

50

100

150

200

250

300

350

400

Eff

ecti

ve M

ob

ility

[cm

2 /V*s

ec]

Effective Field [MV/cm]

Split CV Mob Kerber Pulse Mob CVC/Mob2d Pulse Mob Universal

O3/MOCVD 15/15 Hybrid Stack/Poly

NH3 700oC PDA

Page 45: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

SummarySummary

• CVC and Mob2d on 2 nm SiO2

– Split C-V and Mob2d eff vs. Eeff ~ same in the high field while split C-V is shifted and lower in the low field regime

• NEW - Pulsed Id-Vg with CVC/Mob2d– Requires only two measurements (C-V and pulsed

Id-Vg)– Simple, automated analysis/extraction verified on

SiO2

– Excellent agreement when benchmarked with Kerber for high- samples used

Page 46: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

Threshold Voltage Instability: Electron Trapping

0 1000 2000 3000 4000-150

-100

-50

0

50

100

150

200

1000sec Vg=-0.5V

2nd CVS stress1~1000sec

1000sec Vg=-0.5V

Vt (

mV

)Stress time (sec)

1st CVS stress1~1000sec

Initial

De-trapping Vg=-0.5V

0 1000 2000 3000 4000 50000.4

0.5

0.6

0.7

0.8

Vt (

V)

Stress time

De-trapping Vg=-1V (10sec)

MOCVD HfSiO(20%) Vg=2.2V 1,000sec

Reversible and repeatable electron trapping

Sim et al, SSDM 2004

Minimal trap generation: filling pre-existing traps

Trapping processes:Fast initial – Slow long stress

Page 47: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ReferencesReferencesA. Kerber, et al, presented at INFOS, Barcelona, Spain, pp. WS1-5, June 2003

G. Groeseneken, et al., "A reliable approach to charge-pumping measurements in MOS transistors," IEEE Transactions on Electron Devices, vol. ED-31, pp. 42-53, 1984.

C.D. Young, et al., “Charge Trapping and Mobility Degradation in MOCVD Hf Silicate Gate Dielectric Stack Structures,” presented at ESC Conference, Orlando,FL, Oct. 12-16, 2003.

Y. Zhao, C.D. Young, and G.A. Brown, Semiconductor International, Oct. 2003, pp. 51

S. Zafar, et. al., Applied Physics Letters, Vol 81, No. 14, p. 2608, 2002

S. Zafar, et. al., Journal of Applied Physics, Vol 93, p. 9298, 2002

Page 48: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ReferencesReferences•[1] G. Bersuker, P. Zeitzoff, J. Barnett, N. Moumen, B. Foran, C. D. Young, J. J. Peterson, and P. Lysaght, "Interface-Induced Mobility Degradation in High-k Transistors," Japanese Journal of Applied Physics, vol. 43, pp. 7899, 2004.•[2] G. Bersuker, J. H. Sim, C. D. Young, R. Choi, P. Zeitzoff, G. A. Brown, B. H. Lee, and R. W. Murto, "Effects of Pre-existing Defects on Reliability Assessment of High-K Gate Dielectrics," Microelectronics Reliability, vol. 44, pp. 1509, 2004.•[3] G. Bersuker, J. H. Sim, C. D. Young, R. Choi, B. H. Lee, P. Lysaght, G. A. Brown, P. Zeitzoff, M. Gardner, R. W. Murto, and H. R. Huff, "Effects of Structural Properties of Hf-Based Gate Stack on Transistor Performance," presented at 2004 Spring Meeting of the Material Research Society, 2004.•[4] G. Bersuker, P. Zeitzoff, J. H. Sim, B. H. Lee, R. Choi, G. A. Brown, and C. D. Young, "Mobility Evaluation in High-K Devices," presented at IEEE Intl. Integrated Reliability Workshop Final Report, 2004.•[5] R. Choi, S. Rhee, J. C. Lee, B. H. Lee, and G. Bersuker, "Charge trapping and detrapping characteristics in hafnium silicate gate stack under static and dynamic stress," IEEE Electron Device Letters, vol. 26, pp. 197, 2005.•[6] J. R. Hauser, "Extraction of experimental mobility data for MOS devices," IEEE Transactions on Electron Devices, vol. 43, pp. 1981, 1996.•[7] A. Kerber, E. Cartier, L. Pantisano, R. Degraeve, T. Kauerauf, Y. Kim, A. Hou, G. Groeseneken, H. E. Maes, and U. Schwalke, "Origin of the threshold voltage instability in SiO2/HfO2 dual layer gate dielectrics," IEEE Electron Device Letters, vol. 24, pp. 87, 2003.•[8] A. Kerber, E. Cartier, L. Pantisano, M. Rosmeulen, R. Degraeve, T. Kauerauf, G. Groeseneken, H. E. Maes, and U. Schwalke, "Characterization of the VT instability in SiO2/HfO2 gate dielectrics," presented at 41st Annual IEEE Intl. Reliability Physics Symp. Proc., 2003.•[9] A. Kerber, E. Cartier, L. A. Ragnarsson, M. Rosmeulen, L. Pantisano, R. Degraeve, Y. Kim, and G. Groeseneken, "Direct measurement of the inversion charge in MOSFETs: application to mobility extraction in alternative gate dielectrics," presented at Symp. on VLSI Technology Digest of Tech. Papers, 2003.•[10] J. C. Lee, H. J. Cho, C. S. Kang, S. Rhee, Y. H. Kim, R. Choi, C. Y. Kang, C. Choi, and M. Abkar, "High-k dielectrics and MOSFET characteristics," presented at IEEE Intl. Electron Devices Meeting Tech. Digest, 2003.•[11] B. H. Lee, C. D. Young, R. Choi, J. H. Sim, G. Bersuker, C. Y. Kang, R. Harris, G. A. Brown, K. Matthews, S. C. Song, N. Moumen, J. Barnett, P. Lysaght, K. S. Choi, H. C. Wen, C. Huffman, H. Alshareef, P. Majhi, S. Gopalan, J. J. Peterson, P. Kirsh, H.-J. Li, J. Gutt, M. Gardner, H. R. Huff, P. Zeitzoff, R. W. Murto, L. Larson, and C. Ramiller, "Intrinsic Characteristics of High-k Devices and Implications of Fast Transient Charging Effects (FTCE)," presented at IEEE Intl. Electron Devices Meeting Tech. Digest, 2004.•[12] C. Leroux, J. Mitard, G. Ghibaudo, X. Garros, G. Reimbold, B. Guillaumot, and F. Martin, "Characterization and modeling of hysteresis phenomena in high K dielectrics," presented at IEEE Intl. Electron Devices Meeting Tech. Digest, 2004.•[13] C. G. Sodini, T. W. Ekstedt, and J. L. Moll, "Charge accumulation and mobility in thin dielectric MOS transistors," Solid State Electronics, vol. 25, pp. 833, 1982.

Page 49: Electrical Characterization and Reliability Group Evaluation of Charge Trapping Measurements and Their Application to High- Gate Stack Evaluation IEEE

ReferencesReferences• [14] C. D. Young, A. Kerber, T. H. Hou, E. Cartier, G. A. Brown, G. Bersuker, Y. Kim, J. Gutt, P. Lysaght, J.

Bennett, C. H. Lee, S. Gopalan, M. Gardner, P. M. Zeitzoff, G. Groeseneken, R. W. Murto, and H. R. Huff, "Charge Trapping and Mobility Degradation in MOCVD Hafnium Silicate Gate Dielectric Stack Structures," presented at 203rd Fall Meeting of the Electrochemical Society, Physics and Technology of High-K Gate Dielectrics - II, Orlando, FL, 2003.

• [15] C. D. Young, G. Bersuker, G. A. Brown, P. Lysaght, P. Zeitzoff, R. W. Murto, and H. R. Huff, "Charge trapping and device performance degradation in MOCVD hafnium-based gate dielectric stack structures," presented at 42nd Annual IEEE Intl. Reliability Physics Symp. Proc, 2004.

• [16] C. D. Young, P. Zeitzoff, G. Bersuker, and R. Choi, "Comparison of Trap-free Mobility Extraction Techniques for High- Gate Dielectrics," presented at International Workshop on Electrical Characterization and Reliability for High- Devices, 2004.

• [17] C. D. Young, Y. Zhao, M. Pendley, B. H. Lee, K. Matthews, J. H. Sim, R. Choi, G. A. Brown, R. W. Murto, and G. Bersuker, "Ultra-Short Pulse Current - Voltage Characterization of the Intrinsic Charactistics of High-k Devices," to be published in Japanese Journal of Applied Physics, vol. 44, 2005.

• [18] C. D. Young, R. Choi, J. H. Sim, B. H. Lee, P. Zeitzoff, Y. Zhao, K. Matthews, G. A. Brown, and G. Bersuker, "Interfacial Layer Dependence of HfSixOy Gate Stacks on Vt Instability and Charge Trapping Using Ultra-short Pulse I-V Characterization," presented at to be presented at the 43rd Annual IEEE Intl. Reliability Physics Symp. Proc, 2005.

• [19] P. M. Zeitzoff, C. D. Young, G. A. Brown, and K. Yudong, "Correcting effective mobility measurements for the presence of significant gate leakage current," IEEE Electron Device Letters, vol. 24, pp. 275, 2003.

• [20] Y. Zhao, C. D. Young, M. Pendley, K. Matthews, B. H. Lee, and G. A. Brown, "Effective Minimization of Charge Trapping in High-k Gate Dielectrics with an Ultra-Short Pulse Technique," presented at Intl. Conf. on Solid State and Integrated Circuit Technology, 2004.

• [21] W. Zhu, J.-P. Han, and T. P. Ma, "Mobility Measurements and Degradation Mechanisms of MOSFETs Made With Ultrathin High-k Dielectrics," IEEE Transactions on Electron Devices, vol. 51, pp. 98, 2004.

• [22] W. J. Zhu and T. P. Ma, "Temperature dependence of channel mobility in HfO2-gated NMOSFETs," IEEE Electron Device Letters, vol. 25, pp. 89, 2004.