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NUMERICAL TECHNOLOGIES, INC.
Sub-wavelength Sub-wavelength Lithography: An Impact of Lithography: An Impact of Photo Mask Errors on Photo Mask Errors on Circuit PerformanceCircuit Performance
Sub-wavelength Sub-wavelength Lithography: An Impact of Lithography: An Impact of Photo Mask Errors on Photo Mask Errors on Circuit PerformanceCircuit Performance
L. Karklin, S. Mazor,
D.Joshi1, A. Balasinski2,
and V. Axelrad3
L. Karklin, S. Mazor,
D.Joshi1, A. Balasinski2,
and V. Axelrad3 1Numerical Technologies, Inc., USA, 2Cypress Semiconductor, USA, and 3Sequoia Design Systems, USA
SPIE’02 ml4691-24
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
AgendaAgenda
Introduction Experimental conditions
Simulation flow Sensitivity analysis Monte Carlo simulation of mask CD errors
Results and discussion Lithography data Device and circuit simulation Summary
Introduction Experimental conditions
Simulation flow Sensitivity analysis Monte Carlo simulation of mask CD errors
Results and discussion Lithography data Device and circuit simulation Summary
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
The sub-wavelength era impacts the full design-to-manufacturing flow
The sub-wavelength era impacts the full design-to-manufacturing flow
MASK
SILICONWAFER
LAYOUT
MASK
SILICONWAFER
Above Wavelength What is drawn in design is printed on Silicon - “WYSIWYG”
LAYOUT MASK SILICON WAFER= =
SubWavelength
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
MASKMASK
We need new design software and infrastructure to account for process effects and distortions from design through final device
We need new design software and infrastructure to account for process effects and distortions from design through final device
DESIGN
LAYOUT
SILICON
DEVICEThe photomask is the most critical link in that flow
ITRS 2001, SEMATECH
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Simulation flowSimulation flow
MASKMASK
DESIGN
LAYOUT
SILICON
DEVICE
MASKMASKLAYOUT
SILICON
DEVICE
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Experimental flowExperimental flow
Litho data
Sensitivity analysis
Device and circuit simulation
7
NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Experimental flowExperimental flow
ICWB
NA, , RET
Photo Mask CD Distribution
Wafer CD Distribution
Wafer CD Distribution
SDD•Device Parametric Yield
•Circuit (Ring Oscillator) C:\Circuit.ppt
0
200
400
600
800
1000
1200
0
200
400
600
800
1000
1200
1400
1600
1800
2000
72.4
74.1
75.8
77.5
79.2
80.8
82.5
84.2
85.9
87.6
0
200
400
600
800
1000
1200
Device Parameters
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Lithography optionsLithography options
Design Rules: Design: An Isolated line CD=80 nm , Dense lines pitch=220nm Target CD =70 nm (in resist, all dimensions are on wafer scale)
=248 nm (KrF) and = 193 nm (ArF); 4x Reduction mask; NA=0.75; Conventional (circular) Illumination: =0.75; RET used:
Annular Illumination: in= 0.60; out= 0.80; Scatter Bars: 40 nm, optimized placement (based on min. MEF) PSM: EAPSM, Phase=180°, T=10%
Design Rules: Design: An Isolated line CD=80 nm , Dense lines pitch=220nm Target CD =70 nm (in resist, all dimensions are on wafer scale)
=248 nm (KrF) and = 193 nm (ArF); 4x Reduction mask; NA=0.75; Conventional (circular) Illumination: =0.75; RET used:
Annular Illumination: in= 0.60; out= 0.80; Scatter Bars: 40 nm, optimized placement (based on min. MEF) PSM: EAPSM, Phase=180°, T=10%
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Sensitivity analysisSensitivity analysis
• SEQUOIA Design Systems’ Sensitivity
Analysis estimates device variability for a
given level of manufacturing control
70 nm
MOSFET
Lpoly
• For a 70nm device
we obtain:
Vth=340mV13mV
Idsat=1mA0.09mA
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Variability sourcesVariability sources
Main source of variability is CD Control (Lpoly) Lpoly responsible for 71% of Vth variability Lpoly responsible for 84% of Idsat variability
Main source of variability is CD Control (Lpoly) Lpoly responsible for 71% of Vth variability Lpoly responsible for 84% of Idsat variability
Vth Idsat
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Lpoly (Gate) CD variationsLpoly (Gate) CD variations
Gaussian Distribution
10,000 Samples
3 = 20 nm, 40 nm;
Lpoly
0
200
400
600
800
1000
1200
1400
1600
1800
2000
72.4
74.1
75.8
77.5
79.2
80.8
82.5
84.2
85.9
87.6-3s +3
s
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Mask Yield Projections - Historical Base
CD 3-Sigma Mask Yields
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25 30 35 40 45 50 55CD Tolerance (nm)
% Y
ield
Year 0-1
Year 1-2
Year 2-3
Slide courtesy of Brian Grenon, Grenon Consulting, Inc.
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Mask CD uniformityMask CD uniformity
Data courtesy of Anja Rosenbusch, Etec Systems Inc., an Applied Materials Company
5 nm on wafer
10 nm on wafer
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Lithography dataLithography data
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Mask CD distribution mapped to the wafer CD distribution
Mask CD distribution mapped to the wafer CD distribution
Wafer CD distribution depends on the lithography options used
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Mask linearity dataMask linearity data
40
45
50
55
60
65
70
75
80
85
90
72 74 76 78 80 82 84 86 88
DENSE-193_bin_C
DENSE-193_bin_Ann
DENSE-193_att_Ann
ISO-193_bin_C
ISO-193_bin_Ann
ISO-193_att_Ann
Design [nm]
Wafer [nm]
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
0.0
1.0
2.0
3.0
4.0
5.0
6.0
Iso_b
in_c
Iso_b
in_c_
SB_opt
Iso_b
in_c_
SB_nop
t
Iso_b
in_an
n_SB_n
opt
Iso_b
in_an
n_SB_o
pt
Dense
_bin_
c
Dense
_bin_
ann
Dense
_att_
ann
MEF
MEF data for 248 nm lithographyMEF data for 248 nm lithography
MEF
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
MEF data for 193 nm lithographyMEF data for 193 nm lithography
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Dense
_bin
Dense
_bin_a
nn
Dense
_att
Dense
_att_
ann
Iso_
bin
Iso-
att
Iso-
ann
Iso_
c_SB
Iso_
ann_SB
MEF
MEF
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Simulated wafer CD distributionSimulated wafer CD distribution
0
500
1000
1500
2000
2500
56.6
59.8
63.0
66.0
68.9
71.9
74.8
77.5
80.1
82.7
Gaussian193_ann
0
500
1000
1500
2000
2500
46.1
52.0
57.8
62.5
67.2
72.0
76.7
80.4
84.0
87.5
Gaussian248_ann
0
500
1000
1500
2000
2500
50.3
55.5
60.6
65.1
69.6
74.0
78.5
82.4
86.1
89.9
Gaussian193_c
0
500
1000
1500
2000
2500
19.3
32.5
45.2
53.9
62.6
71.3
79.9
84.6
88.7
92.9
Gaussian248_c
193 nm
Annular
248 nm
Annular
193 nm
Circular
248 nm
Circular
+/- 3 +/- 3
+/- 3 +/- 3
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Device and circuit simulationDevice and circuit simulation
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Wafer CD (Lpoly) distribution translated to MOSFET Vth distribution
Wafer CD (Lpoly) distribution translated to MOSFET Vth distribution
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Wafer CD (Lpoly) distribution translated to ring oscillator speed
Wafer CD (Lpoly) distribution translated to ring oscillator speed
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Statistical analysis of the simulated dataStatistical analysis of the simulated data
Using SDD one can calculate a fractional yield based on custom specifications
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
Ring oscillator frequency distributionRing oscillator frequency distribution
0200
400600
80010001200
14001600
18002000
19.8
18.5
17.6
16.9
16.3
15.8
15.2
14.7
14.4
14.2
1.7ISO_CA3
0
200
400
600
800
1000
1200
19.8
18.5
17.6
16.9
16.3
15.8
15.2
14.7
14.4
14.2
3.3ISO_CA3
0200400
600800
100012001400
160018002000
18.0
17.6
17.2
16.8
16.3
16.1
15.7
15.3
15.1
14.8
1.7DENSE_Ann_PSMA3
0
200
400
600
800
1000
1200
18.0
17.6
17.2
16.8
16.3
16.1
15.7
15.3
15.1
14.8
3.3DENSE_Ann_PSMA3
3=20 nm* 3s=40 nm*
* On the 4x Mask
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NUMERICAL TECHNOLOGIES, INC.Lnk 2001
SummarySummary
We presented a comprehensive method by which to evaluate the layout/mask dependent device and circuit performance for different lithography options.
We simulated large numbers of random mask errors and propagated these data through the virtual MOSFET manufacturing pipeline by using fast lithography and device simulators linked together.
Using statistical analysis we estimated the impact of mask CD errors (3) and lithography options (RET) on the printed wafer data and final circuit (RO) performance.
Proposed methodology can be applied either to simulated data or to experimental data.
We presented a comprehensive method by which to evaluate the layout/mask dependent device and circuit performance for different lithography options.
We simulated large numbers of random mask errors and propagated these data through the virtual MOSFET manufacturing pipeline by using fast lithography and device simulators linked together.
Using statistical analysis we estimated the impact of mask CD errors (3) and lithography options (RET) on the printed wafer data and final circuit (RO) performance.
Proposed methodology can be applied either to simulated data or to experimental data.