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Behavioral Polymer Modeling for Virtual Fabrication
using Directed Self-Assembly at the 5 nm Node
Mattan Kamon, Yiguang Yan, William Clark, Daniel Faken, Ken Greiner, David Fried
Coventor, Inc.
1st International Symposium on DSA
October 26, 2015
Overview
Motivation
• To deploy DSA, it must reliably integrate into a full semiconductor process flow
• Virtual Fabrication software has proven vital in predicting yield issues in process integration, but not with DSA
NEW: Virtual Fabrication with DSA
• Behavioral DSA modeling for Virtual Fabrication
• Integration of DSA into 5nm SRAM:
• SAQP vs. LiNe DSA for Mx lines
Slide 2
Virtual Fabrication
Build integrated devices virtually
• Applicable to ANY process & ANY layout
• Replaces build & test with accurate 3D modeling of large areas & complex process sequences
• Models a complete integrated process flow; FEOL, MOL, BEOL
• Provides a predictive view of design-technology interactions
Layout:
Design, OPC, PrintSim, etc.
Process Sequence:
Step-by-Step Process
Behavioral Description
3D Result:
RMG FinFET Demo
Self-Aligned Contact
TFMHM BEOL w/ SAV
Slide 4
Virtual Fabrication
Modeling Engine
Click for full animation of above:
VirtualFabricationModelBuild.gif
(uses rackcdn.com)
Why Virtual Fabrication?
Slide 5
CMOS Scaling Era:
Fabrication flow was predictable and
mostly 2D
Scaled unit process challenges
Process variation was small compared
to nominal dimensions,
Time/Cost was spent on performance
optimization ramp
Technology modeling tools addressed
performance-centric metrics (ION, IOFF,
R, C, etc.)
Post-Scaling Era:
Fabrication flow is complex and
entirely 3D
Challenges are in integration;
Process variation is on the same scale
as nominal dimensions,
Time/Cost is spent on integration and
structural yield ramp
Technology modeling requires a more
structural, yield-centric approach
VIRTUAL FABRICATION
Trial-and-Error technology development is not acceptable
Behavioral Process Modeling
Slide 6
Start
Fin Module
STI Module
Wells
Gate Module
DEP SacOx
DEP SacGate Poly
CMP SacGate
DEP Cap Nitride
DEP Cap Ox
DEP ODL
DEP SiArc
DEP Resist
EXP Resist Gate
ETCH Gate HM RIE
ETCH Resist Strip
DEP Cut ODL
DEP Cut SiArc
DEP Cut Resist
EXP Cut Resist
ETCH Cut RIE
ETCH Resist Strip
ETCH Gate RIE
… etc …
How can we model a complete, integrated
process flow?
• Hundreds of individual unit processes
• Unit process models must simulate in minutes
NOT hours or days like typical unit process sim
Type: Planarizing Dep
Material: ODL
Nominal Depth: 35 nm
Smooth Radius: 35 nm
Answer:
• Fast, physics-based behavioral unit process
models
Type: Visibility-Limited Dep
Material: SiO2 LTO
Nominal Depth: 2 nm
Source Spread: 2 radians
Isotropic Ratio: 0.1
Epitaxy Model
Epitaxial growth is sensitive to crystal planes <111> directions normally grow slowest and form limiting facets.
22nm Tri-gate (Intel)
Embedded SiGe in planar technology
(Intel, IBM)
SiGe
FinFET SiGe Epitaxy
FinFET SiGe Epitaxy (with residual oxide)
Behavioral growth models, not atomistic models
Click for Animation:
SiGeEpitaxy.gif
Advanced Etch Modeling
Physics-driven etch modeling of
Multi-material film stacks
Multiple types of etch physics
Slide 10
STI Etches
Spacer Etches
Key Features • Etch physics:
• Redeposition (aka passivation)
• Sputtering (physical etching)
• Etch bias (lateral or chemical etching)
“Shoulder” forms on Nitride as HM pulls
back
TFMHM M2 Overetch
Click for Animation: M2_Overetch.gif
Virtual Metrology and Automation
Example Self-Aligned Contact
Overlay Variation
Auth, VLSI 2012
• Predictive process
deck built using
public TEMs
• Variation analysis
using Expeditor
batch tool
• Virtual Metrology extracting 3D interface
surface area – would require out-of-fab
destructive characterization
• Physical parameter serves as electrical
sensitivity for resistance or reliability
criteria
MOL Variation Analysis
Behavioral DSA modeling
Slide 13
• “Behavioral” (to be described)
• Cahn-Hillard / Cell-Dynamics Simulation
• Density Functional Theory (OK)
• Dissipative Particle Dynamics (DPD)
• Self-consistent field theory (SCFT)
• Coarse-grained Monte Carlo (CGMC)
• Atomistic models
Increasing
Detail,
slower
simulation
More
Behavioral,
faster
simulation
Cahn-Hillard Equation
Slide 14
𝜕𝜙 𝑟, 𝑡
𝜕𝑡= 𝑀𝛻2 −𝑏𝜙 + 𝑢𝜙3 − 𝐾𝛻2𝜙 − 𝐵𝜙
𝜙𝐴, 𝜙𝐵 are the volume fraction concentrations of block A and block B,
𝜙 𝑟, 𝑡 = 𝜙𝐴(𝑟, 𝑡) − 𝜙𝐵(𝑟, 𝑡)
Chemical brush strengths are added term (not shown)
Phenomenological Modeling
0
20
40
60
80
100
120
140
0 100000 200000 300000 400000
Ela
psed
Tim
e (
s)
Area (nm^2)
Simulates fast and time scales linearly with build area,
but 𝑏, 𝑢, 𝐾 𝑎𝑛𝑑 𝐵 depend on polymer properties 𝜒, 𝑁, 𝑓𝐴, 𝑓𝐵
Behavioral DSA
• Detailed polymer properties such as 𝜒, 𝑁, 𝑓𝐴, 𝑓𝐵 are
NOT of interest at time of Process Integration
• Polymer Domain size, L0, is detail of interest
• Choose 𝑏, 𝑢, 𝐾 𝑎𝑛𝑑 𝐵 that are a function of L0 only
and captures behavior
• Response to brush strength
• “Healing” effects of DSA (imperfect pattern)
• Incommensurability (when pattern pitch ≠ n*L0)
Slide 15
Brush strength contrast shortens anneal
Slide 16
Edwards, E. W., Stoykovich, M. P., Muller, M.
Solak, H. H., de Pablo, J. J. and Nealey, P.F.,
Journal of Polymer Science Part B: Polymer
Physics, 2005
T=3hr
T=6hr
T=24
hr
Experiment
S = 1 S = 2 S = 3
T = 1
T = 10
T = 20
.
Behavioral DSA Simulation
Increasing PS brush strength,
PMMA neutral
Commensurability
Slide 17
Paulina Rincon Delgadillo; Roel
Gronheid IMEC
Detcheverry and Liu . et al.,
Macromolecules, 2010, 3446-
3454
Experiment
0
5
10
15
20
25
30
35
40
0.95 0.97 0.99 1.01 1.03 1.05
An
ne
al T
ime
(Pattern Pitch)/(4*L0)
Anneal Time to Defect Free
1
2
3
Behavioral DSA
Simulation
Example: Integration of DSA for 5nm SRAM BEOL
Slide 18
Cell
Template M2 Lines for SAQP Mandrel or LiNe 4x DSA
SAQP vs DSA Patterning of M2 lines at 22nm pitch using 88nm pitch template
SAQP and DSA process flows
• DSA expected to be less sensitive to
process variation
• BUT BY HOW MUCH AND HOW? Click for animation:
DSA_animation.gif
Click for animation:
SAQP_animation.gif
Minimum Insulator Width
Slide 21
DSA and SAQP steps
• Tuned for 6nm Minimum Insulator
• Under ±2 variation in lithographic exposure, deposition
thickness and over-etch %
Minimum Line Width
Slide 22
SAQP: less robust minimum line width (tuned for min insulator)
DSA: better minimum line width at nominal and through variation
Overall: DSA much less sensitive to prior process variation than an SAQP
Summary
• DSA must reliably integrate into full semiconductor process flow
• To enable this integration, DSA added to a Virtual Fabrication using behavioral DSA simulation
• Demonstrated value by quantifying the difference in robustness of M2 line patterning between sample SAQP and DSA flows
Slide 23
Future and Thanks
Future work:
Cylinders!
Questions? Ask me [email protected]
Slide 24
Special thanks: Paul Nealey, Juan de Pablo, Ricardo Ruiz
(SPIE Adv Litho Short Course on DSA)
Robert Seidel, Jimmy Liu, Grant Garner, Tim F.
(good hallway conversations at SPIE Adv Litho)
The End
http://www.coventor.com/semiconductor-solutions/
Slide 25