Local CD Uniformity (LCDU) measures the critical dimension (CD) variation of features at very small length scales — specifically the CD variation between nominally identical features within a small area (typically within a single die or even within a single field). It captures the random, feature-to-feature dimensional variability that cannot be corrected by scanner or process adjustments.
What LCDU Measures
- Consider a row of 100 nominally identical lines. Measure each line width. The standard deviation of these widths is the LCDU (usually reported as 3σ).
- LCDU captures the random component of CD variation — the part that varies from one feature to the next even under identical processing conditions.
- It is distinct from global CDU (variation across the wafer) or field CDU (variation within an exposure field), which are systematic and correctable.
Why LCDU Matters
- At advanced nodes, transistor performance is extremely sensitive to gate length variation. LCDU directly affects Vt (threshold voltage) variation, which determines circuit speed and power uniformity.
- For SRAM cells, LCDU in gate or fin dimensions determines the minimum operating voltage (Vmin) — worse LCDU means the chip must run at higher voltage, wasting power.
- Yield: Extreme LCDU outliers can cause functional failures — features too wide cause shorts, features too narrow cause opens.
What Drives LCDU
- Photon Shot Noise: The dominant contributor at EUV. Random photon arrival creates random exposure dose, leading to random CD variation.
- Resist Chemistry: Random distribution and activation of photoacid generators, diffusion variability.
- Line Edge Roughness (LER): Closely related — roughness on each edge of a feature contributes to CD variation when measured at any single point along the feature.
- Etch Contributions: Plasma etch adds its own random component to LCDU through microloading and ion angular variations.
Typical Values
- Target LCDU at advanced nodes: 1.0–1.5 nm (3σ) for critical gate or fin patterning layers.
- Current EUV capability: ~1.2–2.0 nm (3σ), depending on resist, dose, and feature type.
Improvement Approaches
- Higher Dose: More photons reduce shot noise contribution. Moving from 30 mJ/cm² to 60 mJ/cm² reduces photon noise by ~30%.
- New Resist Materials: Metal-oxide resists and other non-CAR materials may provide better LCDU at equivalent dose.
- Etch Optimization: Reducing etch-related contributions through process tuning.
LCDU is the key lithographic metric at advanced nodes — it directly connects patterning capability to transistor performance variability and circuit yield.
local cd uniformity (lcdu)local cd uniformitylcdulithography
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