via resistance
**Via Resistance** is the **electrical resistance of the conductive plug connecting two metal layers** — a critical parameter that increases as via dimensions shrink, contributing to the overall RC delay of the interconnect stack.
**What Determines Via Resistance?**
- **Components**: $R_{via} = R_{Cu-fill} + R_{barrier} + 2 imes R_{contact}$ (top and bottom landing).
- **Cu Fill**: $R =
ho L / A$. As via diameter shrinks, area drops quadratically.
- **Barrier**: The TaN/Ta barrier takes up a significant fraction of the via cross-section at small diameters.
- **Contact Resistance**: Interface resistance between via and metal line (depends on cleanliness and barrier quality).
**Why It Matters**
- **Scaling Crisis**: At via diameters < 20 nm, barrier metal occupies > 50% of the cross-section, dramatically increasing resistance.
- **Circuit Impact**: High via resistance increases IR drop and slows signal propagation.
- **Solutions**: Thinner barriers, new barrier materials (Ru, Co), and barrierless via fills.
**Via Resistance** is **the toll booth between metal layers** — a resistance penalty that gets increasingly expensive as interconnect dimensions shrink.