Local Joule heating and the overall resistance change due to void formation
in aluminum interconnects were studied numerically. In the model the TiN/A
l/TiN metallization stack is embedded within the SiO2 dielectric. Three-dim
ensional finite element analyses, taking into account the current shunting
into the barrier layer and the coupling between heat conduction and electri
cal conduction, were carried out. The temperature field and overall resista
nce increase were obtained for various combinations of void geometry and ap
plied current densities. It was found that the joule heat produced at the v
oid site is largely conducted away by the Al line, leading to only small te
mperature gradients along the interconnect. The voiding-induced temperature
rise is significant only under very high current densities and when the vo
id is very large. The overall resistance increase is dominated by the void
geometry, not by the Joule heat and the inherent high resistivity of the ba
rrier layer material.