Electromigration assessment for power grid networks considering temperature and thermal stress effects

With technology scaling, reliability has emerged as a major design constraint for very-large-scale integrated circuits. Many prior works have investigated electromigration (EM) on full-chip power grid interconnects. However, most of the published results were obtained under the assumption of uniformly distributed temperature and/or residual stress across interconnects. In this paper, we demonstrate the implementation of novel methodology and flow for full-chip EM assessment on the multi-layered power grid networks of a 32 nm test-chip and investigate the impacts of the within-die temperature and thermal stress variations on the failure rate. The proposed approach is based on recently developed physics-based EM models and the EM-induced IR-drop degradation criterion that replaces the traditional conservative weakest segment method. The cross-layout temperature distribution caused by power dissipations in devices and by interconnect Joule heating has been characterized and taken into account in the full-chip EM assessment methodology. Results of the simulations performed on the analyzed multi-layered power/ground nets show that traditional assumption of the uniform average temperature leads to inaccurate predictions of the time-to-failure. Furthermore, the consideration of thermal stress variation results in a retarded EM induced degradation.