Electromigration, a significant lifetime reliability concern in highperformance integrated circuits, is projected to grow even more important in future heterogeneously integrated systems that will service higher current loads. Today, EM checks are primarily based on rule-based methods, but these have known limitations. In recent years, there has been remarkable progress in enabling fast EM computations based on more accurate physics-based models, but such methods have not yet moved from research to practice. This paper overviews physics-based EM models, contrasts them with empirical models, and outlines several open problems that must be solved in order to enable accurate physics-based and circuit-aware EM analysis and optimization in future integrated systems.

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