Modeling of Pattern Dependencies for Multi-Level Copper Chemical-Mechanical Polishing Processes
ABSTRACTWepropose an integratedcontact mechanics and density-step-heightmodel of pattern dependencies for the chemical-mechanical polishing (CMP) of multi-level copper interconnects, and show preliminary comparisons with experimental data for the overburden copper removal stage. The model uses contact mechanics to correctly apportion polishing pressure on all sections of an envelop function that reflects the long-range thickness differences on the chip, or region of interest. With the pressure over the entire envelop known, the density-step-height part of the model is then used to compute the amount of material removed in the local “up-areas” and “down-areas”. ThismodelshowspromiseinaccuratelyandefficientlypredictingpostCMPcopperanddielectric thicknesses across an entire chip.