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Kenta YAMADA Hiroshi KITAHARA Yoshihiko ASAI Hideo SAKAMOTO Norio OKADA Makoto YASUDA Noriaki ODA Michio SAKURAI Masayuki HIROI Toshiyuki TAKEWAKI Sadayuki OHNISHI Manabu IGUCHI Hiroyasu MINDA Mieko SUZUKI
This paper proposes an accurate modeling method of the copper interconnect cross-section in which the width and thickness dependence on layout patterns and density caused by processes (CMP, etching, sputtering, lithography, and so on) are fully incorporated and universally expressed. In addition, we have developed specific test patterns for the model parameters extraction, and an efficient extraction flow. We have extracted the model parameters for 0.15 µm CMOS using this method and confirmed that 10% τpd error normally observed with conventional LPE (Layout Parameters Extraction) was completely dissolved. Moreover, it is verified that the model can be applied to more advanced technologies (90 nm, 65 nm and 55 nm CMOS). Since the interconnect delay variations due to the processes constitute a significant part of what have conventionally been treated as random variations, use of the proposed model could enable one to greatly narrow the guardbands required to guarantee a desired yield, thereby facilitating design closure.