ABSTRACT
Manufacturability of a design that is processed with shallow trench isolation (STI) depends on the uniformity of the chemical-mechanical polishing (CMP) step in STI. The CMP step in STI is a dual-material polish, for which all previous studies on dummy feature placement for single-material polish [3, 11, 1] are not applicable. Based on recent semi-physical models of polish pad bending [5], local polish pad compression [2, 10], and different polish rates for materials present in a dual-material polish [2, 13], this paper derives a time-dependent relation between post-CMP topography and layout pattern density for CMP in STI. Using the dependencies derived, the first formulation of dummy feature placement for CMP in STI is given as a nonlinear programming problem. An iterative approach is proposed to solve the dummy feature placement problem. Computational experience on four layouts from Motorola is given.
- 1.Y. Chen, A. Kahng, G. Robins, and A. Zelikovsky. Practical Iterated Fill Synthesis for CMP Uniformity. In Proc. 37th Design Automation Conference, pages 671-674, June 2000. Google ScholarDigital Library
- 2.J. Grillaert. A Study of the Planarization Process during Chemical-Mechanical Polishing for Oxides and Shallow Trench Isolation. Ph. D. Thesis, Catholic University, Leuven, Belgium. May 1999.Google Scholar
- 3.A. Kahng, G. Robins, A. Singh, and A. Zelikovsky. Filling Algorithms and Analyses for Layout Density Control. IEEE Trans. CAD, 18(4):445-462, April 1999. Google ScholarDigital Library
- 4.K. Lucas of Motorola. private communication. 2000.Google Scholar
- 5.D. Ouma, D. Boning, J. Chung, G. Shinn, L. Olsen, and J. Clark. An Integrated Characterization and Modeling Methodology for CMP Dielectric Planarization. In Proc. 1998 IEEE-IITC, pages 67-69, February 1998.Google ScholarCross Ref
- 6.D. Ouma. Modeling of Chemical-Mechanical Polishing for Dielectric Planarization. Ph. D. Thesis, MIT, Cambridge, MA. December 1998.Google Scholar
- 7.W. Press, S. Teukolsky, W. Vetterling, and B. Flannery. Numerical Recipes in C: the Art of Scienti~c Computing. 2nd ed. Cambridge Univeristy Press, Cambridge, UK, 1992. Google ScholarDigital Library
- 8.F. Preston. The Theory and Design of Plate Glass Polishing Machines. J. Soc. Glass Technol., 11:214-256, 1927.Google Scholar
- 9.B. Stine, D. Ouma, R. Divecha, D. Boning, J. Chung, D. L. Hetherington, I. Ali, G. Shinn, J. Clark, O. S. Nakagawa, and S. Oh. A Closed-Form Analytical Model for ILD Thickness Variation in CMP Processes. 1997 CMP-MIC Conference, Santa Clara, CA, February 1997.Google Scholar
- 10.T. Smith. Device Independent Process Control of Dielectric Chemical Mechanical Polishing. Ph. D. Thesis, MIT, Cambridge, MA. September 1999.Google Scholar
- 11.R. Tian, D. F. Wong, and R. Boone. Model-Based Dummy Feature Placement for Oxide Chemical-Mechanical Polishing Manufacturability. In Proc. 37th Design Automation Conference, pages 667-670, June 2000. Google ScholarDigital Library
- 12.E. Travis of Motorola. private communication. 1999.Google Scholar
- 13.T. Tugbawa, T. Park, D. Boning, T. Pan, P. Li, S. Hymes, T. Brown, and L. Camilletti. A Mathematical Model of Pattern Dependence in Cu CMP Process. CMP Symposium in Electrochemical Society Meeting, Honolulu, HA. October 1999.Google Scholar
Index Terms
- Dummy feature placement for chemical-mechanical polishing uniformity in a shallow trench isolation process
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Model-based dummy feature placement for oxide chemical-mechanical polishing manufacturability
DAC '00: Proceedings of the 37th Annual Design Automation ConferenceChemical-mechanical polishing (CMP) is an enabling technique used in deep-submicron VLSI manufacturing to achieve uniformity in long range oxide planarization [1]. Post-CMP oxide topography is highly related to local spatial pattern density in layout. ...
Dummy-feature placement for chemical-mechanical polishing uniformity in a shallow-trench isolation process
Manufacturability of a design that is processed with shallow-trench isolation (STI) depends on the uniformity of the chemical-mechanical polishing (CMP) step in STI. The CMP step in STI is a dual-material polish for which all previous studies on dummy-...
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