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19 March 2015Advantages and limitations of density functional theory in block copolymer directed self-assembly
A major challenge in the application of block copolymer directed self-assembly (DSA) to advanced lithography is the
exploration of large design spaces, including the selection of confinement shape and size, surface chemistry to affect
wetting conditions, copolymer chain length and block fraction. To sweep such large spaces, a computational model is
ideally both fast and accurate. In this study, we investigate various incarnations of the density functional theory (DFT)
approach and evaluate their suitability to DSA applications. We introduce a new optimization scheme to capitalize on the
speed advantages of DFT, while minimizing loss of accuracy relative to the benchmark of self-consistent field theory
(SCFT). Although current DFT models afford a 100-fold reduction in computational complexity over SCFT, even the
best optimized models fail to match SCFT density profiles and make extremely poor predictions of commensurability
windows and defect energetics. These limitations suggest that SCFT will remain the gold standard for DSA simulations
in the near future.
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Jimmy Liu, Nabil Laachi, Kris T. Delaney, Glenn H. Fredrickson, "Advantages and limitations of density functional theory in block copolymer directed self-assembly," Proc. SPIE 9423, Alternative Lithographic Technologies VII, 94231I (19 March 2015); https://doi.org/10.1117/12.2085666