Phys. Rev. E 68, 041703 (2003) [11 pages]Smectic blue phases: Layered systems with high intrinsic curvatureReceived 7 July 2003; published 13 October 2003 We report on a construction for smectic blue phases, which have quasi-long-range smectic translational order as well as three-dimensional crystalline order. Our proposed structures fill space by adding layers on top of a minimal surface, introducing either curvature or edge defects as necessary. We find that for the right range of material parameters, the favorable saddle-splay energy of these structures can stabilize them against uniform layered structures. We also consider the nature of curvature frustration between mean curvature and saddle splay. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.041703
DOI:
10.1103/PhysRevE.68.041703
PACS:
61.30.Mp, 61.30.Jf, 02.40.-k
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