Smectic blue phases: layered systems with high intrinsic curvature

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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15 pages, 11 figures

Scientific paper

10.1103/PhysRevE.68.041703

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.

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