Iterated Moire Maps and Braiding of Chiral Polymer Crystals

Physics – Condensed Matter

Scientific paper

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10 pages (plain tex) 3 figures uufiled and appended

Scientific paper

10.1103/PhysRevLett.74.2499

In the hexagonal columnar phase of chiral polymers a bias towards cholesteric twist competes with braiding along an average direction. When the chirality is strong, screw dislocations proliferate, leading to either a tilt grain boundary phase or a new "moire state" with twisted bond order. Polymer trajectories in the plane perpendicular to their average direction are described by iterated moire maps of remarkable complexity.

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