Iterated Moiré Maps and Braiding of Chiral Polymer Crystals

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Abstract
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 “moiré state” with twisted bond order. In the latter case, polymer trajectories in the plane perpendicular to their average direction are described by iterated moiré maps of remarkable complexity.
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