Iterated Moire Maps and Braiding of Chiral Polymer Crystals

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 "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.Comment: 10 pages (plain tex) 3 figures uufiled and appende