J. Phys. II France
Volume 6, Numéro 4, April 1996
Page(s) 461 - 475
DOI: 10.1051/jp2:1996192
J. Phys. II France 6 (1996) 461-475

Liquids with Chiral Bond Order

Randall D. Kamien

School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA

(Received 12 July 1995, received in final form 8 January 1996, accepted 9 January 1995)

I describe new phases of a chiral liquid crystal with nematic and hexatic order. I find a conical phase, similar to that of a cholesteric in an applied magnetic field for Frank elastic constants K2 > K3. I discuss the role of fluctuations in the context of this phase and the possibility of satisfying the inequality for sufficiently long polymers. In addition I derive the topological constraint relating defects in the bond order field to textures of the nematic and elucidate its physical meaning. Finally I make the analogy between smectic liquid crystals and chiral hexatics and propose a defect-riddled ground state, akin to the Renn-Lubensky twist grain boundary phase of chiral smectics.

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