English

Liquids with Chiral Bond Order

Condensed Matter 2009-10-28 v2 chem-ph

Abstract

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>K3K_2>K_3. 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 discuss the topological constraint relating defects in the bond order field to textures of the nematic and elucidate its physical meaning. Finally I discuss 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.

Keywords

Cite

@article{arxiv.cond-mat/9507023,
  title  = {Liquids with Chiral Bond Order},
  author = {Randall D. Kamien},
  journal= {arXiv preprint arXiv:cond-mat/9507023},
  year   = {2009}
}

Comments

plain TeX, 19 Pages, four figures, uufiled and included. Minor correction and clarification

R2 v1 2026-07-22T11:50:09.543Z