Chiral twist-bend liquid crystals

Abstract

Recently published preprint (A. Ashkinazi, H.Chhabra, A.El.Moumane, M.M.C.Tortora, J.P.K. Doye, Chirality transfer in lyotropic twist-bend nematics, arXiv:2508.03544v1 (2025)) has reawakened also interest to various mechanisms of chirality transfer from microscopic (molecular) level into the chirality of the structure. In this communication we present a simple theoretical analysis how the transfer occurs for the Landau model of phase transition between cholesteric and chiral twist-bend liquid crystals. We found that the sign of the chiral heliconical spiral is always opposite to that of the cholesteric. Physics behind this relation is based on the orthogonality of the cholesteric director and vector order parameter of the heliconical phase.

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