Second harmonic light scattering induced by defects in the twist-bend nematic phase of liquid crystal dimers

TL;DR

This study uses second harmonic light scattering to detect polarization fields in the twist-bend nematic phase of liquid crystal dimers, revealing defect-induced signals linked to the phase's chiral structure.

Contribution

It provides experimental evidence of polarization fields in the twist-bend nematic phase via SHLS, connecting defect structures to the phase's unique chiral properties.

Findings

SHLS detects polarization fields associated with defects in the N_TB phase.

Defects are linked to pseudo-layer distortions in the heliconical structure.

Data aligns with a coarse-grained free energy model combining polarization, elasticity, and coupling.

Abstract

The nematic twist-bend ($\mathrm{N_{TB}}$) phase, exhibited by certain thermotropic liquid crystalline (LC) dimers, represents a new orientationally ordered mesophase -- the first distinct nematic variant discovered in many years. The $\mathrm{N_{TB}}$ phase is distinguished by a heliconical winding of the average molecular long axis (director) with a remarkably short (nanoscale) pitch and, in systems of achiral dimers, with an equal probability to form right- and left-handed domains. The $\mathrm{N_{TB}}$ structure thus provides another fascinating example of spontaneous chiral symmetry breaking in nature. The order parameter driving the formation of the heliconical state has been theoretically conjectured to be a polarization field, deriving from the bent conformation of the dimers, that rotates helically with the same nanoscale pitch as the director field. It therefore presents a significant challenge for experimental detection. Here we report a second harmonic light scattering (SHLS) study on two achiral, $\mathrm{N_{TB}}$-forming LCs, which is sensitive to the polarization field due to micron-scale distortion of the helical structure associated with naturally-occurring textural defects. These defects are parabolic focal conics of smectic-like "pseudo-layers", defined by planes of equivalent phase in a coarse-grained description of the $\mathrm{N_{TB}}$ state. Our SHLS data are explained by a coarse-grained free energy density that combines a Landau-deGennes expansion of the polarization field, the elastic energy of a nematic, and a linear coupling between the two.