Periodic splay Fréedericksz transitions in a ferroelectric nematic.

Basnet, Bijaya; Paladugu, Sathyanarayana; Kurochkin, Oleksandr; Buluy, Oleksandr; Aryasova, Natalie; Nazarenko, Vassili G; Shiyanovskii, Sergij V; Lavrentovich, Oleg D · Nat Commun · 2025

basic_science · Level V

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Abstract

Electric field-induced splay of molecular orientation, called the Fréedericksz transition, is a fundamental electro-optic phenomenon in nonpolar nematic liquid crystals. In a ferroelectric nematic N<sub>F</sub> with a spontaneous electric polarization <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math> , the splay is suppressed since it produces bound electric charges. Here, we demonstrate that an alternating current (ac) electric field causes three patterns of N<sub>F</sub> polarization. At low voltages, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math> oscillates around the field-free orientation with no stationary deformations. As the voltage increases, the polarization acquires stationary distortions, first splay and twist in a stripe pattern and then splay and bend in a square lattice of +1 and -1 defects. In all patterns, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math> oscillates around the stationary orientations. The stationary bound charge is reduced by a geometrical "splay cancellation" mechanism that does not require free ions: the charge created by splay in one plane is reduced by splay of an opposite sign in the orthogonal plane.