Confinement twists achiral liquid crystals and causes chiral liquid crystals to twist in the opposite direction

We study the chiral symmetry breaking and metastability of confined nematic lyotropic chromonic liquid crystal (LCLC) with and without chiral dopants. The isotropic-nematic coexistence phase of the LCLC renders two confining geometries: sessile isotropic(I) droplets surrounded by the nematic(N) phase and sessile nematic droplets immersed in the isotropic background. In the achiral system with no dopants, LCLC's elastic anisotropy and topological defects induce a spontaneous twist deformation to lower the energetic penalty of splay deformation, resulting in spiral optical textures under crossed polarizers both in the I-in-N and N-in-I systems. While the achiral system exhibits both handednesses with an equal probability, a small amount of the chiral dopant breaks the balance. Notably, in contrast to the homochiral configuration of a chirally doped LCLC in bulk, the spiral texture of the disfavored handedness appears with a finite probability both in the I-in-N and N-in-I systems. Our director field model elucidates the boundary conditions and energetics behind this chiral symmetry breaking and the metastability of the director configuration having the disfavored handedness. This work sheds light on design considerations in homochiral configurations under confinement.