Textures in a chiral smectic liquid-crystal film

Freely suspended liquid-crystal films of the smectic-I phase of HOBACPC [R(-) hexyloxybenzylidene p’-amino-2-chloropropyl cinnamate] display distinctive stripe and droplet textures. We derive these patterns from a Landau expansion of the free energy using a vector order parameter. Strong pinning boundary conditions lead to boojums in the droplets and stable defect lines between the stripes. The boojum is a two-dimensional version of its namesake in superfluid ${}_{}{}^3{}_{}{}^{}\mathit{A}$. The surface defect in the boojum is expelled from the smectic-I droplet in order to lower the internal gradient energy, leaving a defect-free texture. The expulsion distance and the width of the stripes are calculated in terms of the elastic constants.