Defects in Nematic Liquid Crystal Film with Geometric Grooves

In nanometer scale, the defects in a liquid crystal film with geometric grooves exhibit two forms, namely, surface-induced (−1/2 and +1/2) and −1/2 body defects. When the geometric condition is changed, surface-induced and body defects compete with each other in the liquid crystal film. The order reconstruction of the body and surface-induced defects occurs when the gap is smaller than the threshold value. The effects of the free and periodic boundaries as the boundary conditions for left and right walls on the defects structures are compared in our paper.