Long Range Order and Correlation Function in Antiferro-electric Smectics

Abstract

Correlation field approximation theory in the transfer matrix method is developed to analyze the correlation functions at an anisotropic system. In the ferro- and antiferro-electric smectic structures, the correlation functions in both directions of layer normal and within the layer are calculated at various temperatures, and weak interlayer correlation is depicted, where the long range order is isotropic in nature.