Using a high resolution Monte Carlo simulation technique based on multi-histogram method and cluster-algorithm, we have investigated critical properties of a coupled XY model, consists of a six-fold symmetric hexatic and a three-fold symmetric herringbone field, in two dimensions. The simulation results demonstrate a series of novel continues transitions, in which both long-range hexatic and herringbone orderings are established simultaneously. It is found that the specific-heat anomaly exponents for some regions in coupling constants space are in excellent agreement with the experimentally measured exponents extracted from heat-capacity data near the smecticA-hexaticB transition of two-layer free standing films
@article{arxiv.cond-mat/0510012,
title = {Emergence of hexatic and long-range herringbone order in two-dimensional smectic liquid crystals : A Monte Carlo study},
author = {Farhad Shahbazi and rasool Ghanbari},
journal= {arXiv preprint arXiv:cond-mat/0510012},
year = {2016}
}