The mesophases of two infinitely hard models with chiral and anisotropic characteristics in two dimensions are studied. Evidence for nematic and smectic behavior is provided via Monte Carlo simulations using restrictive values of the molecular parameters. Both models are geometrically chiral; one has polar structure. The concept of smectic phase considered in this work requires translational disorder in one direction and signs of translational order in the perpendicular one. The models presented in this paper show these characteristics. The isotropic-nematic phase transition satisfies the features of the Kosterlitz Thouless type. The smectic phase shows signs of quasi-long-range order.

• Received 22 February 2010

DOI:https://doi.org/10.1103/PhysRevE.83.051709