Thermal phase diagram of a model Hamiltonian for columnar phases of liquid crystals

Details Thermal phase diagram of a model Hamiltonian for columnar phases of liquid crystals Thermal phase diagram of a model Hamiltonian for columnar phases of liquid crystals

1995-09-06

arxiv.org/abs/cond-mat/9509030v1

Physics

Condensed Matter

11 figures available upon request

Scientific paper

10.1103/PhysRevE.54.550

We present the phase diagram and critical properties of a coupled $XY$-Ising model on a triangular lattice using the mean-field approximation, the Migdal-Kadanoff scheme of renormalization group and Monte-Carlo simulations. The topology of the phase diagram is similar for the three techniques, with the appearance of a phase with $XY$ order and Ising disorder. The results suggest a line of transitions belonging to the 2D-Ising universality class in contrast with previous data indicating a new universality class. This model is relevant to the columnar phases of discotic liquid crystals [such as hexa(hexylthio)triphenylene (HHTT)] in the limit of weak intercolumn coupling.

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