Topological transition in a two-dimensional model of liquid crystal

Details Topological transition in a two-dimensional model of liquid crystal Topological transition in a two-dimensional model of liquid crystal

2005-06-28

arxiv.org/abs/cond-mat/0506736v1

Physical Review E 72 (2005) 031711

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.72.031711

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The system is studied through standard Finite-Size Scaling and conformal rescaling of density profiles of correlation functions. A topological transition between a paramagnetic phase at high temperature and a critical phase at low temperature is observed. The low temperature limit is discussed in the spin wave approximation and confirms the numerical results.

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