Topological transition in a two-dimensional model of liquid crystal

Abstract

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.

References in corpus (2)

• Phase Transitions In Two Planar Lattice Models And Topological Defects: A Monte Carlo Study
• Numerical investigation of logarithmic corrections in two-dimensional spin models

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