Phase Transitions In Two Planar Lattice Models And Topological Defects: A Monte Carlo Study

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Monte Carlo simulation has been performed in the planar P(₂) and P(₄) models to investigate the effects of the suppression of topological defects on the phase transition exhibited by these models. Suppression of the 1/2-defects on the square plaquettes in the P(₂) model leads to complete elimination of the phase transition observed in this model. However in the P(₄) model, on suppressing the single 1/2-defects on square plaquettes, the otherwise first order phase transition changes to a second order one which occurs at a higher temperature and this is due to presence of large number of 1/2-pair defects which are left within the square plaquettes. When we suppressed these charges too, complete elimination of phase transition was observed.