Study Of A Planar Lattice Model With $P_4$ Interaction

Details Study Of A Planar Lattice Model With $P_4$ Interaction Study Of A Planar Lattice Model With $P_4$ Interaction

1997-08-18

arxiv.org/abs/cond-mat/9708131v1

Physics

Condensed Matter

Soft Condensed Matter

11 pages, six figures (on request), LaTeX format

Scientific paper

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for calculating various thermodynamic averages. A 80$\times$80 lattice has been used to obtain the pair correlation function. To accurately ascertain the order of the phase transition the Ferrenberg-Swendsen technique has been used on a 120$\times$120 lattice. Our study predicts that the system exhibits a first order phase transition which is confirmed by the twin-peaked nature of the distribution function. The pair correlation function shows an algebraic decay at low temperatures and an exponential decay at high temperatures. Mean field and Two-site Cluster calculations have also been performed and the latter is found to predict the thermodynamic averages fairly accurately.

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