Monte Carlo simulations of the classical two-dimensional discrete frustrated $\phi ^4$ model
Abstract
The classical two-dimensional discrete frustrated model is studied by Monte Carlo simulations. The correlation function is obtained for two values of a parameter that determines the frustration in the model. The ground state is a ferro-phase for and a commensurate phase with period N=6 for . Mean field predicts that at higher temperature the system enters a para-phase via an incommensurate state, in both cases. Monte Carlo data for show two phase transitions with a floating-incommensurate phase between them. The phase transition at higher temperature is of the Kosterlitz-Thouless type. Analysis of the data for shows only a single phase transition between the floating-fluid phase and the ferro-phase within the numerical error.
Cite
@article{arxiv.cond-mat/0212373,
title = {Monte Carlo simulations of the classical two-dimensional discrete frustrated $\phi ^4$ model},
author = {V. V. Savkin and A. N. Rubtsov and T. Janssen},
journal= {arXiv preprint arXiv:cond-mat/0212373},
year = {2009}
}
Comments
5 figures, submitted to the European Physical Journal B