Monte Carlo simulations of the classical two-dimensional discrete frustrated $φ^4$ model

Details Monte Carlo simulations of the classical two-dimensional discrete frustrated $φ^4$ model Monte Carlo simulations of the classical two-dimensional discrete frustrated $φ^4$ model

2002-12-16

arxiv.org/abs/cond-mat/0212373v2

Eur. Phys. J B 31, 525-531 (2003)

Physics

Condensed Matter

Statistical Mechanics

5 figures, submitted to the European Physical Journal B

Scientific paper

10.1140/epjb/e2003-00062-2

The classical two-dimensional discrete frustrated $\phi ^4$ model is studied by Monte Carlo simulations. The correlation function is obtained for two values of a parameter $d$ that determines the frustration in the model. The ground state is a ferro-phase for $d=-0.35$ and a commensurate phase with period N=6 for $d=-0.45$. Mean field predicts that at higher temperature the system enters a para-phase via an incommensurate state, in both cases. Monte Carlo data for $d=-0.45$ 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 $d=-0.35$ shows only a single phase transition between the floating-fluid phase and the ferro-phase within the numerical error.

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